## Mac Lane, Leslie Saunders

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 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
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### 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
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### 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
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### 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)

### 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 0906.18001
Mac Lane, Saunders
1998
Categories for the working mathematician. Zbl 0232.18001
Mac Lane, Saunders
1971
Categories for the working mathematician. 4th corrected printing. Zbl 0705.18001
MacLane, Saunders
1988
Homology. Zbl 0133.26502
Mac Lane, Saunders
1963
Homology. Reprint of the 3rd corr. print. 1975. Zbl 0818.18001
Mac Lane, Saunders
1995
Sheaves in geometry and logic: a first introduction to topos theory. Zbl 0822.18001
Mac Lane, Saunders; Moerdijk, Ieke
1992
Natural associativity and commutativity. Zbl 0244.18008
MacLane, Saunders
1963
On the groups $$H(\Pi,n)$$. I. Zbl 0050.39304
Eilenberg, Samuel; MacLane, Saunders
1953
On the groups $$H(\Pi,n)$$. II. Zbl 0055.41704
Eilenberg, Samuel; MacLane, Saunders
1954
Categorical algebra. Zbl 0161.01601
MacLane, S.
1965
Cohomology theory in abstract groups. I. Zbl 0029.34001
Eilenberg, S.; MacLane, S.
1947
Cohomology theory in abstract groups. II. Zbl 0029.34101
Eilenberg, S.; MacLane, S.
1947
Algebra. First printing. Zbl 0153.32401
MacLane, S.; Birkhoff, G.
1967
General theory of natural equivalences. Zbl 0061.09204
Eilenberg, Samuel; MacLane, Saunders
1945
On the 3-type of a complex. Zbl 0035.39001
MacLane, Saunders; Whitehead, J. H. C.
1950
Coherence in closed categories. Zbl 0212.35001
Kelly, G. M.; MacLane, S.
1971
A survey of modern algebra. Revised ed. Zbl 0052.25402
Birkhoff, Garrett; MacLane, Saunders
1953
A construction for absolute values in polynomial rings. JFM 62.1106.02
MacLane, S.
1936
A survey of modern algebra. 5th ed. Zbl 0863.00001
Birkhoff, Garrett; Mac Lane, Saunders
1997
Homology. Zbl 0149.26203
MacLane, S.
1966
Coherence for bicategories and indexed categories. Zbl 0567.18003
MacLane, Saunders; Paré, Robert
1985
Relations between homology and homotopy groups of spaces. Zbl 0061.40702
Eilenberg, Samuel; MacLane, Saunders
1945
An interpretation of the cohomology groups $$H^ n(G,M)$$. Zbl 0699.20040
Holt, D. F.
1979
A combinatorial condition for planar graphs. Zbl 0015.37501
MacLane, Saunders
1937
The homology products in $$K(\Pi,n)$$. Zbl 0059.16405
MacLane, Saunders
1954
An algebra of additive relations. Zbl 0123.01102
MacLane, Saunders
1961
Cohomology theory in abstract groups. III. Operator homomorphisms of kernels. Zbl 0039.25703
MacLane, Saunders
1949
Group extensions and homology. Zbl 0061.40602
Eilenberg, Samuel; MacLane, Saunders
1942
Acyclic models. Zbl 0050.17205
Eilenberg, Samuel; MacLane, Saunders
1953
A structural characterization of planar combinatorial graphs. Zbl 0017.42702
MacLane, Saunders
1937
Topology and logic as a source of algebra. Zbl 0324.55001
Mac Lane, Saunders
1976
A survey of modern algebra. 4th ed. Zbl 0365.00006
Birkhoff, Garrett; MacLane, Saunders
1977
Homology. 3rd corr. print. Zbl 0328.18009
Mac Lane, Saunders
1975
Duality for groups. Zbl 0045.29905
MacLane, Saunders
1950
The universality of formal power series fields. JFM 65.0093.02
MacLane, S.
1939
Some interpretations of abstract linear dependence in terms of projective geometry. Zbl 0013.19503
MacLane, Saunders
1936
Cohomology and Galois theory. I. Normality of algebras and Teichmüller’s cocycle. Zbl 0031.34301
Eilenberg, Samuel; MacLane, Saunders
1948
A construction for absolute values in polynomial rings. Zbl 0015.29202
MacLane, Saunders
1936
Mathematics: Form and function. Zbl 0675.00001
Mac Lane, Saunders
1986
A lattice formulation for transcendence degrees and p-bases. Zbl 0019.39201
MacLane, Saunders
1938
Modular fields. I. Separating transcendence bases. Zbl 0021.10102
MacLane, Saunders
1939
Zero-dimensional branches of rank one on algebraic varieties. Zbl 0023.29402
MacLane, Saunders; Schilling, O. F. G.
1939
Homology of spaces with operators. II. Zbl 0034.11101
Eilenberg, Samuel; MacLane, Saunders
1949
Relations between homology and homotopy groups of spaces. II. Zbl 0036.12602
Eilenberg, Samuel; MacLane, Saunders
1950
A survey of modern algebra. Zbl 0061.04802
Birkhoff, Garrett; Mac Lane, Saunders
1941
A structural characterization of planar combinatorial graphs. JFM 63.0549.01
Mac Lane, S.
1937
A construction for prime ideals as absolute values of an algebraic field. JFM 62.0096.02
MacLane, S.
1936
Extensions and obstructions for rings. Zbl 0081.03303
MacLane, Saunders
1958
A lattice formulation for transcendence degrees and $$p$$-bases. JFM 64.0072.02
Mac Lane, S.
1938
Reports of the Midwest Category Seminar. Zbl 0165.33001
Bénabou, Jean; Davis, Robert; Dold, A.; Isbell, John R.; MacLane, S.; Oberst, U.; Roos, Jan-Erik
1967
Saunders Mac Lane: a mathematical autobiography. Zbl 1089.01010
Mac Lane, Saunders
2005
Homology theories for multiplicative systems. Zbl 0043.25403
Eilenberg, Samuel; MacLane, Saunders
1951
Some interpretations of abstract linear dependence in terms of projective geometry. JFM 62.0649.02
MacLane, S.
1936
Cohomology theory of abelian groups and homotopy theory. I. Zbl 0037.39504
Eilenberg, Samuel; McLane, Saunders
1950
Cohomology theory of abelian groups and homotopy theory. II. Zbl 0039.19002
Eilenberg, Samuel; MacLane, Saunders
1950
On the groups $$H(\varPi,n)$$. III. Operations and obstructions. Zbl 0057.15302
Eilenberg, Samuel; MacLane, Saunders
1954
Relations between homology and homotopy groups. Zbl 0061.40701
Eilenberg, Samuel; MacLane, Saunders
1943
Algebraic cohomology groups and loops. Zbl 0029.34102
Eilenberg, Samuel; MacLane, Saunders
1947
A construction for prime ideals as absolute values of an algebraic field. Zbl 0015.05801
MacLane, Saunders
1936
Subfields and automorphism groups of $$p$$-adic fields. Zbl 0021.00501
MacLane, Saunders
1939
Subfields and automorphism groups of $$p$$-adic fields. JFM 65.0092.02
MacLane, S.
1939
Proceedings of the Conference on Categorical Algebra. La Jolla 1965. Zbl 0178.29005
1966
Eilenberg-MacLane: Collected works. Zbl 0613.01018
Eilenberg, Samuel; MacLane, Saunders
1986
Groups, categories and duality. Zbl 0031.24702
MacLane, Saunders
1948
Algebra. 3rd. ed. Zbl 0641.12001
MacLane, Saunders; Birkhoff, Garrett
1988
The universality of formal power series fields. Zbl 0022.30401
MacLane, Saunders
1939
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, 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
1994
Determination of the second homology and cohomology groups of a space by means of homotopy invariants. Zbl 0061.40707
Eilenberg, Samuel; MacLane, Saunders
1946
The minimum number of generators for inseparable algebraic extensions. Zbl 0022.30402
Becker, M. F.; MacLane, S.
1940
Mathematical models: A sketch for the philosophy of mathematics. Zbl 0468.00019
MacLane, Saunders
1981
Cohomology theory of abelian groups and homotopy theory. III. Zbl 0042.41406
Eilenberg, Samuel; MacLane, Saunders
1951
Criteria for excellence in mathematics. Zbl 0628.01019
MacLane, Saunders
1986
Symmetry of algebras over a number field. Zbl 0032.10801
MacLane, Saunders
1948
Origins of the cohomology of groups. Zbl 0379.18012
Mac Lane, Saunders
1978
Emmy Noether. A tribute to her life and work. Zbl 0543.01009
1981
Duality for groups. Zbl 0041.36306
MacLane, Saunders
1950
Natural isomorphisms in group theory. Zbl 0061.09203
Eilenberg, Samuel; MacLane, Saunders
1942
Erratum: Coherence in closed categories. Zbl 0215.09703
Kelly, G. M.; Mac Lane, S.
1971
Zero-dimensional branches of rank one on algebraic varieties. JFM 65.1140.02
MacLane, S.; Schilling, O. F.
1939
Mathematics, form and function. Zbl 0666.00019
Mac Lane, Saunders
1986
Structure in mathematics. Zbl 0905.18001
Mac Lane, Saunders
1996
Topos theory. Zbl 0858.18001
MacLane, S.; Moerdijk, I.
1996
Foundations for categories and sets. Zbl 0218.18003
MacLane, Saunders
1969
The minimum number of generators for inseparable algebraic extensions. JFM 66.0115.01
Becker, M. F.; MacLane, S.
1940
A combinatorial condition for planar graphs. JFM 63.0548.01
Mac Lane, S.
1937
On the homology theory of Abelian groups. Zbl 0064.02701
Eilenberg, Samuel; MacLane, Saunders
1955
A proof of the subgroup theorem for free products. Zbl 0085.01403
MacLane, Saunders
1958
Triple torsion products and multiple Künneth formulas. Zbl 0093.02101
Maclane, Saunders
1960
Infinite number fields with Noether ideal theories. Zbl 0021.20104
MacLane, Saunders; Schilling, O. F. G.
1939
Reports of the Midwest category seminar. IV. Zbl 0198.00201
1970
Algèbre. Tome I: Structures fondamentales. Zbl 0201.01801
MacLane, S.; Birkhoff, G.
1970
The collected works of J. Richard Büchi. Edited by Saunders Mac Lane and Dirk Siefkes. Zbl 0725.68006
Büchi, J. Richard
1990
Why commutative diagrams coincide with equivalent proofs. Zbl 0504.18004
Mac Lane, Saunders
1982
Projective classes and acyclic models. Zbl 1375.18006
Dold, A.; Mac Lane, S.; Oberst, U.
1967
On universe as a foundation for category theory. Zbl 0211.32202
Mac Lane, S.
1969
Coherence in categories. Zbl 0234.00006
1972
Kategorien. Begriffssprache und mathematische Theorie. Aus dem Englischen übersetzt von Klaus Schürger. Zbl 0243.18001
Mac Lane, Saunders
1972
Locally small categories and the foundations of set theory. Zbl 0116.00902
MacLane, S.
1961
Reports of the Midwest Category Seminar. II. Zbl 0165.00201
1968
Cohomology groups of Abelian groups and homotopy theory. IV. Zbl 0046.16701
Eilenberg, Samuel; MacLane, Saunders
1952
Saunders Mac Lane: a mathematical autobiography. Zbl 1089.01010
Mac Lane, Saunders
2005
Contrary statements about mathematics. Zbl 1025.03053
Mac Lane, Saunders
2000
Categories for the working mathematician. 2nd ed. Zbl 0906.18001
Mac Lane, Saunders
1998
Samuel Eilenberg (1913-1998). Zbl 0908.01023
Bass, Hyman; Cartan, Henri; Freyd, Peter; Heller, Alex; MacLane, Saunders
1998
A survey of modern algebra. 5th ed. Zbl 0863.00001
Birkhoff, Garrett; Mac Lane, Saunders
1997
Despite physicists, proof is essential in mathematics. Zbl 1052.00512
MacLane, Saunders
1997
Garrett Birkhoff (1911–1996) and the survey of modern algebra. Zbl 0908.01019
Mac Lane, Saunders
1997
Structure in mathematics. Zbl 0905.18001
Mac Lane, Saunders
1996
Topos theory. Zbl 0858.18001
MacLane, S.; Moerdijk, I.
1996
Homology. Reprint of the 3rd corr. print. 1975. Zbl 0818.18001
Mac Lane, Saunders
1995
Mathematics at Göttingen under the Nazis. Zbl 1042.01536
Mac Lane, Saunders
1995
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, 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
1994
Sheaves in geometry and logic: a first introduction to topos theory. Zbl 0822.18001
Mac Lane, Saunders; Moerdijk, Ieke
1992
Is Mathias an ontologist? Zbl 0786.03001
Mac Lane, Saunders
1992
Coherence theorems and conformal field theory. Zbl 0789.18006
Mac Lane, Saunders
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 0925.00031
Mac Lane, Saunders
1991
The collected works of J. Richard Büchi. Edited by Saunders Mac Lane and Dirk Siefkes. Zbl 0725.68006
Büchi, J. Richard
1990
Mathematics at the University of Chicago. A brief history. Zbl 0667.01023
Mac Lane, Saunders
1989
Categories for the working mathematician. 4th corrected printing. Zbl 0705.18001
MacLane, Saunders
1988
Algebra. 3rd. ed. Zbl 0641.12001
MacLane, Saunders; Birkhoff, Garrett
1988
Decker’s sharper Künneth formula. Zbl 0655.18010
Mac Lane, Saunders
1988
Group extensions for 45 years. Zbl 0657.01011
Mac Lane, Saunders
1988
Mathematics: Form and function. Zbl 0675.00001
Mac Lane, Saunders
1986
Eilenberg-MacLane: Collected works. Zbl 0613.01018
Eilenberg, Samuel; MacLane, Saunders
1986
Criteria for excellence in mathematics. Zbl 0628.01019
MacLane, Saunders
1986
Mathematics, form and function. Zbl 0666.00019
Mac Lane, Saunders
1986
Mathematical logic is neither foundation nor philosophy. Zbl 1156.03308
MacLane, Saunders
1986
Topology becomes algebraic with Vietoris and Noether. Zbl 0577.01030
Mac Lane, Saunders
1986
Coherence for bicategories and indexed categories. Zbl 0567.18003
MacLane, Saunders; Paré, Robert
1985
Julia Bowman Robinson 1919-1985. Zbl 0571.01026
Henkin, 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.
1985
Applications of categorical algebra. Zbl 0588.18009
MacLane, S.
1985
Spectral complications in cohomology computations. Zbl 0553.20031
MacLane, Saunders
1984
The health of mathematics. Zbl 1366.00035
Mac Lane, Saunders
1983
Why commutative diagrams coincide with equivalent proofs. Zbl 0504.18004
Mac Lane, Saunders
1982
Mathematical models: A sketch for the philosophy of mathematics. Zbl 0468.00019
MacLane, Saunders
1981
Emmy Noether. A tribute to her life and work. Zbl 0543.01009
1981
An interpretation of the cohomology groups $$H^ n(G,M)$$. Zbl 0699.20040
Holt, D. F.
1979
Origins of the cohomology of groups. Zbl 0379.18012
Mac Lane, Saunders
1978
The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013
1978
A survey of modern algebra. 4th ed. Zbl 0365.00006
Birkhoff, Garrett; MacLane, Saunders
1977
Topology and logic as a source of algebra. Zbl 0324.55001
Mac Lane, Saunders
1976
The work of Samuel Eilenberg in topology. Zbl 0338.55001
Mac Lane, Saunders
1976
Homology. 3rd corr. print. Zbl 0328.18009
Mac Lane, Saunders
1975
Sets, topoi, and internal logic in categories. Zbl 0313.18001
Maclane, Saunders
1975
Coherence in categories. Zbl 0234.00006
1972
Kategorien. Begriffssprache und mathematische Theorie. Aus dem Englischen übersetzt von Klaus Schürger. Zbl 0243.18001
Mac Lane, Saunders
1972
Closed coherence for a natural transformation. Zbl 0245.18003
Kelly, G. M.; Mac Lane, Saunders
1972
Categories for the working mathematician. Zbl 0232.18001
Mac Lane, Saunders
1971
Coherence in closed categories. Zbl 0212.35001
Kelly, G. M.; MacLane, S.
1971
Erratum: Coherence in closed categories. Zbl 0215.09703
Kelly, G. M.; Mac Lane, S.
1971
Categorical algebra and set-theoretic foundations. Zbl 0219.02044
MacLane, S.
1971
Reports of the Midwest category seminar. V. Zbl 0222.18001
1971
Algèbre. Tome II: Les grands théorèmes. Zbl 0213.28901
MacLane, S.; Birkhoff, G.
1971
Reports of the Midwest category seminar. IV. Zbl 0198.00201
1970
Algèbre. Tome I: Structures fondamentales. Zbl 0201.01801
MacLane, S.; Birkhoff, G.
1970
Hamiltonian mechanics and geometry. Zbl 0212.56703
Mac Lane, S.
1970
A combinatorial condition for planar graphs. Zbl 0213.50601
MacLane, S.
1970
The Milgram bar construction as a tensor product of functors. Zbl 0216.45405
Mac Lane, S.
1970
The influence of M. H. Stone on the origins of category theory. Zbl 0261.18001
MacLane, Saunders
1970
Foundations for categories and sets. Zbl 0218.18003
MacLane, Saunders
1969
On universe as a foundation for category theory. Zbl 0211.32202
Mac Lane, S.
1969
Reports of the Midwest category seminar. III. Zbl 0184.03504
1969
Possible programs for categorists. Zbl 0215.38901
MacLane, Saunders
1969
Reports of the Midwest Category Seminar. II. Zbl 0165.00201
1968
Algebra. First printing. Zbl 0153.32401
MacLane, S.; Birkhoff, G.
1967
Reports of the Midwest Category Seminar. Zbl 0165.33001
Bénabou, Jean; Davis, Robert; Dold, A.; Isbell, John R.; MacLane, S.; Oberst, U.; Roos, Jan-Erik
1967
Projective classes and acyclic models. Zbl 1375.18006
Dold, A.; Mac Lane, S.; Oberst, U.
1967
Homology. Zbl 0149.26203
MacLane, S.
1966
Proceedings of the Conference on Categorical Algebra. La Jolla 1965. Zbl 0178.29005
1966
Categorical algebra. Zbl 0161.01601
MacLane, S.
1965
Homology. Zbl 0133.26502
Mac Lane, Saunders
1963
Natural associativity and commutativity. Zbl 0244.18008
MacLane, Saunders
1963
Some recent advances in algebra. Zbl 0199.04802
MacLane, S.
1963
An algebra of additive relations. Zbl 0123.01102
MacLane, Saunders
1961
Locally small categories and the foundations of set theory. Zbl 0116.00902
MacLane, S.
1961
The cohomology theory of a pair of groups. Zbl 0099.25204
Haimo, F.; MacLane, S.
1961
Triple torsion products and multiple Künneth formulas. Zbl 0093.02101
Maclane, Saunders
1960
Group extensions by primary abelian groups. Zbl 0091.02203
MacLane, Saunders
1960
Metric postulates for plane geometry. Zbl 0087.35102
MacLane, Saunders
1959
Extensions and obstructions for rings. Zbl 0081.03303
MacLane, Saunders
1958
A proof of the subgroup theorem for free products. Zbl 0085.01403
MacLane, Saunders
1958
Homologie des anneaux et des modules. Zbl 0084.26703
MacLane, Saunders
1957
On the homology theory of Abelian groups. Zbl 0064.02701
Eilenberg, Samuel; MacLane, Saunders
1955
On the groups $$H(\Pi,n)$$. II. Zbl 0055.41704
Eilenberg, Samuel; MacLane, Saunders
1954
The homology products in $$K(\Pi,n)$$. Zbl 0059.16405
MacLane, Saunders
1954
On the groups $$H(\varPi,n)$$. III. Operations and obstructions. Zbl 0057.15302
Eilenberg, Samuel; MacLane, Saunders
1954
On the groups $$H(\Pi,n)$$. I. Zbl 0050.39304
Eilenberg, Samuel; MacLane, Saunders
1953
A survey of modern algebra. Revised ed. Zbl 0052.25402
Birkhoff, Garrett; MacLane, Saunders
1953
Acyclic models. Zbl 0050.17205
Eilenberg, Samuel; MacLane, Saunders
1953
Cohomology groups of Abelian groups and homotopy theory. IV. Zbl 0046.16701
Eilenberg, Samuel; MacLane, Saunders
1952
Cohomology theory of Abelian groups. Zbl 0049.01401
MacLane, Saunders
1952
Homology theories for multiplicative systems. Zbl 0043.25403
Eilenberg, Samuel; MacLane, Saunders
1951
Cohomology theory of abelian groups and homotopy theory. III. Zbl 0042.41406
Eilenberg, Samuel; MacLane, Saunders
1951
On the 3-type of a complex. Zbl 0035.39001
MacLane, Saunders; Whitehead, J. H. C.
1950
Duality for groups. Zbl 0045.29905
MacLane, Saunders
1950
Relations between homology and homotopy groups of spaces. II. Zbl 0036.12602
Eilenberg, Samuel; MacLane, Saunders
1950
Cohomology theory of abelian groups and homotopy theory. I. Zbl 0037.39504
Eilenberg, Samuel; McLane, Saunders
1950
Cohomology theory of abelian groups and homotopy theory. II. Zbl 0039.19002
Eilenberg, Samuel; MacLane, Saunders
1950
Duality for groups. Zbl 0041.36306
MacLane, Saunders
1950
Cohomology theory in abstract groups. III. Operator homomorphisms of kernels. Zbl 0039.25703
MacLane, Saunders
1949
...and 68 more Documents
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### 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
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### 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
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### 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)

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