Edit Profile (opens in new tab) Gilmer, Robert W. jun. Compute Distance To: Compute 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. 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 251 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 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 1 all top 5 Fields 126 Commutative algebra (13-XX) 19 Group theory and generalizations (20-XX) 15 Associative rings and algebras (16-XX) 12 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 2,670 times in 1,706 Documents Cited by ▼ Year ▼ Multiplicative ideal theory. Zbl 0248.13001Gilmer, Robert 826 1972 Commutative semigroup rings. Zbl 0566.20050Gilmer, Robert 211 1984 Multiplicative ideal theory. Rev. ed. Zbl 0804.13001Gilmer, Robert 116 1992 Overrings and divisorial ideals of rings of the form \(D+M\). Zbl 0239.13001Bastida, Eduardo; Gilmer, Robert 99 1973 On \(\text{Pic}(R[X])\) for \(R\) seminormal. Zbl 0428.13003Gilmer, Robert; Heitmann, Raymond C. 52 1980 Overrings of Prüfer domains. II. Zbl 0156.04304Gilmer, R. W. jun.; Heinzer, W. J. 50 1967 Divisibility properties in semigroup rings. Zbl 0285.13007Gilmer, Robert; Parker, Tom 45 1974 Overrings of Prüfer domains. Zbl 0146.26205Gilmer, R. W. jun. 44 1966 Multiplicative ideal theory. Parts I, II. Zbl 0155.36402Gilmer, Robert W. 41 1968 Some finiteness conditions on the set of overrings of an integral domain. Zbl 1017.13009Gilmer, Robert 40 2003 Intersections of quotient rings of an integral domain. Zbl 0166.30601Gilmer, R.; Heinzer, W. J. 40 1967 A characterization of Prüfer domains in terms of polynomials. Zbl 0307.13011Gilmer, Robert; Hoffman, Joseph F. 38 1975 Integral domains with quotient overrings. Zbl 0128.26004Gilmer, Robert; Ohm, Jack 34 1964 The Laskerian property, power series rings and Noetherian spectra. Zbl 0447.13009Gilmer, Robert; Heinzer, William 23 1980 Semigroup rings as Prüfer rings. Zbl 0289.13011Gilmer, Robert; Parker, Tom 22 1974 Products of commutative rings and zero-dimensionality. Zbl 0760.13005Gilmer, Robert; Heinzer, William 22 1992 Zero divisors in power series rings. Zbl 0309.13009Gilmer, Robert; Grams, Anne; Parker, Tom 21 1975 Multiplication rings as rings in which ideals with prime radical are primary. Zbl 0136.02402Gilmer, Robert W. jun.; Mott, Joe Leonard 21 1965 Finite rings having a cyclic multiplicative group of units. Zbl 0113.26501Gilmer, R. W. jun. 21 1963 Primary ideals and valuation ideals. Zbl 0133.29203Gilmer, R.; Ohm, J. 21 1965 \(\Delta\)-rings. Zbl 0278.13003Gilmer, Robert; Huckaba, James A. 21 1974 On the number of generators of an invertible ideal. Zbl 0186.35201Gilmer, R.; Heinzer, W. 19 1970 The dimension sequence of a commutative ring. Zbl 0302.13013Arnold, Jimmy T.; Gilmer, Robert 18 1974 Integral domains which are almost Dedekind. Zbl 0142.00703Gilmer, R. W. jun. 18 1964 Two constructions of Prüfer domains. Zbl 0184.29102Gilmer, R. 18 1969 Ideals contracted from a Noetherian extension ring. Zbl 0495.13002Gilmer, Robert; Heinzer, William 18 1982 Finitely generated ideals of the ring of integer-valued polynomials. Zbl 0515.13016Gilmer, Robert; Smith, William W. 18 1983 Prüfer domains and rings of integer-valued polynomials. Zbl 0689.13009Gilmer, Robert 17 1990 Sets that determine integer-valued polynomials. Zbl 0695.13015Gilmer, Robert 17 1989 On the complete integral closure of an integral domain. Zbl 0147.01502Gilmer, R. W. jun.; Heinzer, W. J. 17 1966 The pseudo-radical of a commutative ring. Zbl 0147.01501Gilmer, R. W. jun. 16 1966 A note on the quotient field of the domain \(D[[X]]\). Zbl 0158.29104Gilmer, R. 16 1967 A two-dimensional non-Noetherian factorial ring. Zbl 0284.13019Gilmer, Robert 15 1974 Nilpotent elements of commutative semigroup rings. Zbl 0301.20064Parker, Tom; Gilmer, Robert 14 1975 Power series rings over a Krull domain. Zbl 0179.34502Gilmer, R. 14 1969 A note on semigroup rings. Zbl 0169.05403Gilmer, R. 13 1969 Primary ideals with finitely generated radical in a commutative ring. Zbl 0794.13002Gilmer, Robert; Heinzer, William 13 1993 Irredundant intersections of valuation rings. Zbl 0157.08502Gilmer, Robert; Heinzer, William 12 1968 Integral dependence in power series rings. Zbl 0185.09803Gilmer, R. 12 1969 An embedding theorem for HCF-rings. Zbl 0206.32901Gilmer, R. 12 1970 Rings in which semi-primary ideals are primary. Zbl 0118.27201Gilmer, R. W. 12 1962 Jónsson \(\omega _ 0\)-generated algebraic field extensions. Zbl 0588.12014Gilmer, Robert; Heinzer, William 12 1987 Associative rings of order \(p^3\). Zbl 0309.16015Gilmer, Robert; Mott, Joe 11 1973 Primary ideals and prime power ideals. Zbl 0144.02703Butts, H. S.; Gilmer, R. W. jun. 11 1966 R-automorphisms of R(X). Zbl 0177.30001Gilmer, R. W. jun. 11 1968 On Jónsson algebras over a commutative ring. Zbl 0657.13003Gilmer, Robert; Heinzer, William 11 1987 The Noetherian property for quotient rings of infinite polynomial rings. Zbl 0388.13007Gilmer, Robert; Heinzer, William 10 1979 On the contents of polynomials. Zbl 0193.35101Arnold, J. T.; Gilmer, R. 10 1970 Integral domains whose overrings are ideal transforms. Zbl 0203.34602Brewer, J. W.; Gilmer, R. 10 1971 Idempotent ideals and unions of nets of Prüfer domains. Zbl 0268.13001Arnold, Jimmy T.; Gilmer, Robert 10 1967 Finitely generated intermediate rings. Zbl 0564.13009Gilmer, Robert; Heinzer, William 10 1985 Imbeddability of a commutative ring in a finite-dimensional ring. Zbl 0857.13012Gilmer, Robert; Heinzer, William 10 1994 On the divisors of monic polynomials over a commutative ring. Zbl 0365.13007Gilmer, Robert; Heinzer, William 9 1978 The cancellation law for ideals in a commutative ring. Zbl 0142.00704Gilmer, R. W. jun. 9 1965 Some applications of the Hilfssatz von Dedekind-Mertens. Zbl 0167.03602Gilmer, R. W. jun. 9 1967 \(R\)-automorphisms of \(R[[X]]\). Zbl 0179.34501Gilmer, R. 9 1970 Integral domains with Noetherian subrings. Zbl 0185.09802Gilmer, R. 9 1970 Artinian subrings of a commutative ring. Zbl 0778.13012Gilmer, Robert; Heinzer, William 9 1993 Cardinality of generating sets for modules over a commutative ring. Zbl 0512.13010Gilmer, Robert; Heinzer, William 9 1983 A class of domains in which primary ideals are valuation ideals. Zbl 0135.08001Gilmer, R. W. 8 1965 Domains in which valuation ideals are prime powers. Zbl 0142.28403Gilmer, R. W. jun. 8 1966 Zero-dimensionality in commutative rings. Zbl 0787.13008Gilmer, Robert; Heinzer, William 8 1992 The family of residue fields of a zero-dimensional commutative ring. Zbl 0782.13014Gilmer, Robert; Heinzer, William 8 1992 On Jónsson modules over a commutative ring. Zbl 0537.13007Gilmer, Robert; Heinzer, William 8 1983 On the existence of exceptional field extensions. Zbl 0168.29202Gilmer, R.; Heinzer, W. 7 1968 On Prüfer rings. Zbl 0228.13005Gilmer, Robert 7 1972 Extension of results concerning rings in which semi-primary ideals are primary. Zbl 0122.29002Gilmer, R. W. jun. 7 1964 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 Zero divisors in commutative rings. Zbl 0603.13002Gilmer, Robert 7 1986 \(t\)-invertibility and comparability. Zbl 0813.13001Gilmer, Robert; Mott, Joe; Zafrullah, Muhammad 7 1993 Finite generation of powers of ideals. Zbl 0923.13012Gilmer, Robert; Heinzer, William; Roitman, Moshe 6 1999 Zero-dimensional subrings of commutative rings. Zbl 0859.13005Gilmer, Robert 6 1995 On the distribution of prime ideals within the ideal class group. Zbl 0858.13004Gilmer, R.; Heinzer, W.; Smith, W. W. 6 1996 The ring of integer-valued polynomials of a Dedekind domain. Zbl 0694.13009Gilmer, Robert; Heinzer, William; Lantz, David; Smith, William 6 1990 Ideals contracted from each extension ring. Zbl 0401.13002Gilmer, Robert; McAdam, Stephen 6 1979 Eleven nonequivalent conditions on a commutative ring. Zbl 0144.02701Gilmer, R. W. jun. 6 1966 Some results on contracted ideals. Zbl 0204.05701Gilmer, R.; Mott, J. 6 1970 The transform formula for ideals. Zbl 0232.13002Gilmer, Robert; Huckaba, James A. 6 1972 On commutative rings of finite rank. Zbl 0237.13008Gilmer, Robert 6 1972 The equality \((A \cap B)^n=A^n \cap B^n \) for ideals. Zbl 0238.13020Gilmer, Robert; Grams, Anne 6 1972 The quotient field of an intersection of integral domains. Zbl 0465.13004Gilmer, Robert; Heinzer, William 6 1981 Extension of an order to a simple transcendental extension. Zbl 0483.12006Gilmer, Robert 6 1982 Noetherian pairs and hereditarily Noetherian rings. Zbl 0503.13006Gilmer, Robert 6 1983 The Noetherian property in rings of integer-valued polynomials. Zbl 0780.13009Gilmer, Robert; Heinzer, William; Lantz, David 6 1993 An application of Jónsson modules to some questions concerning proper subrings. Zbl 0782.13005Gilmer, Robert; Heinzer, William 5 1992 Background and preliminaries on zero-dimensional rings. Zbl 0882.13011Gilmer, Robert 5 1995 \(R\)-endomorphisms of \(R[[X_1,\dots ,X_n]]\). Zbl 0368.13019Gilmer, Robert; O’Malley, Matthew J. 5 1977 If \(R[X]\) is Noetherian, \(R\) contains an identity. Zbl 0145.04603Gilmer, R. W. jun. 5 1967 Commutative rings in which each prime ideal is principal. Zbl 0169.05402Gilmer, R. 5 1969 Contracted ideals with respect to integral extensions. Zbl 0171.00202Gilmer, R. W. jun. 5 1967 Rings of formal power series over a Krull domain. Zbl 0175.03802Gilmer, R.; Heinzer, W. 5 1968 A note on generating sets for invertible ideals. Zbl 0176.00101Gilmer, Robert 5 1969 Contracted ideals in Krull domains. Zbl 0204.05702Gilmer, R. 5 1970 The \(n\)-generator property for commutative rings. Zbl 0235.13007Gilmer, Robert 5 1973 Some countability conditions on commutative ring extensions. Zbl 0465.13008Gilmer, Robert; Heinzer, William 5 1981 On the Picard group of a class of non-seminormal domains. Zbl 0797.13012Gilmer, Robert; Martin, Mary B. 4 1990 On polynomial and power series rings over a commutative ring. Zbl 0297.13017Gilmer, Robert 4 1975 A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. Zbl 0356.13006Gilmer, Robert; Heinzer, William 4 1976 Idempotents of commutative semigroup rings. Zbl 0377.20052Gilmer, Robert; Teply, Mark L. 4 1977 Some countability conditions in a commutative ring. Zbl 0392.13009Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William 4 1977 Some questions for further research. Zbl 1122.13300Gilmer, Robert 3 2006 Forty years of commutative ring theory. Zbl 1060.13002Gilmer, Robert 1 2004 Some finiteness conditions on the set of overrings of an integral domain. Zbl 1017.13009Gilmer, Robert 40 2003 A new criterion for embeddability in a zero-dimensional commutative ring. Zbl 1095.13505Gilmer, Robert 1 2001 Commutative rings of dimension 0. Zbl 1055.13011Gilmer, Robert 1 2000 Finite generation of powers of ideals. Zbl 0923.13012Gilmer, Robert; Heinzer, William; Roitman, Moshe 6 1999 The ideal of polynomials vanishing on a commutative ring. Zbl 0924.13010Gilmer, Robert 2 1999 On the polynomial equivalence of subsets \(E\) and \(f(E)\) of \(\mathbb{Z}\). Zbl 0955.13009Gilmer, Robert; Smith, William W. 2 1999 On the embedding of a commutative ring in a local ring. Zbl 0915.13006Gilmer, Robert; Heinzer, William 1 1999 Primary decomposition of ideals in polynomial rings. Zbl 0972.13001Fu, Guang; Gilmer, Robert 1 1999 Prime ideals of finite height in polynomial rings. Zbl 0964.13012Gilmer, Robert; Heinzer, William 1 1998 An intersection condition for prime ideals. Zbl 0897.13006Gilmer, Robert 3 1997 On the distribution of prime ideals within the ideal class group. Zbl 0858.13004Gilmer, R.; Heinzer, W.; Smith, W. W. 6 1996 Zero-dimensional subrings of commutative rings. Zbl 0859.13005Gilmer, Robert 6 1995 Background and preliminaries on zero-dimensional rings. Zbl 0882.13011Gilmer, Robert 5 1995 Zero-dimensionality and products of commutative rings. Zbl 0883.13011Gilmer, Robert 2 1995 Zero-dimensional extension rings and subrings. Zbl 0882.13012Gilmer, Robert 2 1995 Residue fields of zero-dimensional rings. – Appendix (by Roger Wiegand): Big transcendence degree. Zbl 0882.13013Gilmer, Robert 1 1995 Infinite products of zero-dimensional commutative rings. Zbl 0869.13004Gilmer, Robert; Heinzer, William 1 1995 Imbeddability of a commutative ring in a finite-dimensional ring. Zbl 0857.13012Gilmer, Robert; Heinzer, William 10 1994 Primary ideals with finitely generated radical in a commutative ring. Zbl 0794.13002Gilmer, Robert; Heinzer, William 13 1993 Artinian subrings of a commutative ring. Zbl 0778.13012Gilmer, Robert; Heinzer, William 9 1993 \(t\)-invertibility and comparability. Zbl 0813.13001Gilmer, Robert; Mott, Joe; Zafrullah, Muhammad 7 1993 The Noetherian property in rings of integer-valued polynomials. Zbl 0780.13009Gilmer, Robert; Heinzer, William; Lantz, David 6 1993 Commutative rings with periodic multiplicative semigroup. Zbl 0798.13005Gilmer, Robert 2 1993 Multiplicative ideal theory. Rev. ed. Zbl 0804.13001Gilmer, Robert 116 1992 Products of commutative rings and zero-dimensionality. Zbl 0760.13005Gilmer, Robert; Heinzer, William 22 1992 Zero-dimensionality in commutative rings. Zbl 0787.13008Gilmer, Robert; Heinzer, William 8 1992 The family of residue fields of a zero-dimensional commutative ring. Zbl 0782.13014Gilmer, Robert; Heinzer, William 8 1992 An application of Jónsson modules to some questions concerning proper subrings. Zbl 0782.13005Gilmer, Robert; Heinzer, William 5 1992 An application of Jónsson modules to some questions concerning proper subrings. Zbl 0738.13006Gilmer, Robert; Heinzer, William 1 1992 Prüfer domains and rings of integer-valued polynomials. Zbl 0689.13009Gilmer, Robert 17 1990 The ring of integer-valued polynomials of a Dedekind domain. Zbl 0694.13009Gilmer, Robert; Heinzer, William; Lantz, David; Smith, William 6 1990 On the Picard group of a class of non-seminormal domains. Zbl 0797.13012Gilmer, Robert; Martin, Mary B. 4 1990 Sets that determine integer-valued polynomials. Zbl 0695.13015Gilmer, Robert 17 1989 On the imbedding of a direct product into a zero-dimensional commutative ring. Zbl 0709.13003Gilmer, Robert; Heinzer, William 4 1989 The prime spectra of subalgebras of affine algebras and their localizations. Zbl 0669.14001Gilmer, Robert; Nashier, Budh; Nichols, Warren 3 1989 Fields that admit a nonlinear permutation polynomial. Zbl 0672.12007Brawley, J. V.; Gilmer, Robert 1 1989 Jónsson \(\omega _ 0\)-generated algebraic field extensions. Zbl 0588.12014Gilmer, Robert; Heinzer, William 12 1987 On Jónsson algebras over a commutative ring. Zbl 0657.13003Gilmer, Robert; Heinzer, William 11 1987 Generators of ideals containing monics. Zbl 0607.13014Gilmer, Robert; Nashier, Budh; Nichols, Warren 3 1987 Zero divisors in commutative rings. Zbl 0603.13002Gilmer, Robert 7 1986 On the cardinality of subrings of a commutative ring. Zbl 0593.13003Gilmer, Robert; Heinzer, William 2 1986 Chain conditions in commutative semigroup rings. Zbl 0602.20059Gilmer, Robert 2 1986 Finitely generated intermediate rings. Zbl 0564.13009Gilmer, Robert; Heinzer, William 10 1985 Integer-valued polynomials and the strong two-generator property. Zbl 0562.13014Gilmer, Robert; Smith, William W. 4 1985 Commutative monoid rings as Hilbert rings. Zbl 0546.13009Gilmer, Robert 2 1985 Hilbert subalgebras generated by monomials. Zbl 0564.13004Gilmer, Robert 2 1985 Coefficient rings in isomorphic semigroup rings. Zbl 0568.20061Gilmer, Robert; Spiegel, Eugene 1 1985 Commutative semigroup rings. Zbl 0566.20050Gilmer, Robert 211 1984 Finitely generated ideals of the ring of integer-valued polynomials. Zbl 0515.13016Gilmer, Robert; Smith, William W. 18 1983 Cardinality of generating sets for modules over a commutative ring. Zbl 0512.13010Gilmer, Robert; Heinzer, William 9 1983 On Jónsson modules over a commutative ring. Zbl 0537.13007Gilmer, Robert; Heinzer, William 8 1983 Noetherian pairs and hereditarily Noetherian rings. Zbl 0503.13006Gilmer, Robert 6 1983 Principal ideal rings and a condition of Kummer. Zbl 0515.13015Gilmer, Robert; Heinzer, William 1 1983 The coefficient field of a semigroup algebra. Zbl 0517.20045Gilmer, Robert; Spiegel, Eugene 1 1983 Ideals contracted from a Noetherian extension ring. Zbl 0495.13002Gilmer, Robert; Heinzer, William 18 1982 Extension of an order to a simple transcendental extension. Zbl 0483.12006Gilmer, Robert 6 1982 Emmy Noether. A tribute to her life and work. Zbl 0543.01009 7 1981 The quotient field of an intersection of integral domains. Zbl 0465.13004Gilmer, Robert; Heinzer, William 6 1981 Some countability conditions on commutative ring extensions. Zbl 0465.13008Gilmer, Robert; Heinzer, William 5 1981 On R-homomorphisms of power series rings. Zbl 0476.13016Gilmer, Robert; O’Malley, Matthew 3 1981 On the ideal class group of a flat overring. Zbl 0442.13001Gilmer, Robert 1 1981 On \(\text{Pic}(R[X])\) for \(R\) seminormal. Zbl 0428.13003Gilmer, Robert; Heitmann, Raymond C. 52 1980 The Laskerian property, power series rings and Noetherian spectra. Zbl 0447.13009Gilmer, Robert; Heinzer, William 23 1980 The group of units of a commutative semigroup ring. Zbl 0394.20054Gilmer, Robert; Heitmann, Raymond C. 1 1980 The Noetherian property for quotient rings of infinite polynomial rings. Zbl 0388.13007Gilmer, Robert; Heinzer, William 10 1979 Ideals contracted from each extension ring. Zbl 0401.13002Gilmer, Robert; McAdam, Stephen 6 1979 On the divisors of monic polynomials over a commutative ring. Zbl 0365.13007Gilmer, Robert; Heinzer, William 9 1978 \(R\)-endomorphisms of \(R[[X_1,\dots ,X_n]]\). Zbl 0368.13019Gilmer, Robert; O’Malley, Matthew J. 5 1977 Idempotents of commutative semigroup rings. Zbl 0377.20052Gilmer, Robert; Teply, Mark L. 4 1977 Some countability conditions in a commutative ring. Zbl 0392.13009Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William 4 1977 Cardinality of generating sets for ideals of a commutative ring. Zbl 0368.13001Gilmer, Robert; Heinzer, William 3 1977 Modules that are finite sums of simple submodules. Zbl 0371.13008Gilmer, Robert 1 1977 Units of semigroup rings. Zbl 0371.20055Gilmer, Robert; Teply, Mark L. 1 1977 A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. Zbl 0356.13006Gilmer, Robert; Heinzer, William 4 1976 The dimension theory of commutative semigroup rings. Zbl 0334.13005Arnold, Jimmy T.; Gilmer, Robert 3 1976 Finite intersections of quotient rings of a Dedekind domain. Zbl 0316.13008Gilmer, Robert; Grams, Anne 2 1976 A characterization of Prüfer domains in terms of polynomials. Zbl 0307.13011Gilmer, Robert; Hoffman, Joseph F. 38 1975 Zero divisors in power series rings. Zbl 0309.13009Gilmer, Robert; Grams, Anne; Parker, Tom 21 1975 Nilpotent elements of commutative semigroup rings. Zbl 0301.20064Parker, Tom; Gilmer, Robert 14 1975 On polynomial and power series rings over a commutative ring. Zbl 0297.13017Gilmer, Robert 4 1975 Dimension theory of commutative polynomial rings. Zbl 0299.13007Gilmer, Robert 3 1975 Polynomial rings over a commutative von Neumann regular ring. Zbl 0302.13012Gilmer, Robert 1 1975 The integral closure need not be a Prüfer domain. Zbl 0293.13008Gilmer, Robert; Hoffmann, Joseph F. 1 1975 Divisibility properties in semigroup rings. Zbl 0285.13007Gilmer, Robert; Parker, Tom 45 1974 Semigroup rings as Prüfer rings. Zbl 0289.13011Gilmer, Robert; Parker, Tom 22 1974 \(\Delta\)-rings. Zbl 0278.13003Gilmer, Robert; Huckaba, James A. 21 1974 The dimension sequence of a commutative ring. Zbl 0302.13013Arnold, Jimmy T.; Gilmer, Robert 18 1974 A two-dimensional non-Noetherian factorial ring. Zbl 0284.13019Gilmer, Robert 15 1974 Finite element factorization in group rings. Zbl 0275.13019Gilmer, Robert 4 1974 Dimension theory of commutative rings without identity. Zbl 0296.13011Arnold, Jimmy T.; Gilmer, Robert 3 1974 Maximal overrings of an integral domain not containing a given element. Zbl 0291.13008Gilmer, Robert; Huckaba, James A. 1 1974 Overrings and divisorial ideals of rings of the form \(D+M\). Zbl 0239.13001Bastida, Eduardo; Gilmer, Robert 99 1973 Associative rings of order \(p^3\). Zbl 0309.16015Gilmer, Robert; Mott, Joe 11 1973 The \(n\)-generator property for commutative rings. Zbl 0235.13007Gilmer, Robert 5 1973 Dimension sequences for commutative rings. Zbl 0256.13009Arnold, Jimmy T.; Gilmer, Robert 3 1973 On ideal-adic topologies for a commutative ring. Zbl 0251.13015Gilmer, Robert 2 1973 A note on rings with only finitely many subrings. Zbl 0256.16011Gilmer, Robert 2 1973 Prüfer-like conditions on the set of overrings of an integral domain. Zbl 0248.13004Gilmer, Robert 1 1973 ...and 67 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 888 Authors 92 Dobbs, David Earl 75 Anderson, Daniel D. 75 Chang, Gyu Whan 70 Gilmer, Robert W. jun. 66 Fontana, Marco 63 Heinzer, William J. 61 Zafrullah, Muhammad 58 Anderson, David Fenimore 39 Mimouni, Abdeslam 39 Park, Mi Hee 34 Houston, Evan G. jun. 34 Lucas, Thomas George 27 Jarboui, Noômen 27 Kim, Hwankoo 26 Dumitrescu, Tiberiu 26 Kang, Byung Gyun 25 Ayache, Ahmed 25 Brewer, James W. 25 Olberding, Bruce M. 24 Kabbaj, Salah-Eddine 24 Loper, Kenneth Alan 24 Spirito, Dario 22 Picavet, Gabriel 21 Cahen, Paul-Jean 19 Gabelli, Stefania 19 Rush, David E. 18 El Baghdadi, Said 18 Visweswaran, Subramanian 16 Mahdou, Najib 16 Oman, Greg G. 16 Shapiro, Jay Allen 15 Chapman, Scott Thomas 15 Geroldinger, Alfred 15 Jespers, Eric 15 Lantz, David C. 15 Mott, Joe Leonard 15 Oh, Dong Yeol 15 Picavet-L’Hermitte, Martine 15 Toan, Phan Thanh 14 Finocchiaro, Carmelo Antonio 14 Huckaba, James A. 14 Lim, Jung Wook 14 Roitman, Moshe 14 Wang, Fanggui 13 Chabert, Jean-Luc 13 Juett, Jason Robert 13 Sahandi, Parviz 13 Zanardo, Paolo 12 Bouchiba, Samir 12 Coykendall, James 12 Halter-Koch, Franz 12 Okniński, Jan 12 Smith, William W. 11 Costa, Douglas L. 11 Jayaram, Chillumuntala 11 McGovern, Warren Wm. 11 Papick, Ira J. 11 Picozza, Giampaolo 11 Tartarone, Francesca 10 Barucci, Valentina 10 Ben Nasr, Mabrouk 10 Benhissi, Ali 10 Močkoř, Jiří 10 Shah, Tariq 9 Arnold, Jimmy T. 9 Badawi, Ayman 9 Hamed, Ahmed 9 Jaballah, Ali 9 Klingler, Lee C. 9 Rosales, José Carlos 8 Gotti, Felix 8 Karim, Driss 8 Khalifa, Mohamed 8 Marubayashi, Hidetoshi 8 Matsuda, Ryûki 8 Peruginelli, Giulio 8 Reinhart, Andreas 7 Azarang, Alborz 7 Frisch, Sophie 7 Gaur, Atul 7 Glaz, Sarah 7 Johnson, Eugene W. 7 Kumar, Rahul 7 Tuganbaev, Askar Akanovich 6 Ali, Majid M. 6 de Andrade, Antonio Aparecido 6 Facchini, Alberto 6 Giau, Le Thi Ngoc 6 Hamdi, Haleh 6 Mooney, Christopher Park 6 Nasehpour, Peyman 6 Ohm, Jack 6 Park, Jeanam 6 Ratliff, Louis J. jun. 6 Tekir, Unsal 6 Zeidi, Nabil 5 Ahmed, Malik Tusif 5 Angermüller, Gerhard 5 Chun, Sangmin 5 Epstein, Neil ...and 788 more Authors all top 5 Cited in 161 Serials 414 Communications in Algebra 240 Journal of Algebra 180 Journal of Pure and Applied Algebra 99 Journal of Algebra and its Applications 71 Proceedings of the American Mathematical Society 36 Archiv der Mathematik 31 Transactions of the American Mathematical Society 28 Journal of Commutative Algebra 24 Semigroup Forum 23 Rocky Mountain Journal of Mathematics 22 Czechoslovak Mathematical Journal 20 Manuscripta Mathematica 18 Rendiconti del Circolo Matemàtico di Palermo. Serie II 17 Ricerche di Matematica 14 Bulletin of the Australian Mathematical Society 14 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Beiträge zur Algebra und Geometrie 13 Glasgow Mathematical Journal 12 Bulletin of the Korean Mathematical Society 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Mathematika 9 Mathematische Zeitschrift 9 Monatshefte für Mathematik 9 Results in Mathematics 9 Linear Algebra and its Applications 9 Palestine Journal of Mathematics 8 Rendiconti del Seminario Matematico della Università di Padova 7 Periodica Mathematica Hungarica 7 International Journal of Mathematics and Mathematical Sciences 7 Journal of Number Theory 7 Mathematische Annalen 7 Proceedings of the Japan Academy. Series A 7 International Journal of Algebra and Computation 7 Journal of Mathematical Sciences (New York) 7 Korean Journal of Mathematics 6 American Mathematical Monthly 6 Algebra Universalis 6 Journal of the Korean Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Quaestiones Mathematicae 6 International Electronic Journal of Algebra (IEJA) 6 Arabian Journal of Mathematics 5 Israel Journal of Mathematics 5 Journal of Soviet Mathematics 5 Kyungpook Mathematical Journal 5 Mathematische Nachrichten 5 Algebra Colloquium 5 Discrete Mathematics, Algorithms and Applications 4 Fuzzy Sets and Systems 4 Journal of Symbolic Computation 4 Turkish Journal of Mathematics 4 Algebras and Representation Theory 4 Journal of the Australian Mathematical Society 4 Algebra and Discrete Mathematics 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 Topology and its Applications 3 Acta Mathematica Hungarica 3 Annals of Pure and Applied Logic 3 Forum Mathematicum 3 Expositiones Mathematicae 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the American Mathematical Society 3 Frontiers of Mathematics in China 3 Journal of Mathematics 3 Bollettino dell’Unione Matematica Italiana 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Discrete Mathematics 2 Ukrainian Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 The Journal of Symbolic Logic 2 Mathematica Slovaca 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Annales Mathématiques Blaise Pascal 2 Finite Fields and their Applications 2 The New York Journal of Mathematics 2 Vietnam Journal of Mathematics 2 JP Journal of Algebra, Number Theory and Applications 2 Asian-European Journal of Mathematics 2 São Paulo Journal of Mathematical Sciences 2 Journal of Mathematical Extension 2 Journal of Algebra and Related Topics 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Algebra and Logic 1 Anais da Academia Brasileira de Ciências 1 Annals of the Institute of Statistical Mathematics 1 Bulletin de la Société Mathématique de France 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Information Sciences ...and 61 more Serials all top 5 Cited in 32 Fields 1,442 Commutative algebra (13-XX) 228 Associative rings and algebras (16-XX) 187 Group theory and generalizations (20-XX) 94 Algebraic geometry (14-XX) 75 Number theory (11-XX) 74 Order, lattices, ordered algebraic structures (06-XX) 65 Field theory and polynomials (12-XX) 26 Mathematical logic and foundations (03-XX) 24 Combinatorics (05-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 General topology (54-XX) 13 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) 4 Functions of a complex variable (30-XX) 3 Nonassociative rings and algebras (17-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year