Edit Profile (opens in new tab) Gilmer, Robert W. jun. Co-Author Distance Author ID: gilmer.robert-w-jun Published as: Gilmer, Robert; Gilmer, R.; Gilmer, R. W. jun.; Gilmer, R. W.; Gilmer, Robert W. jun.; Gilmer, Robert W. more...less External Links: MGP Documents Indexed: 190 Publications since 1962, including 4 Books 1 Further Contribution Biographic References: 2 Publications Co-Authors: 30 Co-Authors with 99 Joint Publications 255 Co-Co-Authors all top 5 Co-Authors 92 single-authored 43 Heinzer, William J. 8 Arnold, Jimmy T. 7 Mott, Joe Leonard 5 Smith, William W. 4 Grams, Anne 4 O’Malley, Matthew J. 4 Parker, Tom 3 Huckaba, James A. 3 Nashier, Budh Singh 3 Nichols, Warren D. 2 Brewer, James W. 2 Heitmann, Raymond C. 2 Hoffman, Joseph F. 2 Lantz, David C. 2 Ohm, Jack 2 Spiegel, Eugene 2 Teply, Mark L. 1 Aleksandrov, Pavel Sergeevich 1 Bastida, Eduardo R. 1 Brawley, Joel Vincent jun. 1 Butts, Hubert S. 1 Fray, Robert D. 1 Fu, Guang 1 Hoffmann, Joseph F. 1 Husch, Laurence S. 1 Kimberling, Clark H. 1 Lam, Tsit-Yuen 1 Lea, Robert N. 1 Mac Lane, Leslie Saunders 1 Martin, Mary B. 1 McAdam, Stephen J. 1 McShane, Edward James 1 Roitman, Moshe 1 Saltman, David J. 1 Smith, Martha K. 1 Swan, Richard Gordon 1 Taussky-Todd, Olga 1 Van der Waerden, Bartel Leendert 1 Wesselink, Brian 1 Zafrullah, Muhammad all top 5 Serials 19 Proceedings of the American Mathematical Society 13 Journal of Algebra 9 Pacific Journal of Mathematics 8 Communications in Algebra 8 Transactions of the American Mathematical Society 7 American Mathematical Monthly 7 Archiv der Mathematik 7 Duke Mathematical Journal 7 Journal of Pure and Applied Algebra 7 Michigan Mathematical Journal 6 Houston Journal of Mathematics 6 Mathematische Annalen 4 Canadian Journal of Mathematics 4 Mathematica Scandinavica 3 Canadian Mathematical Bulletin 3 Bulletin of the American Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Acta Scientiarum Mathematicarum 2 American Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 L’Enseignement Mathématique. 2e Série 2 Pure and Applied Mathematics, Marcel Dekker 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Bulletin of the Calcutta Mathematical Society 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Journal of Number Theory 1 Mathematica Japonica 1 Mathematische Nachrichten 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae Debrecen 1 Semigroup Forum 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Aequationes Mathematicae 1 Journal of the Australian Mathematical Society. Series A 1 Journal of the Australian Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Proceedings of the Japan Academy 1 Scripta Mathematica 1 Journal of Science of the Hiroshima University. Series A-I 1 Queen’s Papers in Pure and Applied Mathematics all top 5 Fields 127 Commutative algebra (13-XX) 20 Group theory and generalizations (20-XX) 15 Associative rings and algebras (16-XX) 13 Field theory and polynomials (12-XX) 9 Number theory (11-XX) 4 Algebraic geometry (14-XX) 2 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 167 Publications have been cited 3,019 times in 1,935 Documents Cited by ▼ Year ▼ Multiplicative ideal theory. Zbl 0248.13001 Gilmer, Robert 915 1972 Commutative semigroup rings. Zbl 0566.20050 Gilmer, Robert 260 1984 Multiplicative ideal theory. Rev. ed. Zbl 0804.13001 Gilmer, Robert 170 1992 Overrings and divisorial ideals of rings of the form \(D+M\). Zbl 0239.13001 Bastida, Eduardo; Gilmer, Robert 112 1973 On \(\text{Pic}(R[X])\) for \(R\) seminormal. Zbl 0428.13003 Gilmer, Robert; Heitmann, Raymond C. 55 1980 Divisibility properties in semigroup rings. Zbl 0285.13007 Gilmer, Robert; Parker, Tom 54 1974 Overrings of Prüfer domains. II. Zbl 0156.04304 Gilmer, R. W. jun.; Heinzer, W. J. 52 1967 Overrings of Prüfer domains. Zbl 0146.26205 Gilmer, R. W. jun. 51 1966 Multiplicative ideal theory. Parts I, II. Zbl 0155.36402 Gilmer, Robert W. 51 1968 Some finiteness conditions on the set of overrings of an integral domain. Zbl 1017.13009 Gilmer, Robert 46 2003 Intersections of quotient rings of an integral domain. Zbl 0166.30601 Gilmer, R.; Heinzer, W. J. 45 1967 A characterization of Prüfer domains in terms of polynomials. Zbl 0307.13011 Gilmer, Robert; Hoffman, Joseph F. 43 1975 Integral domains with quotient overrings. Zbl 0128.26004 Gilmer, Robert; Ohm, Jack 38 1964 The Laskerian property, power series rings and Noetherian spectra. Zbl 0447.13009 Gilmer, Robert; Heinzer, William 32 1980 Semigroup rings as Prüfer rings. Zbl 0289.13011 Gilmer, Robert; Parker, Tom 26 1974 Finite rings having a cyclic multiplicative group of units. Zbl 0113.26501 Gilmer, R. W. jun. 25 1963 \(\Delta\)-rings. Zbl 0278.13003 Gilmer, Robert; Huckaba, James A. 25 1974 Products of commutative rings and zero-dimensionality. Zbl 0760.13005 Gilmer, Robert; Heinzer, William 25 1992 Zero divisors in power series rings. Zbl 0309.13009 Gilmer, Robert; Grams, Anne; Parker, Tom 24 1975 Primary ideals and valuation ideals. Zbl 0133.29203 Gilmer, R.; Ohm, J. 21 1965 Multiplication rings as rings in which ideals with prime radical are primary. Zbl 0136.02402 Gilmer, Robert W. jun.; Mott, Joe Leonard 21 1965 Integral domains which are almost Dedekind. Zbl 0142.00703 Gilmer, R. W. jun. 21 1964 Ideals contracted from a Noetherian extension ring. Zbl 0495.13002 Gilmer, Robert; Heinzer, William 20 1982 Two constructions of Prüfer domains. Zbl 0184.29102 Gilmer, R. 20 1969 On the number of generators of an invertible ideal. Zbl 0186.35201 Gilmer, R.; Heinzer, W. 20 1970 The dimension sequence of a commutative ring. Zbl 0302.13013 Arnold, Jimmy T.; Gilmer, Robert 19 1974 Finitely generated ideals of the ring of integer-valued polynomials. Zbl 0515.13016 Gilmer, Robert; Smith, William W. 18 1983 Prüfer domains and rings of integer-valued polynomials. Zbl 0689.13009 Gilmer, Robert 18 1990 On the complete integral closure of an integral domain. Zbl 0147.01502 Gilmer, R. W. jun.; Heinzer, W. J. 18 1966 The pseudo-radical of a commutative ring. Zbl 0147.01501 Gilmer, R. W. jun. 17 1966 A note on the quotient field of the domain \(D[[X]]\). Zbl 0158.29104 Gilmer, R. 17 1967 Power series rings over a Krull domain. Zbl 0179.34502 Gilmer, R. 17 1969 Sets that determine integer-valued polynomials. Zbl 0695.13015 Gilmer, Robert 17 1989 Primary ideals with finitely generated radical in a commutative ring. Zbl 0794.13002 Gilmer, Robert; Heinzer, William 16 1993 A two-dimensional non-Noetherian factorial ring. Zbl 0284.13019 Gilmer, Robert 15 1974 Nilpotent elements of commutative semigroup rings. Zbl 0301.20064 Parker, Tom; Gilmer, Robert 15 1975 An embedding theorem for HCF-rings. Zbl 0206.32901 Gilmer, R. 14 1970 Rings in which semi-primary ideals are primary. Zbl 0118.27201 Gilmer, R. W. 13 1962 Irredundant intersections of valuation rings. Zbl 0157.08502 Gilmer, Robert; Heinzer, William 13 1968 A note on semigroup rings. Zbl 0169.05403 Gilmer, Robert 13 1969 Integral dependence in power series rings. Zbl 0185.09803 Gilmer, R. 13 1969 Finitely generated intermediate rings. Zbl 0564.13009 Gilmer, Robert; Heinzer, William 12 1985 Primary ideals and prime power ideals. Zbl 0144.02703 Butts, H. S.; Gilmer, R. W. jun. 12 1966 Integral domains with Noetherian subrings. Zbl 0185.09802 Gilmer, R. 12 1970 Jónsson \(\omega_0\)-generated algebraic field extensions. Zbl 0588.12014 Gilmer, Robert; Heinzer, William 12 1987 On Jónsson algebras over a commutative ring. Zbl 0657.13003 Gilmer, Robert; Heinzer, William 11 1987 R-automorphisms of R(X). Zbl 0177.30001 Gilmer, R. W. jun. 11 1968 On the contents of polynomials. Zbl 0193.35101 Arnold, J. T.; Gilmer, R. 11 1970 Associative rings of order \(p^3\). Zbl 0309.16015 Gilmer, Robert; Mott, Joe 11 1973 Idempotent ideals and unions of nets of Prüfer domains. Zbl 0268.13001 Arnold, Jimmy T.; Gilmer, Robert 10 1967 The Noetherian property for quotient rings of infinite polynomial rings. Zbl 0388.13007 Gilmer, Robert; Heinzer, William 10 1979 Imbeddability of a commutative ring in a finite-dimensional ring. Zbl 0857.13012 Gilmer, Robert; Heinzer, William 10 1994 Integral domains whose overrings are ideal transforms. Zbl 0203.34602 Brewer, J. W.; Gilmer, Robert 10 1971 Artinian subrings of a commutative ring. Zbl 0778.13012 Gilmer, Robert; Heinzer, William 9 1993 Cardinality of generating sets for modules over a commutative ring. Zbl 0512.13010 Gilmer, Robert; Heinzer, William 9 1983 On Jónsson modules over a commutative ring. Zbl 0537.13007 Gilmer, Robert; Heinzer, William 9 1983 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 9 1981 The cancellation law for ideals in a commutative ring. Zbl 0142.00704 Gilmer, R. W. jun. 9 1965 Domains in which valuation ideals are prime powers. Zbl 0142.28403 Gilmer, R. W. jun. 9 1966 Some applications of the Hilfssatz von Dedekind-Mertens. Zbl 0167.03602 Gilmer, R. W. jun. 9 1967 \(R\)-automorphisms of \(R[[X]]\). Zbl 0179.34501 Gilmer, R. 9 1970 On the divisors of monic polynomials over a commutative ring. Zbl 0365.13007 Gilmer, Robert; Heinzer, William 9 1978 An application of Jónsson modules to some questions concerning proper subrings. Zbl 0782.13005 Gilmer, Robert; Heinzer, William 8 1992 Finite generation of powers of ideals. Zbl 0923.13012 Gilmer, Robert; Heinzer, William; Roitman, Moshe 8 1999 Extension of results concerning rings in which semi-primary ideals are primary. Zbl 0122.29002 Gilmer, R. W. jun. 8 1964 A class of domains in which primary ideals are valuation ideals. Zbl 0135.08001 Gilmer, R. W. 8 1965 On the existence of exceptional field extensions. Zbl 0168.29202 Gilmer, R.; Heinzer, W. 8 1968 Commutative rings in which each prime ideal is principal. Zbl 0169.05402 Gilmer, Robert 8 1969 The ring of integer-valued polynomials of a Dedekind domain. Zbl 0694.13009 Gilmer, Robert; Heinzer, William; Lantz, David; Smith, William 8 1990 Zero-dimensionality in commutative rings. Zbl 0787.13008 Gilmer, Robert; Heinzer, William 8 1992 The family of residue fields of a zero-dimensional commutative ring. Zbl 0782.13014 Gilmer, Robert; Heinzer, William 8 1992 Noetherian pairs and hereditarily Noetherian rings. Zbl 0503.13006 Gilmer, Robert 7 1983 On the distribution of prime ideals within the ideal class group. Zbl 0858.13004 Gilmer, R.; Heinzer, W.; Smith, W. W. 7 1996 Eleven nonequivalent conditions on a commutative ring. Zbl 0144.02701 Gilmer, R. W. jun. 7 1966 On Prüfer rings. Zbl 0228.13005 Gilmer, Robert 7 1972 On commutative rings of finite rank. Zbl 0237.13008 Gilmer, Robert 7 1972 Zero divisors in commutative rings. Zbl 0603.13002 Gilmer, Robert 7 1986 Ideals contracted from each extension ring. Zbl 0401.13002 Gilmer, Robert; McAdam, Stephen 7 1979 The Noetherian property in rings of integer-valued polynomials. Zbl 0780.13009 Gilmer, Robert; Heinzer, William; Lantz, David 7 1993 \(t\)-invertibility and comparability. Zbl 0813.13001 Gilmer, Robert; Mott, Joe; Zafrullah, Muhammad 7 1993 An existence theorem for non-Noetherian rings. Zbl 0194.34701 Gilmer, R. 7 1970 Extension of an order to a simple transcendental extension. Zbl 0483.12006 Gilmer, Robert 6 1982 Zero-dimensional subrings of commutative rings. Zbl 0859.13005 Gilmer, Robert 6 1995 The transform formula for ideals. Zbl 0232.13002 Gilmer, Robert; Huckaba, James A. 6 1972 The \(n\)-generator property for commutative rings. Zbl 0235.13007 Gilmer, Robert 6 1973 The equality \((A \cap B)^n=A^n \cap B^n \) for ideals. Zbl 0238.13020 Gilmer, Robert; Grams, Anne 6 1972 \(R\)-endomorphisms of \(R[[X_1,\dots ,X_n]]\). Zbl 0368.13019 Gilmer, Robert; O’Malley, Matthew J. 6 1977 Idempotents of commutative semigroup rings. Zbl 0377.20052 Gilmer, Robert; Teply, Mark L. 6 1977 The quotient field of an intersection of integral domains. Zbl 0465.13004 Gilmer, Robert; Heinzer, William 6 1981 Some countability conditions on commutative ring extensions. Zbl 0465.13008 Gilmer, Robert; Heinzer, William 6 1981 Some results on contracted ideals. Zbl 0204.05701 Gilmer, R.; Mott, J. 6 1970 Some questions for further research. Zbl 1122.13300 Gilmer, Robert 5 2006 If \(R[X]\) is Noetherian, \(R\) contains an identity. Zbl 0145.04603 Gilmer, R. W. jun. 5 1967 On proper of integral domains. Zbl 0156.27302 Mott, J. L.; Gilmer, R. W. jun. 5 1968 Contracted ideals with respect to integral extensions. Zbl 0171.00202 Gilmer, R. W. jun. 5 1967 Rings of formal power series over a Krull domain. Zbl 0175.03802 Gilmer, R.; Heinzer, W. 5 1968 A note on generating sets for invertible ideals. Zbl 0176.00101 Gilmer, Robert 5 1969 A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. Zbl 0356.13006 Gilmer, Robert; Heinzer, William 5 1976 On the Picard group of a class of non-seminormal domains. Zbl 0797.13012 Gilmer, Robert; Martin, Mary B. 5 1990 Background and preliminaries on zero-dimensional rings. Zbl 0882.13011 Gilmer, Robert 5 1995 Some questions for further research. Zbl 1122.13300 Gilmer, Robert 5 2006 Forty years of commutative ring theory. Zbl 1060.13002 Gilmer, Robert 1 2004 Some finiteness conditions on the set of overrings of an integral domain. Zbl 1017.13009 Gilmer, Robert 46 2003 A new criterion for embeddability in a zero-dimensional commutative ring. Zbl 1095.13505 Gilmer, Robert 1 2001 Commutative rings of dimension 0. Zbl 1055.13011 Gilmer, Robert 1 2000 Finite generation of powers of ideals. Zbl 0923.13012 Gilmer, Robert; Heinzer, William; Roitman, Moshe 8 1999 On the polynomial equivalence of subsets \(E\) and \(f(E)\) of \(\mathbb{Z}\). Zbl 0955.13009 Gilmer, Robert; Smith, William W. 2 1999 The ideal of polynomials vanishing on a commutative ring. Zbl 0924.13010 Gilmer, Robert 2 1999 Primary decomposition of ideals in polynomial rings. Zbl 0972.13001 Fu, Guang; Gilmer, Robert 1 1999 On the embedding of a commutative ring in a local ring. Zbl 0915.13006 Gilmer, Robert; Heinzer, William 1 1999 Prime ideals of finite height in polynomial rings. Zbl 0964.13012 Gilmer, Robert; Heinzer, William 1 1998 An intersection condition for prime ideals. Zbl 0897.13006 Gilmer, Robert 3 1997 On the distribution of prime ideals within the ideal class group. Zbl 0858.13004 Gilmer, R.; Heinzer, W.; Smith, W. W. 7 1996 Zero-dimensional subrings of commutative rings. Zbl 0859.13005 Gilmer, Robert 6 1995 Background and preliminaries on zero-dimensional rings. Zbl 0882.13011 Gilmer, Robert 5 1995 Zero-dimensional extension rings and subrings. Zbl 0882.13012 Gilmer, Robert 3 1995 Zero-dimensionality and products of commutative rings. Zbl 0883.13011 Gilmer, Robert 2 1995 Infinite products of zero-dimensional commutative rings. Zbl 0869.13004 Gilmer, Robert; Heinzer, William 1 1995 Residue fields of zero-dimensional rings. – Appendix (by Roger Wiegand): Big transcendence degree. Zbl 0882.13013 Gilmer, Robert 1 1995 Imbeddability of a commutative ring in a finite-dimensional ring. Zbl 0857.13012 Gilmer, Robert; Heinzer, William 10 1994 Primary ideals with finitely generated radical in a commutative ring. Zbl 0794.13002 Gilmer, Robert; Heinzer, William 16 1993 Artinian subrings of a commutative ring. Zbl 0778.13012 Gilmer, Robert; Heinzer, William 9 1993 The Noetherian property in rings of integer-valued polynomials. Zbl 0780.13009 Gilmer, Robert; Heinzer, William; Lantz, David 7 1993 \(t\)-invertibility and comparability. Zbl 0813.13001 Gilmer, Robert; Mott, Joe; Zafrullah, Muhammad 7 1993 Commutative rings with periodic multiplicative semigroup. Zbl 0798.13005 Gilmer, Robert 2 1993 Multiplicative ideal theory. Rev. ed. Zbl 0804.13001 Gilmer, Robert 170 1992 Products of commutative rings and zero-dimensionality. Zbl 0760.13005 Gilmer, Robert; Heinzer, William 25 1992 An application of Jónsson modules to some questions concerning proper subrings. Zbl 0782.13005 Gilmer, Robert; Heinzer, William 8 1992 Zero-dimensionality in commutative rings. Zbl 0787.13008 Gilmer, Robert; Heinzer, William 8 1992 The family of residue fields of a zero-dimensional commutative ring. Zbl 0782.13014 Gilmer, Robert; Heinzer, William 8 1992 An application of Jónsson modules to some questions concerning proper subrings. Zbl 0738.13006 Gilmer, Robert; Heinzer, William 1 1992 Prüfer domains and rings of integer-valued polynomials. Zbl 0689.13009 Gilmer, Robert 18 1990 The ring of integer-valued polynomials of a Dedekind domain. Zbl 0694.13009 Gilmer, Robert; Heinzer, William; Lantz, David; Smith, William 8 1990 On the Picard group of a class of non-seminormal domains. Zbl 0797.13012 Gilmer, Robert; Martin, Mary B. 5 1990 Sets that determine integer-valued polynomials. Zbl 0695.13015 Gilmer, Robert 17 1989 On the imbedding of a direct product into a zero-dimensional commutative ring. Zbl 0709.13003 Gilmer, Robert; Heinzer, William 4 1989 The prime spectra of subalgebras of affine algebras and their localizations. Zbl 0669.14001 Gilmer, Robert; Nashier, Budh; Nichols, Warren 3 1989 Fields that admit a nonlinear permutation polynomial. Zbl 0672.12007 Brawley, J. V.; Gilmer, Robert 1 1989 Jónsson \(\omega_0\)-generated algebraic field extensions. Zbl 0588.12014 Gilmer, Robert; Heinzer, William 12 1987 On Jónsson algebras over a commutative ring. Zbl 0657.13003 Gilmer, Robert; Heinzer, William 11 1987 Generators of ideals containing monics. Zbl 0607.13014 Gilmer, Robert; Nashier, Budh; Nichols, Warren 3 1987 Zero divisors in commutative rings. Zbl 0603.13002 Gilmer, Robert 7 1986 On the cardinality of subrings of a commutative ring. Zbl 0593.13003 Gilmer, Robert; Heinzer, William 4 1986 Chain conditions in commutative semigroup rings. Zbl 0602.20059 Gilmer, Robert 2 1986 Finitely generated intermediate rings. Zbl 0564.13009 Gilmer, Robert; Heinzer, William 12 1985 Integer-valued polynomials and the strong two-generator property. Zbl 0562.13014 Gilmer, Robert; Smith, William W. 4 1985 Commutative monoid rings as Hilbert rings. Zbl 0546.13009 Gilmer, Robert 2 1985 Hilbert subalgebras generated by monomials. Zbl 0564.13004 Gilmer, Robert 2 1985 Coefficient rings in isomorphic semigroup rings. Zbl 0568.20061 Gilmer, Robert; Spiegel, Eugene 1 1985 Commutative semigroup rings. Zbl 0566.20050 Gilmer, Robert 260 1984 Finitely generated ideals of the ring of integer-valued polynomials. Zbl 0515.13016 Gilmer, Robert; Smith, William W. 18 1983 Cardinality of generating sets for modules over a commutative ring. Zbl 0512.13010 Gilmer, Robert; Heinzer, William 9 1983 On Jónsson modules over a commutative ring. Zbl 0537.13007 Gilmer, Robert; Heinzer, William 9 1983 Noetherian pairs and hereditarily Noetherian rings. Zbl 0503.13006 Gilmer, Robert 7 1983 Principal ideal rings and a condition of Kummer. Zbl 0515.13015 Gilmer, Robert; Heinzer, William 1 1983 The coefficient field of a semigroup algebra. Zbl 0517.20045 Gilmer, Robert; Spiegel, Eugene 1 1983 Ideals contracted from a Noetherian extension ring. Zbl 0495.13002 Gilmer, Robert; Heinzer, William 20 1982 Extension of an order to a simple transcendental extension. Zbl 0483.12006 Gilmer, Robert 6 1982 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 9 1981 The quotient field of an intersection of integral domains. Zbl 0465.13004 Gilmer, Robert; Heinzer, William 6 1981 Some countability conditions on commutative ring extensions. Zbl 0465.13008 Gilmer, Robert; Heinzer, William 6 1981 On R-homomorphisms of power series rings. Zbl 0476.13016 Gilmer, Robert; O’Malley, Matthew 4 1981 On the ideal class group of a flat overring. Zbl 0442.13001 Gilmer, Robert 1 1981 On \(\text{Pic}(R[X])\) for \(R\) seminormal. Zbl 0428.13003 Gilmer, Robert; Heitmann, Raymond C. 55 1980 The Laskerian property, power series rings and Noetherian spectra. Zbl 0447.13009 Gilmer, Robert; Heinzer, William 32 1980 The group of units of a commutative semigroup ring. Zbl 0394.20054 Gilmer, Robert; Heitmann, Raymond C. 2 1980 The Noetherian property for quotient rings of infinite polynomial rings. Zbl 0388.13007 Gilmer, Robert; Heinzer, William 10 1979 Ideals contracted from each extension ring. Zbl 0401.13002 Gilmer, Robert; McAdam, Stephen 7 1979 On the divisors of monic polynomials over a commutative ring. Zbl 0365.13007 Gilmer, Robert; Heinzer, William 9 1978 \(R\)-endomorphisms of \(R[[X_1,\dots ,X_n]]\). Zbl 0368.13019 Gilmer, Robert; O’Malley, Matthew J. 6 1977 Idempotents of commutative semigroup rings. Zbl 0377.20052 Gilmer, Robert; Teply, Mark L. 6 1977 Some countability conditions in a commutative ring. Zbl 0392.13009 Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William 5 1977 Cardinality of generating sets for ideals of a commutative ring. Zbl 0368.13001 Gilmer, Robert; Heinzer, William 3 1977 Modules that are finite sums of simple submodules. Zbl 0371.13008 Gilmer, Robert 1 1977 Units of semigroup rings. Zbl 0371.20055 Gilmer, Robert; Teply, Mark L. 1 1977 A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. Zbl 0356.13006 Gilmer, Robert; Heinzer, William 5 1976 The dimension theory of commutative semigroup rings. Zbl 0334.13005 Arnold, Jimmy T.; Gilmer, Robert 3 1976 Finite intersections of quotient rings of a Dedekind domain. Zbl 0316.13008 Gilmer, Robert; Grams, Anne 2 1976 A characterization of Prüfer domains in terms of polynomials. Zbl 0307.13011 Gilmer, Robert; Hoffman, Joseph F. 43 1975 Zero divisors in power series rings. Zbl 0309.13009 Gilmer, Robert; Grams, Anne; Parker, Tom 24 1975 Nilpotent elements of commutative semigroup rings. Zbl 0301.20064 Parker, Tom; Gilmer, Robert 15 1975 On polynomial and power series rings over a commutative ring. Zbl 0297.13017 Gilmer, Robert 4 1975 Dimension theory of commutative polynomial rings. Zbl 0299.13007 Gilmer, Robert 3 1975 The integral closure need not be a Prüfer domain. Zbl 0293.13008 Gilmer, Robert; Hoffmann, Joseph F. 1 1975 Polynomial rings over a commutative von Neumann regular ring. Zbl 0302.13012 Gilmer, Robert 1 1975 Divisibility properties in semigroup rings. Zbl 0285.13007 Gilmer, Robert; Parker, Tom 54 1974 Semigroup rings as Prüfer rings. Zbl 0289.13011 Gilmer, Robert; Parker, Tom 26 1974 \(\Delta\)-rings. Zbl 0278.13003 Gilmer, Robert; Huckaba, James A. 25 1974 The dimension sequence of a commutative ring. Zbl 0302.13013 Arnold, Jimmy T.; Gilmer, Robert 19 1974 A two-dimensional non-Noetherian factorial ring. Zbl 0284.13019 Gilmer, Robert 15 1974 Finite element factorization in group rings. Zbl 0275.13019 Gilmer, Robert 4 1974 Dimension theory of commutative rings without identity. Zbl 0296.13011 Arnold, Jimmy T.; Gilmer, Robert 3 1974 Maximal overrings of an integral domain not containing a given element. Zbl 0291.13008 Gilmer, Robert; Huckaba, James A. 1 1974 Overrings and divisorial ideals of rings of the form \(D+M\). Zbl 0239.13001 Bastida, Eduardo; Gilmer, Robert 112 1973 Associative rings of order \(p^3\). Zbl 0309.16015 Gilmer, Robert; Mott, Joe 11 1973 The \(n\)-generator property for commutative rings. Zbl 0235.13007 Gilmer, Robert 6 1973 Dimension sequences for commutative rings. Zbl 0256.13009 Arnold, Jimmy T.; Gilmer, Robert 3 1973 A note on rings with only finitely many subrings. Zbl 0256.16011 Gilmer, Robert 3 1973 Prüfer-like conditions on the set of overrings of an integral domain. Zbl 0248.13004 Gilmer, Robert 2 1973 On ideal-adic topologies for a commutative ring. Zbl 0251.13015 Gilmer, Robert 2 1973 ...and 67 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,005 Authors 99 Dobbs, David Earl 86 Chang, Gyu Whan 77 Anderson, Daniel D. 70 Gilmer, Robert W. jun. 66 Fontana, Marco 66 Zafrullah, Muhammad 63 Anderson, David Fenimore 63 Heinzer, William J. 41 Mimouni, Abdeslam 40 Park, Mi Hee 35 Houston, Evan G. jun. 34 Lucas, Thomas George 34 Spirito, Dario 31 Kim, Hwankoo 30 Jarboui, Noômen 27 Dumitrescu, Tiberiu 26 Kang, Byung Gyun 26 Olberding, Bruce M. 25 Ayache, Ahmed 25 Brewer, James W. 25 Kabbaj, Salah-Eddine 25 Mahdou, Najib 24 Loper, Kenneth Alan 24 Visweswaran, Subramanian 23 Picavet, Gabriel 22 El Baghdadi, Said 21 Cahen, Paul-Jean 20 Oman, Greg G. 19 Gabelli, Stefania 19 Rush, David E. 18 Lim, Jung Wook 18 Oh, Dong Yeol 17 Geroldinger, Alfred 17 Juett, Jason Robert 16 Chapman, Scott Thomas 16 Jespers, Eric 16 Picavet-L’Hermitte, Martine 16 Shapiro, Jay Allen 16 Toan, Phan Thanh 15 Finocchiaro, Carmelo Antonio 15 Gotti, Felix 15 Lantz, David C. 15 Mott, Joe Leonard 15 Sahandi, Parviz 15 Wang, Fanggui 14 Chabert, Jean-Luc 14 Coykendall, James 14 Huckaba, James A. 14 Roitman, Moshe 13 Benhissi, Ali 13 Hamed, Ahmed 13 Zanardo, Paolo 12 Bouchiba, Samir 12 Gaur, Atul 12 Halter-Koch, Franz 12 Kumar, Rahul 12 McGovern, Warren Wm. 12 Okniński, Jan 12 Smith, William W. 12 Tartarone, Francesca 12 Tekir, Unsal 11 Badawi, Ayman 11 Ben Nasr, Mabrouk 11 Costa, Douglas L. 11 Jayaram, Chillumuntala 11 Papick, Ira J. 11 Peruginelli, Giulio 11 Picozza, Giampaolo 10 Azarang, Alborz 10 Barucci, Valentina 10 Celikel, Ece Yetkin 10 Khalifa, Mohamed 10 Klingler, Lee C. 10 Močkoř, Jiří 10 Rosales, José Carlos 10 Shah, Tariq 9 Arnold, Jimmy T. 9 Jaballah, Ali 9 Karim, Driss 9 Koç, Suat 8 Facchini, Alberto 8 Frisch, Sophie 8 Marubayashi, Hidetoshi 8 Matsuda, Ryûki 8 Reinhart, Andreas 8 Tamoussit, Ali 8 Zeidi, Nabil 7 Ahmed, Malik Tusif 7 Ali, Majid M. 7 Chun, Sangmin 7 Giau, Le Thi Ngoc 7 Glaz, Sarah 7 Hamdi, Haleh 7 Izelgue, Lahoucine 7 Johnson, Eugene W. 7 Mooney, Christopher Park 7 Polo, Harold 7 Tuganbaev, Askar Akanovich 6 Chebolu, Sunil K. 6 de Andrade, Antonio Aparecido ...and 905 more Authors all top 5 Cited in 184 Serials 440 Communications in Algebra 243 Journal of Algebra 190 Journal of Pure and Applied Algebra 126 Journal of Algebra and its Applications 72 Proceedings of the American Mathematical Society 36 Archiv der Mathematik 34 Journal of Commutative Algebra 31 Transactions of the American Mathematical Society 28 Czechoslovak Mathematical Journal 26 Semigroup Forum 25 Rocky Mountain Journal of Mathematics 21 Manuscripta Mathematica 21 Rendiconti del Circolo Matemàtico di Palermo. 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Series II 6 Forum Mathematicum 6 Turkish Journal of Mathematics 6 Discrete Mathematics, Algorithms and Applications 6 Arabian Journal of Mathematics 5 Journal of Soviet Mathematics 5 Journal of Symbolic Computation 5 Algebra Colloquium 5 The New York Journal of Mathematics 5 Algebras and Representation Theory 4 Fuzzy Sets and Systems 4 Topology and its Applications 4 Bulletin of the Iranian Mathematical Society 4 Filomat 4 Vietnam Journal of Mathematics 4 Journal of the Australian Mathematical Society 4 JP Journal of Algebra, Number Theory and Applications 4 Algebra and Discrete Mathematics 4 Hacettepe Journal of Mathematics and Statistics 4 Open Mathematics 4 Bollettino dell’Unione Matematica Italiana 4 Actes des Rencontres du C.I.R.M. 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 3 Compositio Mathematica 3 Pacific Journal of Mathematics 3 Acta Mathematica Hungarica 3 Annals of Pure and Applied Logic 3 Expositiones Mathematicae 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society 3 Frontiers of Mathematics in China 3 São Paulo Journal of Mathematical Sciences 3 Journal of Mathematical Extension 3 Journal of Mathematics 3 Journal of Algebra and Related Topics 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Discrete Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Ukrainian Mathematical Journal 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Symbolic Logic 2 Mathematica Slovaca 2 Nagoya Mathematical Journal 2 Siberian Mathematical Journal 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Annales Mathématiques Blaise Pascal 2 Finite Fields and their Applications 2 Arab Journal of Mathematical Sciences 2 Mathematical Journal of Ibaraki University 2 Communications of the Korean Mathematical Society 2 Involve ...and 84 more Serials all top 5 Cited in 35 Fields 1,645 Commutative algebra (13-XX) 265 Associative rings and algebras (16-XX) 220 Group theory and generalizations (20-XX) 103 Algebraic geometry (14-XX) 86 Number theory (11-XX) 80 Order, lattices, ordered algebraic structures (06-XX) 72 Field theory and polynomials (12-XX) 36 Combinatorics (05-XX) 28 Mathematical logic and foundations (03-XX) 24 General topology (54-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 14 Computer science (68-XX) 12 Category theory; homological algebra (18-XX) 11 Systems theory; control (93-XX) 11 Information and communication theory, circuits (94-XX) 7 \(K\)-theory (19-XX) 6 Functions of a complex variable (30-XX) 4 Nonassociative rings and algebras (17-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Citations by Year