Edit Profile (opens in new tab) Mac Lane, Leslie Saunders Compute Distance To: Compute Author ID: mac-lane.saunders Published as: MacLane, Saunders; MacLane, S.; Mac Lane, Saunders; Mac Lane, S.; Maclane, Saunders; McLane, Saunders; McLane, S. External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 224 Publications since 1934, including 29 Books 8 Contributions as Editor · 5 Further Contributions Biographic References: 19 Publications Co-Authors: 54 Co-Authors with 82 Joint Publications 1,163 Co-Co-Authors all top 5 Co-Authors 151 single-authored 26 Eilenberg, Samuel 13 Birkhoff, Garrett 11 Schilling, Otto Franz Georg 7 Adkisson, Virgil William 3 Davis, Martin David 3 Kelly, Gregory Maxwell 3 Moerdijk, Ieke 2 Becker, M. F. 2 Clifford, Alfred H. 2 Dold, Albrecht 2 Henkin, Leon Albert 2 Lax, Peter David 2 McShane, Edward James 2 Oberst, Ulrich 2 Taussky-Todd, Olga 1 Abbott, James C. 1 Adámek, Jiří 1 Aleksandrov, Pavel Sergeevich 1 Alperin, Jonathan L. 1 Atiyah, Michael Francis 1 Bass, Hyman 1 Bellman, Richard Ernest 1 Benabou, Jean 1 Bliss, Gilbert Ames 1 Blum, Lenore 1 Borel, Armand 1 Brewer, James W. 1 Browder, Felix Earl 1 Buchi, J. Richard 1 Cartan, Henri 1 Chaitin, Gregory J. 1 Davis, Philip J. 1 Davis, Robert Clay jun. 1 Delorme, Charles 1 Dubinsky, Ed 1 Feferman, Solomon 1 Feit, Walter 1 Freyd, Peter J. 1 Friedan, Daniel Harry 1 Gaal, Lisl 1 Gale, David 1 Gilmer, Robert W. jun. 1 Glimm, James G. 1 Graham, Ronald Lewis 1 Gray, Jeremy John 1 Gray, John W. 1 Green, Judy 1 Haimo, Franklin 1 Hale-La Salle 1 Hall, Carl Alan 1 Hammond, A. 1 Hardy, Godfrey Harold 1 Harrison, David K. 1 Heller, Alex 1 Hersh, Reuben 1 Hirsch, Morris W. 1 Hocquemiller, J. 1 Holt, Derek F. 1 Hoppensteadt, Frank C. 1 Isbell, John Rolfe 1 Jackson, Dunham 1 Kac, Mark 1 Kalman, Rudolf Emil 1 Kimberling, Clark H. 1 LaDuke, Jeanne 1 Lam, Tsit-Yuen 1 Lanczos, Cornelius 1 Lavit, Christine 1 Lehmer, Derrick Henry 1 Leron, Uri 1 Levinson, Norman 1 Mandelbrot, Benoit B. 1 Merzbach, Uta C. 1 Mezard, A. 1 Moore, David S. 1 Moore, Marion E. 1 Niven, Ivan Morton 1 Olds, C. D. 1 Paré, Robert 1 Penrose, Roger 1 Raoult, Jean-Claude 1 Richard, I. 1 Rohrl, Helmut 1 Roos, Jan-Erik 1 Ruelle, David Pierre 1 Schmidt, Friedrich Karl 1 Schwartz, Jacob Theodore 1 Schwarz, Albert S. 1 Scott, Elizabeth L. 1 Siefkes, Dirk 1 Smith, Martha K. 1 Steen, Lynn Arthur 1 Swan, Richard Gordon 1 Tarwater, Dalton 1 Thom, René 1 Thompson, Philip Duncan 1 Trèves, François 1 Trotskaia Lehmer, Emma 1 Uhlenbeck, Karen Keskulla 1 Ulam, Stanisław Marcin ...and 7 more Co-Authors all top 5 Serials 28 Bulletin of the American Mathematical Society 17 Annals of Mathematics. Second Series 16 Proceedings of the National Academy of Sciences of the United States of America 15 Transactions of the American Mathematical Society 12 American Journal of Mathematics 12 Duke Mathematical Journal 11 American Mathematical Monthly 7 Notices of the American Mathematical Society 6 Lecture Notes in Mathematics 5 The Mathematical Intelligencer 5 Journal of Pure and Applied Algebra 3 Graduate Texts in Mathematics 2 Fundamenta Mathematicae 2 Illinois Journal of Mathematics 2 Mathematica Japonica 2 Applied Categorical Structures 2 Grundlehren der Mathematischen Wissenschaften 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Canadian Journal of Mathematics 1 Gazeta de Matemática (Lisboa) 1 Journal of Algebra 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Mathematische Annalen 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Revista Matematica Hispano-Americana. 4a Serie. Publicada por Real Sociedad Matematica Espanola 1 Rice University Studies 1 Synthese 1 Annals of Pure and Applied Logic 1 Philosophia Mathematica. Second Series 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Philosophia Mathematica. Series III 1 Mathematics Series. Texas Tech University 1 Pure and Applied Mathematics, Marcel Dekker 1 Science 1 Universitext 1 Classics in Mathematics all top 5 Fields 54 Category theory; homological algebra (18-XX) 40 History and biography (01-XX) 29 General and overarching topics; collections (00-XX) 21 Mathematical logic and foundations (03-XX) 13 Group theory and generalizations (20-XX) 11 Algebraic topology (55-XX) 10 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 2 General algebraic systems (08-XX) 2 Algebraic geometry (14-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 168 Publications have been cited 6,292 times in 5,408 Documents Cited by ▼ Year ▼ Categories for the working mathematician. 2nd ed. Zbl 0906.18001Mac Lane, Saunders 1,194 1998 Categories for the working mathematician. Zbl 0232.18001Mac Lane, Saunders 1,055 1971 Categories for the working mathematician. 4th corrected printing. Zbl 0705.18001MacLane, Saunders 666 1988 Homology. Zbl 0133.26502Mac Lane, Saunders 325 1963 Homology. Reprint of the 3rd corr. print. 1975. Zbl 0818.18001Mac Lane, Saunders 319 1995 Sheaves in geometry and logic: a first introduction to topos theory. Zbl 0822.18001Mac Lane, Saunders; Moerdijk, Ieke 298 1992 Natural associativity and commutativity. Zbl 0244.18008MacLane, Saunders 147 1963 On the groups \(H(\Pi,n)\). I. Zbl 0050.39304Eilenberg, Samuel; MacLane, Saunders 145 1953 On the groups \(H(\Pi,n)\). II. Zbl 0055.41704Eilenberg, Samuel; MacLane, Saunders 131 1954 Categorical algebra. Zbl 0161.01601MacLane, S. 120 1965 Cohomology theory in abstract groups. I. Zbl 0029.34001Eilenberg, S.; MacLane, S. 101 1947 Cohomology theory in abstract groups. II. Zbl 0029.34101Eilenberg, S.; MacLane, S. 82 1947 Algebra. First printing. Zbl 0153.32401MacLane, S.; Birkhoff, G. 79 1967 General theory of natural equivalences. Zbl 0061.09204Eilenberg, Samuel; MacLane, Saunders 76 1945 On the 3-type of a complex. Zbl 0035.39001MacLane, Saunders; Whitehead, J. H. C. 72 1950 Coherence in closed categories. Zbl 0212.35001Kelly, G. M.; MacLane, S. 69 1971 A survey of modern algebra. Revised ed. Zbl 0052.25402Birkhoff, Garrett; MacLane, Saunders 62 1953 A construction for absolute values in polynomial rings. JFM 62.1106.02MacLane, S. 45 1936 A survey of modern algebra. 5th ed. Zbl 0863.00001Birkhoff, Garrett; Mac Lane, Saunders 42 1997 Homology. Zbl 0149.26203MacLane, S. 41 1966 Coherence for bicategories and indexed categories. Zbl 0567.18003MacLane, Saunders; Paré, Robert 40 1985 Relations between homology and homotopy groups of spaces. Zbl 0061.40702Eilenberg, Samuel; MacLane, Saunders 39 1945 An interpretation of the cohomology groups \(H^ n(G,M)\). Zbl 0699.20040Holt, D. F. 33 1979 A combinatorial condition for planar graphs. Zbl 0015.37501MacLane, Saunders 33 1937 The homology products in \(K(\Pi,n)\). Zbl 0059.16405MacLane, Saunders 32 1954 An algebra of additive relations. Zbl 0123.01102MacLane, Saunders 31 1961 Cohomology theory in abstract groups. III. Operator homomorphisms of kernels. Zbl 0039.25703MacLane, Saunders 30 1949 Group extensions and homology. Zbl 0061.40602Eilenberg, Samuel; MacLane, Saunders 29 1942 Acyclic models. Zbl 0050.17205Eilenberg, Samuel; MacLane, Saunders 28 1953 A structural characterization of planar combinatorial graphs. Zbl 0017.42702MacLane, Saunders 26 1937 Topology and logic as a source of algebra. Zbl 0324.55001Mac Lane, Saunders 26 1976 A survey of modern algebra. 4th ed. Zbl 0365.00006Birkhoff, Garrett; MacLane, Saunders 26 1977 Homology. 3rd corr. print. Zbl 0328.18009Mac Lane, Saunders 25 1975 Duality for groups. Zbl 0045.29905MacLane, Saunders 24 1950 The universality of formal power series fields. JFM 65.0093.02MacLane, S. 22 1939 Some interpretations of abstract linear dependence in terms of projective geometry. Zbl 0013.19503MacLane, Saunders 22 1936 Cohomology and Galois theory. I. Normality of algebras and Teichmüller’s cocycle. Zbl 0031.34301Eilenberg, Samuel; MacLane, Saunders 21 1948 A construction for absolute values in polynomial rings. Zbl 0015.29202MacLane, Saunders 21 1936 Mathematics: Form and function. Zbl 0675.00001Mac Lane, Saunders 20 1986 A lattice formulation for transcendence degrees and p-bases. Zbl 0019.39201MacLane, Saunders 18 1938 Modular fields. I. Separating transcendence bases. Zbl 0021.10102MacLane, Saunders 18 1939 Zero-dimensional branches of rank one on algebraic varieties. Zbl 0023.29402MacLane, Saunders; Schilling, O. F. G. 18 1939 Homology of spaces with operators. II. Zbl 0034.11101Eilenberg, Samuel; MacLane, Saunders 18 1949 Relations between homology and homotopy groups of spaces. II. Zbl 0036.12602Eilenberg, Samuel; MacLane, Saunders 18 1950 A survey of modern algebra. Zbl 0061.04802Birkhoff, Garrett; Mac Lane, Saunders 18 1941 A structural characterization of planar combinatorial graphs. JFM 63.0549.01Mac Lane, S. 17 1937 A construction for prime ideals as absolute values of an algebraic field. JFM 62.0096.02MacLane, S. 17 1936 Extensions and obstructions for rings. Zbl 0081.03303MacLane, Saunders 16 1958 A lattice formulation for transcendence degrees and \(p\)-bases. JFM 64.0072.02Mac Lane, S. 15 1938 Reports of the Midwest Category Seminar. Zbl 0165.33001Bénabou, Jean; Davis, Robert; Dold, A.; Isbell, John R.; MacLane, S.; Oberst, U.; Roos, Jan-Erik 15 1967 Saunders Mac Lane: a mathematical autobiography. Zbl 1089.01010Mac Lane, Saunders 15 2005 Homology theories for multiplicative systems. Zbl 0043.25403Eilenberg, Samuel; MacLane, Saunders 15 1951 Some interpretations of abstract linear dependence in terms of projective geometry. JFM 62.0649.02MacLane, S. 14 1936 Cohomology theory of abelian groups and homotopy theory. I. Zbl 0037.39504Eilenberg, Samuel; McLane, Saunders 14 1950 Cohomology theory of abelian groups and homotopy theory. II. Zbl 0039.19002Eilenberg, Samuel; MacLane, Saunders 14 1950 On the groups \(H(\varPi,n)\). III. Operations and obstructions. Zbl 0057.15302Eilenberg, Samuel; MacLane, Saunders 14 1954 Relations between homology and homotopy groups. Zbl 0061.40701Eilenberg, Samuel; MacLane, Saunders 13 1943 Algebraic cohomology groups and loops. Zbl 0029.34102Eilenberg, Samuel; MacLane, Saunders 12 1947 A construction for prime ideals as absolute values of an algebraic field. Zbl 0015.05801MacLane, Saunders 12 1936 Subfields and automorphism groups of \(p\)-adic fields. Zbl 0021.00501MacLane, Saunders 11 1939 Subfields and automorphism groups of \(p\)-adic fields. JFM 65.0092.02MacLane, S. 11 1939 Proceedings of the Conference on Categorical Algebra. La Jolla 1965. Zbl 0178.29005 11 1966 Eilenberg-MacLane: Collected works. Zbl 0613.01018Eilenberg, Samuel; MacLane, Saunders 11 1986 Groups, categories and duality. Zbl 0031.24702MacLane, Saunders 10 1948 Algebra. 3rd. ed. Zbl 0641.12001MacLane, Saunders; Birkhoff, Garrett 10 1988 The universality of formal power series fields. Zbl 0022.30401MacLane, Saunders 9 1939 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 9 1994 Determination of the second homology and cohomology groups of a space by means of homotopy invariants. Zbl 0061.40707Eilenberg, Samuel; MacLane, Saunders 9 1946 The minimum number of generators for inseparable algebraic extensions. Zbl 0022.30402Becker, M. F.; MacLane, S. 8 1940 Mathematical models: A sketch for the philosophy of mathematics. Zbl 0468.00019MacLane, Saunders 8 1981 Cohomology theory of abelian groups and homotopy theory. III. Zbl 0042.41406Eilenberg, Samuel; MacLane, Saunders 8 1951 Criteria for excellence in mathematics. Zbl 0628.01019MacLane, Saunders 8 1986 Symmetry of algebras over a number field. Zbl 0032.10801MacLane, Saunders 7 1948 Origins of the cohomology of groups. Zbl 0379.18012Mac Lane, Saunders 7 1978 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 Duality for groups. Zbl 0041.36306MacLane, Saunders 7 1950 Natural isomorphisms in group theory. Zbl 0061.09203Eilenberg, Samuel; MacLane, Saunders 7 1942 Erratum: Coherence in closed categories. Zbl 0215.09703Kelly, G. M.; Mac Lane, S. 6 1971 Zero-dimensional branches of rank one on algebraic varieties. JFM 65.1140.02MacLane, S.; Schilling, O. F. 6 1939 Mathematics, form and function. Zbl 0666.00019Mac Lane, Saunders 6 1986 Structure in mathematics. Zbl 0905.18001Mac Lane, Saunders 5 1996 Topos theory. Zbl 0858.18001MacLane, S.; Moerdijk, I. 5 1996 Foundations for categories and sets. Zbl 0218.18003MacLane, Saunders 5 1969 The minimum number of generators for inseparable algebraic extensions. JFM 66.0115.01Becker, M. F.; MacLane, S. 5 1940 A combinatorial condition for planar graphs. JFM 63.0548.01Mac Lane, S. 5 1937 On the homology theory of Abelian groups. Zbl 0064.02701Eilenberg, Samuel; MacLane, Saunders 5 1955 A proof of the subgroup theorem for free products. Zbl 0085.01403MacLane, Saunders 5 1958 Triple torsion products and multiple Künneth formulas. Zbl 0093.02101Maclane, Saunders 5 1960 Infinite number fields with Noether ideal theories. Zbl 0021.20104MacLane, Saunders; Schilling, O. F. G. 4 1939 Reports of the Midwest category seminar. IV. Zbl 0198.00201 4 1970 Algèbre. Tome I: Structures fondamentales. Zbl 0201.01801MacLane, S.; Birkhoff, G. 4 1970 The collected works of J. Richard Büchi. Edited by Saunders Mac Lane and Dirk Siefkes. Zbl 0725.68006Büchi, J. Richard 4 1990 Why commutative diagrams coincide with equivalent proofs. Zbl 0504.18004Mac Lane, Saunders 4 1982 Projective classes and acyclic models. Zbl 1375.18006Dold, A.; Mac Lane, S.; Oberst, U. 4 1967 On universe as a foundation for category theory. Zbl 0211.32202Mac Lane, S. 4 1969 Coherence in categories. Zbl 0234.00006 4 1972 Kategorien. Begriffssprache und mathematische Theorie. Aus dem Englischen übersetzt von Klaus Schürger. Zbl 0243.18001Mac Lane, Saunders 4 1972 Locally small categories and the foundations of set theory. Zbl 0116.00902MacLane, S. 4 1961 Reports of the Midwest Category Seminar. II. Zbl 0165.00201 4 1968 Cohomology groups of Abelian groups and homotopy theory. IV. Zbl 0046.16701Eilenberg, Samuel; MacLane, Saunders 4 1952 Saunders Mac Lane: a mathematical autobiography. Zbl 1089.01010Mac Lane, Saunders 15 2005 Contrary statements about mathematics. Zbl 1025.03053Mac Lane, Saunders 1 2000 Categories for the working mathematician. 2nd ed. Zbl 0906.18001Mac Lane, Saunders 1,194 1998 Samuel Eilenberg (1913-1998). Zbl 0908.01023Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders 1 1998 A survey of modern algebra. 5th ed. Zbl 0863.00001Birkhoff, Garrett; Mac Lane, Saunders 42 1997 Despite physicists, proof is essential in mathematics. Zbl 1052.00512MacLane, Saunders 3 1997 Garrett Birkhoff (1911–1996) and the survey of modern algebra. Zbl 0908.01019Mac Lane, Saunders 2 1997 Structure in mathematics. Zbl 0905.18001Mac Lane, Saunders 5 1996 Topos theory. Zbl 0858.18001MacLane, S.; Moerdijk, I. 5 1996 Homology. Reprint of the 3rd corr. print. 1975. Zbl 0818.18001Mac Lane, Saunders 319 1995 Mathematics at Göttingen under the Nazis. Zbl 1042.01536Mac Lane, Saunders 1 1995 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 9 1994 Sheaves in geometry and logic: a first introduction to topos theory. Zbl 0822.18001Mac Lane, Saunders; Moerdijk, Ieke 298 1992 Is Mathias an ontologist? Zbl 0786.03001Mac Lane, Saunders 1 1992 Coherence theorems and conformal field theory. Zbl 0789.18006Mac Lane, Saunders 1 1992 Algebras as a means of understanding mathematics. A joint AMS-MAA lecture presented in Columbus, OH, USA, August 1990. Videotape (NTSC; 60 min VHS). Zbl 0925.00031Mac Lane, Saunders 1 1991 The collected works of J. Richard Büchi. Edited by Saunders Mac Lane and Dirk Siefkes. Zbl 0725.68006Büchi, J. Richard 4 1990 Mathematics at the University of Chicago. A brief history. Zbl 0667.01023Mac Lane, Saunders 3 1989 Categories for the working mathematician. 4th corrected printing. Zbl 0705.18001MacLane, Saunders 666 1988 Algebra. 3rd. ed. Zbl 0641.12001MacLane, Saunders; Birkhoff, Garrett 10 1988 Decker’s sharper Künneth formula. Zbl 0655.18010Mac Lane, Saunders 2 1988 Group extensions for 45 years. Zbl 0657.01011Mac Lane, Saunders 2 1988 Mathematics: Form and function. Zbl 0675.00001Mac Lane, Saunders 20 1986 Eilenberg-MacLane: Collected works. Zbl 0613.01018Eilenberg, Samuel; MacLane, Saunders 11 1986 Criteria for excellence in mathematics. Zbl 0628.01019MacLane, Saunders 8 1986 Mathematics, form and function. Zbl 0666.00019Mac Lane, Saunders 6 1986 Mathematical logic is neither foundation nor philosophy. Zbl 1156.03308MacLane, Saunders 1 1986 Topology becomes algebraic with Vietoris and Noether. Zbl 0577.01030Mac Lane, Saunders 1 1986 Coherence for bicategories and indexed categories. Zbl 0567.18003MacLane, Saunders; Paré, Robert 40 1985 Julia Bowman Robinson 1919-1985. Zbl 0571.01026Henkin, L.; Lehmer, D. H.; Lehmer, Emma; Scott, E.; Kelley, J.; Gaal, L.; Gale, D.; Davis, M.; MacLane, S.; Niven, I.; Pitcher, E.; Blum, L.; Feferman, S. 1 1985 Applications of categorical algebra. Zbl 0588.18009MacLane, S. 1 1985 Spectral complications in cohomology computations. Zbl 0553.20031MacLane, Saunders 1 1984 The health of mathematics. Zbl 1366.00035Mac Lane, Saunders 4 1983 Why commutative diagrams coincide with equivalent proofs. Zbl 0504.18004Mac Lane, Saunders 4 1982 Mathematical models: A sketch for the philosophy of mathematics. Zbl 0468.00019MacLane, Saunders 8 1981 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 An interpretation of the cohomology groups \(H^ n(G,M)\). Zbl 0699.20040Holt, D. F. 33 1979 Origins of the cohomology of groups. Zbl 0379.18012Mac Lane, Saunders 7 1978 The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013 1 1978 A survey of modern algebra. 4th ed. Zbl 0365.00006Birkhoff, Garrett; MacLane, Saunders 26 1977 Topology and logic as a source of algebra. Zbl 0324.55001Mac Lane, Saunders 26 1976 The work of Samuel Eilenberg in topology. Zbl 0338.55001Mac Lane, Saunders 1 1976 Homology. 3rd corr. print. Zbl 0328.18009Mac Lane, Saunders 25 1975 Sets, topoi, and internal logic in categories. Zbl 0313.18001Maclane, Saunders 3 1975 Coherence in categories. Zbl 0234.00006 4 1972 Kategorien. Begriffssprache und mathematische Theorie. Aus dem Englischen übersetzt von Klaus Schürger. Zbl 0243.18001Mac Lane, Saunders 4 1972 Closed coherence for a natural transformation. Zbl 0245.18003Kelly, G. M.; Mac Lane, Saunders 3 1972 Categories for the working mathematician. Zbl 0232.18001Mac Lane, Saunders 1,055 1971 Coherence in closed categories. Zbl 0212.35001Kelly, G. M.; MacLane, S. 69 1971 Erratum: Coherence in closed categories. Zbl 0215.09703Kelly, G. M.; Mac Lane, S. 6 1971 Categorical algebra and set-theoretic foundations. Zbl 0219.02044MacLane, S. 2 1971 Reports of the Midwest category seminar. V. Zbl 0222.18001 2 1971 Algèbre. Tome II: Les grands théorèmes. Zbl 0213.28901MacLane, S.; Birkhoff, G. 1 1971 Reports of the Midwest category seminar. IV. Zbl 0198.00201 4 1970 Algèbre. Tome I: Structures fondamentales. Zbl 0201.01801MacLane, S.; Birkhoff, G. 4 1970 Hamiltonian mechanics and geometry. Zbl 0212.56703Mac Lane, S. 3 1970 A combinatorial condition for planar graphs. Zbl 0213.50601MacLane, S. 3 1970 The Milgram bar construction as a tensor product of functors. Zbl 0216.45405Mac Lane, S. 3 1970 The influence of M. H. Stone on the origins of category theory. Zbl 0261.18001MacLane, Saunders 1 1970 Foundations for categories and sets. Zbl 0218.18003MacLane, Saunders 5 1969 On universe as a foundation for category theory. Zbl 0211.32202Mac Lane, S. 4 1969 Reports of the Midwest category seminar. III. Zbl 0184.03504 3 1969 Possible programs for categorists. Zbl 0215.38901MacLane, Saunders 1 1969 Reports of the Midwest Category Seminar. II. Zbl 0165.00201 4 1968 Algebra. First printing. Zbl 0153.32401MacLane, S.; Birkhoff, G. 79 1967 Reports of the Midwest Category Seminar. Zbl 0165.33001Bénabou, Jean; Davis, Robert; Dold, A.; Isbell, John R.; MacLane, S.; Oberst, U.; Roos, Jan-Erik 15 1967 Projective classes and acyclic models. Zbl 1375.18006Dold, A.; Mac Lane, S.; Oberst, U. 4 1967 Homology. Zbl 0149.26203MacLane, S. 41 1966 Proceedings of the Conference on Categorical Algebra. La Jolla 1965. Zbl 0178.29005 11 1966 Categorical algebra. Zbl 0161.01601MacLane, S. 120 1965 Homology. Zbl 0133.26502Mac Lane, Saunders 325 1963 Natural associativity and commutativity. Zbl 0244.18008MacLane, Saunders 147 1963 Some recent advances in algebra. Zbl 0199.04802MacLane, S. 1 1963 An algebra of additive relations. Zbl 0123.01102MacLane, Saunders 31 1961 Locally small categories and the foundations of set theory. Zbl 0116.00902MacLane, S. 4 1961 The cohomology theory of a pair of groups. Zbl 0099.25204Haimo, F.; MacLane, S. 1 1961 Triple torsion products and multiple Künneth formulas. Zbl 0093.02101Maclane, Saunders 5 1960 Group extensions by primary abelian groups. Zbl 0091.02203MacLane, Saunders 4 1960 Metric postulates for plane geometry. Zbl 0087.35102MacLane, Saunders 1 1959 Extensions and obstructions for rings. Zbl 0081.03303MacLane, Saunders 16 1958 A proof of the subgroup theorem for free products. Zbl 0085.01403MacLane, Saunders 5 1958 Homologie des anneaux et des modules. Zbl 0084.26703MacLane, Saunders 3 1957 On the homology theory of Abelian groups. Zbl 0064.02701Eilenberg, Samuel; MacLane, Saunders 5 1955 On the groups \(H(\Pi,n)\). II. Zbl 0055.41704Eilenberg, Samuel; MacLane, Saunders 131 1954 The homology products in \(K(\Pi,n)\). Zbl 0059.16405MacLane, Saunders 32 1954 On the groups \(H(\varPi,n)\). III. Operations and obstructions. Zbl 0057.15302Eilenberg, Samuel; MacLane, Saunders 14 1954 On the groups \(H(\Pi,n)\). I. Zbl 0050.39304Eilenberg, Samuel; MacLane, Saunders 145 1953 A survey of modern algebra. Revised ed. Zbl 0052.25402Birkhoff, Garrett; MacLane, Saunders 62 1953 Acyclic models. Zbl 0050.17205Eilenberg, Samuel; MacLane, Saunders 28 1953 Cohomology groups of Abelian groups and homotopy theory. IV. Zbl 0046.16701Eilenberg, Samuel; MacLane, Saunders 4 1952 Cohomology theory of Abelian groups. Zbl 0049.01401MacLane, Saunders 1 1952 Homology theories for multiplicative systems. Zbl 0043.25403Eilenberg, Samuel; MacLane, Saunders 15 1951 Cohomology theory of abelian groups and homotopy theory. III. Zbl 0042.41406Eilenberg, Samuel; MacLane, Saunders 8 1951 On the 3-type of a complex. Zbl 0035.39001MacLane, Saunders; Whitehead, J. H. C. 72 1950 Duality for groups. Zbl 0045.29905MacLane, Saunders 24 1950 Relations between homology and homotopy groups of spaces. II. Zbl 0036.12602Eilenberg, Samuel; MacLane, Saunders 18 1950 Cohomology theory of abelian groups and homotopy theory. I. Zbl 0037.39504Eilenberg, Samuel; McLane, Saunders 14 1950 Cohomology theory of abelian groups and homotopy theory. II. Zbl 0039.19002Eilenberg, Samuel; MacLane, Saunders 14 1950 Duality for groups. Zbl 0041.36306MacLane, Saunders 7 1950 Cohomology theory in abstract groups. III. Operator homomorphisms of kernels. Zbl 0039.25703MacLane, Saunders 30 1949 ...and 68 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,807 Authors 26 Cegarra, Antonio Martínez 23 Petrić, Zoran 22 Pultr, Aleš 22 Street, Ross H. 21 Grandis, Marco 21 Power, John 20 Došen, Kosta 20 Huebschmann, Johannes 20 Jacobs, Bart 20 Solovyov, Sergey A. 19 Mac Lane, Leslie Saunders 18 Pirashvili, Teimuraz 17 Tholen, Walter 16 Day, Brian John 16 Diaconescu, Răzvan 16 Janelidze, George 16 Lack, Stephen 16 Real, Pedro 15 Baez, John C. 15 Rump, Wolfgang 14 Baues, Hans-Joachim 14 Blanc, David Abraham 14 Mazorchuk, Volodymyr 14 Porst, Hans-Eberhard 14 Voutsadakis, George 13 Banaschewski, Bernhard 13 Bourn, Dominique 13 Garner, Richard 13 Heunen, Chris 13 Höhle, Ulrich 13 Kelly, Gregory Maxwell 13 Makkai, Michael 13 Milius, Stefan 12 Adámek, Jiří 12 Chirvăsitu, Alexandru 12 Dvurečenskij, Anatolij 12 Dwyer, William G. 12 Janelidze, Zurab 12 Klin, Bartek 12 Nishimura, Hirokazu 11 Brown, Ronald 11 Cabrer, Leonardo Manuel 11 Generalov, Aleksandr Ivanovich 11 Goguen, Joseph Amadee 11 Lawson, Mark Verus 11 Mesablishvili, Bachuki 11 Montanari, Ugo G. 11 Runkel, Ingo 11 Solov’ëv, Sergeĭ Vladimirovich 11 Zafiris, Elias 11 Zanasi, Fabio 10 Garzón, Antonio R. 10 Li, Qingguo 10 Martins-Ferreira, Nelson 10 Menni, Matías 10 Nart, Enric 10 Plotkin, Boris 10 Poinsot, Laurent 10 Schröder, Lutz 10 Shimizu, Kenichi 10 Vitale, Enrico Maria 9 Aladova, Elena V. 9 Ardizzoni, Alessandro 9 Awodey, Steve 9 Balmer, Paul 9 Bezhanishvili, Guram 9 Bonchi, Filippo 9 Breen, Lawrence S. 9 Caenepeel, Stefaan 9 Fiore, Marcelo P. 9 Gadducci, Fabio 9 Gutiérrez García, Javier 9 Kan, Daniel Marinus 9 Katsov, Yefim 9 Kubiak, Tomasz 9 Kurz, Alexander 9 MacDonald, John L. 9 Markl, Martin 9 Menini, Claudia 9 Mikhaĭlov, Roman Valer’evich 9 Porter, Timothy 9 Schweigert, Christoph 9 Scott, Philip J. 9 van der Linden, Tim 9 Wang, Shuanhong 8 Bousfield, A. K. 8 Bulacu, Daniel 8 Carlson, Jon Frederick 8 Carrasco, Pilar C. 8 Diers, Yves 8 Keigher, William F. 8 Niefield, Susan B. 8 Palmgren, Erik 8 Schauerte, Anneliese 8 Sobociński, Paweł 8 Sobral, Manuela 8 Spivak, David I. 8 Steinberg, Benjamin 8 Tabuada, Gonçalo 8 Torrecillas Jover, Blas ...and 4,707 more Authors all top 5 Cited in 483 Serials 490 Journal of Pure and Applied Algebra 346 Journal of Algebra 259 Transactions of the American Mathematical Society 185 Applied Categorical Structures 183 Advances in Mathematics 130 Theoretical Computer Science 126 Communications in Algebra 109 Cahiers de Topologie et Géométrie Différentielle Catégoriques 84 Topology and its Applications 82 Mathematische Zeitschrift 82 Proceedings of the American Mathematical Society 75 Fuzzy Sets and Systems 68 Algebra Universalis 64 Theory and Applications of Categories 62 Annals of Pure and Applied Logic 61 Algebraic & Geometric Topology 58 Communications in Mathematical Physics 56 MSCS. Mathematical Structures in Computer Science 51 Bulletin of the American Mathematical Society 46 Journal of Mathematical Sciences (New York) 45 Semigroup Forum 43 Journal of Homotopy and Related Structures 42 Mathematische Annalen 39 Linear Algebra and its Applications 38 Manuscripta Mathematica 36 International Journal of Theoretical Physics 33 Discrete Mathematics 33 Journal of Algebra and its Applications 31 The Journal of Symbolic Logic 30 Archiv der Mathematik 30 Logical Methods in Computer Science 29 Studia Logica 29 Algebras and Representation Theory 28 Israel Journal of Mathematics 28 Information and Computation 27 Journal of Geometry and Physics 27 Inventiones Mathematicae 27 Synthese 25 Journal of Mathematical Physics 23 Selecta Mathematica. New Series 22 Bulletin of the Australian Mathematical Society 22 Compositio Mathematica 22 Cahiers de Topologie et Géométrie Différentielle Catégoriques 20 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 20 Czechoslovak Mathematical Journal 20 Geometry & Topology 19 Bulletin of the American Mathematical Society. New Series 18 Annales de l’Institut Fourier 18 Duke Mathematical Journal 18 Tohoku Mathematical Journal. Second Series 18 Journal of Symbolic Computation 18 International Journal of Algebra and Computation 17 Journal of Functional Analysis 16 Journal of Mathematical Analysis and Applications 16 Memoirs of the American Mathematical Society 16 Nagoya Mathematical Journal 16 Rendiconti del Seminario Matematico della Università di Padova 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 Journal of Computer and System Sciences 14 Quaestiones Mathematicae 14 Order 14 \(K\)-Theory 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Journal of Combinatorial Theory. Series B 13 Mathematische Nachrichten 13 Siberian Mathematical Journal 13 Journal of the American Mathematical Society 13 Mathematical Logic Quarterly (MLQ) 13 The Bulletin of Symbolic Logic 13 Soft Computing 13 Journal of High Energy Physics 13 Journal of Noncommutative Geometry 13 The Review of Symbolic Logic 12 Acta Informatica 12 Discrete Applied Mathematics 12 International Journal of General Systems 12 Nuclear Physics. B 12 The Mathematical Intelligencer 12 Geometriae Dedicata 12 European Journal of Combinatorics 12 International Journal of Mathematics 12 Documenta Mathematica 11 Mathematical Notes 11 Reports on Mathematical Physics 11 Bulletin de la Société Mathématique de France 11 Journal of Soviet Mathematics 11 Archive for Mathematical Logic 11 Indagationes Mathematicae. New Series 10 Letters in Mathematical Physics 10 Mathematical Systems Theory 10 Forum Mathematicum 10 Formal Aspects of Computing 10 Journal of Knot Theory and its Ramifications 10 Journal of Functional Programming 10 Foundations of Computational Mathematics 10 Journal of Logical and Algebraic Methods in Programming 9 Linear and Multilinear Algebra 9 Theoretical and Mathematical Physics 9 Notre Dame Journal of Formal Logic 9 Proceedings of the Edinburgh Mathematical Society. Series II ...and 383 more Serials all top 5 Cited in 61 Fields 2,465 Category theory; homological algebra (18-XX) 791 Associative rings and algebras (16-XX) 747 Algebraic topology (55-XX) 706 Group theory and generalizations (20-XX) 675 Mathematical logic and foundations (03-XX) 627 Computer science (68-XX) 403 Order, lattices, ordered algebraic structures (06-XX) 367 Algebraic geometry (14-XX) 296 Manifolds and cell complexes (57-XX) 293 Quantum theory (81-XX) 260 General topology (54-XX) 255 Commutative algebra (13-XX) 243 Combinatorics (05-XX) 237 Functional analysis (46-XX) 235 Nonassociative rings and algebras (17-XX) 194 General algebraic systems (08-XX) 155 \(K\)-theory (19-XX) 140 Field theory and polynomials (12-XX) 133 Topological groups, Lie groups (22-XX) 111 Differential geometry (53-XX) 106 Number theory (11-XX) 99 Global analysis, analysis on manifolds (58-XX) 87 General and overarching topics; collections (00-XX) 74 Linear and multilinear algebra; matrix theory (15-XX) 66 Systems theory; control (93-XX) 58 Several complex variables and analytic spaces (32-XX) 51 Convex and discrete geometry (52-XX) 50 Dynamical systems and ergodic theory (37-XX) 49 History and biography (01-XX) 40 Relativity and gravitational theory (83-XX) 38 Geometry (51-XX) 35 Operator theory (47-XX) 31 Information and communication theory, circuits (94-XX) 29 Statistics (62-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Probability theory and stochastic processes (60-XX) 26 Biology and other natural sciences (92-XX) 22 Partial differential equations (35-XX) 21 Real functions (26-XX) 21 Numerical analysis (65-XX) 20 Measure and integration (28-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Abstract harmonic analysis (43-XX) 17 Ordinary differential equations (34-XX) 17 Operations research, mathematical programming (90-XX) 14 Functions of a complex variable (30-XX) 13 Mechanics of particles and systems (70-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematics education (97-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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