## Gilmer, Robert W. jun.

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

167 Publications have been cited 2,670 times in 1,706 Documents Cited by Year
Multiplicative ideal theory. Zbl 0248.13001
Gilmer, Robert
1972
Commutative semigroup rings. Zbl 0566.20050
Gilmer, Robert
1984
Multiplicative ideal theory. Rev. ed. Zbl 0804.13001
Gilmer, Robert
1992
Overrings and divisorial ideals of rings of the form $$D+M$$. Zbl 0239.13001
Bastida, Eduardo; Gilmer, Robert
1973
On $$\text{Pic}(R[X])$$ for $$R$$ seminormal. Zbl 0428.13003
Gilmer, Robert; Heitmann, Raymond C.
1980
Overrings of Prüfer domains. II. Zbl 0156.04304
Gilmer, R. W. jun.; Heinzer, W. J.
1967
Divisibility properties in semigroup rings. Zbl 0285.13007
Gilmer, Robert; Parker, Tom
1974
Overrings of Prüfer domains. Zbl 0146.26205
Gilmer, R. W. jun.
1966
Multiplicative ideal theory. Parts I, II. Zbl 0155.36402
Gilmer, Robert W.
1968
Some finiteness conditions on the set of overrings of an integral domain. Zbl 1017.13009
Gilmer, Robert
2003
Intersections of quotient rings of an integral domain. Zbl 0166.30601
Gilmer, R.; Heinzer, W. J.
1967
A characterization of Prüfer domains in terms of polynomials. Zbl 0307.13011
Gilmer, Robert; Hoffman, Joseph F.
1975
Integral domains with quotient overrings. Zbl 0128.26004
Gilmer, Robert; Ohm, Jack
1964
The Laskerian property, power series rings and Noetherian spectra. Zbl 0447.13009
Gilmer, Robert; Heinzer, William
1980
Semigroup rings as Prüfer rings. Zbl 0289.13011
Gilmer, Robert; Parker, Tom
1974
Products of commutative rings and zero-dimensionality. Zbl 0760.13005
Gilmer, Robert; Heinzer, William
1992
Zero divisors in power series rings. Zbl 0309.13009
Gilmer, Robert; Grams, Anne; Parker, Tom
1975
Multiplication rings as rings in which ideals with prime radical are primary. Zbl 0136.02402
Gilmer, Robert W. jun.; Mott, Joe Leonard
1965
Finite rings having a cyclic multiplicative group of units. Zbl 0113.26501
Gilmer, R. W. jun.
1963
Primary ideals and valuation ideals. Zbl 0133.29203
Gilmer, R.; Ohm, J.
1965
$$\Delta$$-rings. Zbl 0278.13003
Gilmer, Robert; Huckaba, James A.
1974
On the number of generators of an invertible ideal. Zbl 0186.35201
Gilmer, R.; Heinzer, W.
1970
The dimension sequence of a commutative ring. Zbl 0302.13013
Arnold, Jimmy T.; Gilmer, Robert
1974
Integral domains which are almost Dedekind. Zbl 0142.00703
Gilmer, R. W. jun.
1964
Two constructions of Prüfer domains. Zbl 0184.29102
Gilmer, R.
1969
Ideals contracted from a Noetherian extension ring. Zbl 0495.13002
Gilmer, Robert; Heinzer, William
1982
Finitely generated ideals of the ring of integer-valued polynomials. Zbl 0515.13016
Gilmer, Robert; Smith, William W.
1983
Prüfer domains and rings of integer-valued polynomials. Zbl 0689.13009
Gilmer, Robert
1990
Sets that determine integer-valued polynomials. Zbl 0695.13015
Gilmer, Robert
1989
On the complete integral closure of an integral domain. Zbl 0147.01502
Gilmer, R. W. jun.; Heinzer, W. J.
1966
The pseudo-radical of a commutative ring. Zbl 0147.01501
Gilmer, R. W. jun.
1966
A note on the quotient field of the domain $$D[[X]]$$. Zbl 0158.29104
Gilmer, R.
1967
A two-dimensional non-Noetherian factorial ring. Zbl 0284.13019
Gilmer, Robert
1974
Nilpotent elements of commutative semigroup rings. Zbl 0301.20064
Parker, Tom; Gilmer, Robert
1975
Power series rings over a Krull domain. Zbl 0179.34502
Gilmer, R.
1969
A note on semigroup rings. Zbl 0169.05403
Gilmer, R.
1969
Primary ideals with finitely generated radical in a commutative ring. Zbl 0794.13002
Gilmer, Robert; Heinzer, William
1993
Irredundant intersections of valuation rings. Zbl 0157.08502
Gilmer, Robert; Heinzer, William
1968
Integral dependence in power series rings. Zbl 0185.09803
Gilmer, R.
1969
An embedding theorem for HCF-rings. Zbl 0206.32901
Gilmer, R.
1970
Rings in which semi-primary ideals are primary. Zbl 0118.27201
Gilmer, R. W.
1962
Jónsson $$\omega _ 0$$-generated algebraic field extensions. Zbl 0588.12014
Gilmer, Robert; Heinzer, William
1987
Associative rings of order $$p^3$$. Zbl 0309.16015
Gilmer, Robert; Mott, Joe
1973
Primary ideals and prime power ideals. Zbl 0144.02703
Butts, H. S.; Gilmer, R. W. jun.
1966
R-automorphisms of R(X). Zbl 0177.30001
Gilmer, R. W. jun.
1968
On Jónsson algebras over a commutative ring. Zbl 0657.13003
Gilmer, Robert; Heinzer, William
1987
The Noetherian property for quotient rings of infinite polynomial rings. Zbl 0388.13007
Gilmer, Robert; Heinzer, William
1979
On the contents of polynomials. Zbl 0193.35101
Arnold, J. T.; Gilmer, R.
1970
Integral domains whose overrings are ideal transforms. Zbl 0203.34602
Brewer, J. W.; Gilmer, R.
1971
Idempotent ideals and unions of nets of Prüfer domains. Zbl 0268.13001
Arnold, Jimmy T.; Gilmer, Robert
1967
Finitely generated intermediate rings. Zbl 0564.13009
Gilmer, Robert; Heinzer, William
1985
Imbeddability of a commutative ring in a finite-dimensional ring. Zbl 0857.13012
Gilmer, Robert; Heinzer, William
1994
On the divisors of monic polynomials over a commutative ring. Zbl 0365.13007
Gilmer, Robert; Heinzer, William
1978
The cancellation law for ideals in a commutative ring. Zbl 0142.00704
Gilmer, R. W. jun.
1965
Some applications of the Hilfssatz von Dedekind-Mertens. Zbl 0167.03602
Gilmer, R. W. jun.
1967
$$R$$-automorphisms of $$R[[X]]$$. Zbl 0179.34501
Gilmer, R.
1970
Integral domains with Noetherian subrings. Zbl 0185.09802
Gilmer, R.
1970
Artinian subrings of a commutative ring. Zbl 0778.13012
Gilmer, Robert; Heinzer, William
1993
Cardinality of generating sets for modules over a commutative ring. Zbl 0512.13010
Gilmer, Robert; Heinzer, William
1983
A class of domains in which primary ideals are valuation ideals. Zbl 0135.08001
Gilmer, R. W.
1965
Domains in which valuation ideals are prime powers. Zbl 0142.28403
Gilmer, R. W. jun.
1966
Zero-dimensionality in commutative rings. Zbl 0787.13008
Gilmer, Robert; Heinzer, William
1992
The family of residue fields of a zero-dimensional commutative ring. Zbl 0782.13014
Gilmer, Robert; Heinzer, William
1992
On Jónsson modules over a commutative ring. Zbl 0537.13007
Gilmer, Robert; Heinzer, William
1983
On the existence of exceptional field extensions. Zbl 0168.29202
Gilmer, R.; Heinzer, W.
1968
On Prüfer rings. Zbl 0228.13005
Gilmer, Robert
1972
Extension of results concerning rings in which semi-primary ideals are primary. Zbl 0122.29002
Gilmer, R. W. jun.
1964
Emmy Noether. A tribute to her life and work. Zbl 0543.01009
1981
Zero divisors in commutative rings. Zbl 0603.13002
Gilmer, Robert
1986
$$t$$-invertibility and comparability. Zbl 0813.13001
Gilmer, Robert; Mott, Joe; Zafrullah, Muhammad
1993
Finite generation of powers of ideals. Zbl 0923.13012
Gilmer, Robert; Heinzer, William; Roitman, Moshe
1999
Zero-dimensional subrings of commutative rings. Zbl 0859.13005
Gilmer, Robert
1995
On the distribution of prime ideals within the ideal class group. Zbl 0858.13004
Gilmer, R.; Heinzer, W.; Smith, W. W.
1996
The ring of integer-valued polynomials of a Dedekind domain. Zbl 0694.13009
Gilmer, Robert; Heinzer, William; Lantz, David; Smith, William
1990
Ideals contracted from each extension ring. Zbl 0401.13002
1979
Eleven nonequivalent conditions on a commutative ring. Zbl 0144.02701
Gilmer, R. W. jun.
1966
Some results on contracted ideals. Zbl 0204.05701
Gilmer, R.; Mott, J.
1970
The transform formula for ideals. Zbl 0232.13002
Gilmer, Robert; Huckaba, James A.
1972
On commutative rings of finite rank. Zbl 0237.13008
Gilmer, Robert
1972
The equality $$(A \cap B)^n=A^n \cap B^n$$ for ideals. Zbl 0238.13020
Gilmer, Robert; Grams, Anne
1972
The quotient field of an intersection of integral domains. Zbl 0465.13004
Gilmer, Robert; Heinzer, William
1981
Extension of an order to a simple transcendental extension. Zbl 0483.12006
Gilmer, Robert
1982
Noetherian pairs and hereditarily Noetherian rings. Zbl 0503.13006
Gilmer, Robert
1983
The Noetherian property in rings of integer-valued polynomials. Zbl 0780.13009
Gilmer, Robert; Heinzer, William; Lantz, David
1993
An application of Jónsson modules to some questions concerning proper subrings. Zbl 0782.13005
Gilmer, Robert; Heinzer, William
1992
Background and preliminaries on zero-dimensional rings. Zbl 0882.13011
Gilmer, Robert
1995
$$R$$-endomorphisms of $$R[[X_1,\dots ,X_n]]$$. Zbl 0368.13019
Gilmer, Robert; O’Malley, Matthew J.
1977
If $$R[X]$$ is Noetherian, $$R$$ contains an identity. Zbl 0145.04603
Gilmer, R. W. jun.
1967
Commutative rings in which each prime ideal is principal. Zbl 0169.05402
Gilmer, R.
1969
Contracted ideals with respect to integral extensions. Zbl 0171.00202
Gilmer, R. W. jun.
1967
Rings of formal power series over a Krull domain. Zbl 0175.03802
Gilmer, R.; Heinzer, W.
1968
A note on generating sets for invertible ideals. Zbl 0176.00101
Gilmer, Robert
1969
Contracted ideals in Krull domains. Zbl 0204.05702
Gilmer, R.
1970
The $$n$$-generator property for commutative rings. Zbl 0235.13007
Gilmer, Robert
1973
Some countability conditions on commutative ring extensions. Zbl 0465.13008
Gilmer, Robert; Heinzer, William
1981
On the Picard group of a class of non-seminormal domains. Zbl 0797.13012
Gilmer, Robert; Martin, Mary B.
1990
On polynomial and power series rings over a commutative ring. Zbl 0297.13017
Gilmer, Robert
1975
A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. Zbl 0356.13006
Gilmer, Robert; Heinzer, William
1976
Idempotents of commutative semigroup rings. Zbl 0377.20052
Gilmer, Robert; Teply, Mark L.
1977
Some countability conditions in a commutative ring. Zbl 0392.13009
Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William
1977
Some questions for further research. Zbl 1122.13300
Gilmer, Robert
2006
Forty years of commutative ring theory. Zbl 1060.13002
Gilmer, Robert
2004
Some finiteness conditions on the set of overrings of an integral domain. Zbl 1017.13009
Gilmer, Robert
2003
A new criterion for embeddability in a zero-dimensional commutative ring. Zbl 1095.13505
Gilmer, Robert
2001
Commutative rings of dimension 0. Zbl 1055.13011
Gilmer, Robert
2000
Finite generation of powers of ideals. Zbl 0923.13012
Gilmer, Robert; Heinzer, William; Roitman, Moshe
1999
The ideal of polynomials vanishing on a commutative ring. Zbl 0924.13010
Gilmer, Robert
1999
On the polynomial equivalence of subsets $$E$$ and $$f(E)$$ of $$\mathbb{Z}$$. Zbl 0955.13009
Gilmer, Robert; Smith, William W.
1999
On the embedding of a commutative ring in a local ring. Zbl 0915.13006
Gilmer, Robert; Heinzer, William
1999
Primary decomposition of ideals in polynomial rings. Zbl 0972.13001
Fu, Guang; Gilmer, Robert
1999
Prime ideals of finite height in polynomial rings. Zbl 0964.13012
Gilmer, Robert; Heinzer, William
1998
An intersection condition for prime ideals. Zbl 0897.13006
Gilmer, Robert
1997
On the distribution of prime ideals within the ideal class group. Zbl 0858.13004
Gilmer, R.; Heinzer, W.; Smith, W. W.
1996
Zero-dimensional subrings of commutative rings. Zbl 0859.13005
Gilmer, Robert
1995
Background and preliminaries on zero-dimensional rings. Zbl 0882.13011
Gilmer, Robert
1995
Zero-dimensionality and products of commutative rings. Zbl 0883.13011
Gilmer, Robert
1995
Zero-dimensional extension rings and subrings. Zbl 0882.13012
Gilmer, Robert
1995
Residue fields of zero-dimensional rings. – Appendix (by Roger Wiegand): Big transcendence degree. Zbl 0882.13013
Gilmer, Robert
1995
Infinite products of zero-dimensional commutative rings. Zbl 0869.13004
Gilmer, Robert; Heinzer, William
1995
Imbeddability of a commutative ring in a finite-dimensional ring. Zbl 0857.13012
Gilmer, Robert; Heinzer, William
1994
Primary ideals with finitely generated radical in a commutative ring. Zbl 0794.13002
Gilmer, Robert; Heinzer, William
1993
Artinian subrings of a commutative ring. Zbl 0778.13012
Gilmer, Robert; Heinzer, William
1993
$$t$$-invertibility and comparability. Zbl 0813.13001
Gilmer, Robert; Mott, Joe; Zafrullah, Muhammad
1993
The Noetherian property in rings of integer-valued polynomials. Zbl 0780.13009
Gilmer, Robert; Heinzer, William; Lantz, David
1993
Commutative rings with periodic multiplicative semigroup. Zbl 0798.13005
Gilmer, Robert
1993
Multiplicative ideal theory. Rev. ed. Zbl 0804.13001
Gilmer, Robert
1992
Products of commutative rings and zero-dimensionality. Zbl 0760.13005
Gilmer, Robert; Heinzer, William
1992
Zero-dimensionality in commutative rings. Zbl 0787.13008
Gilmer, Robert; Heinzer, William
1992
The family of residue fields of a zero-dimensional commutative ring. Zbl 0782.13014
Gilmer, Robert; Heinzer, William
1992
An application of Jónsson modules to some questions concerning proper subrings. Zbl 0782.13005
Gilmer, Robert; Heinzer, William
1992
An application of Jónsson modules to some questions concerning proper subrings. Zbl 0738.13006
Gilmer, Robert; Heinzer, William
1992
Prüfer domains and rings of integer-valued polynomials. Zbl 0689.13009
Gilmer, Robert
1990
The ring of integer-valued polynomials of a Dedekind domain. Zbl 0694.13009
Gilmer, Robert; Heinzer, William; Lantz, David; Smith, William
1990
On the Picard group of a class of non-seminormal domains. Zbl 0797.13012
Gilmer, Robert; Martin, Mary B.
1990
Sets that determine integer-valued polynomials. Zbl 0695.13015
Gilmer, Robert
1989
On the imbedding of a direct product into a zero-dimensional commutative ring. Zbl 0709.13003
Gilmer, Robert; Heinzer, William
1989
The prime spectra of subalgebras of affine algebras and their localizations. Zbl 0669.14001
Gilmer, Robert; Nashier, Budh; Nichols, Warren
1989
Fields that admit a nonlinear permutation polynomial. Zbl 0672.12007
Brawley, J. V.; Gilmer, Robert
1989
Jónsson $$\omega _ 0$$-generated algebraic field extensions. Zbl 0588.12014
Gilmer, Robert; Heinzer, William
1987
On Jónsson algebras over a commutative ring. Zbl 0657.13003
Gilmer, Robert; Heinzer, William
1987
Generators of ideals containing monics. Zbl 0607.13014
Gilmer, Robert; Nashier, Budh; Nichols, Warren
1987
Zero divisors in commutative rings. Zbl 0603.13002
Gilmer, Robert
1986
On the cardinality of subrings of a commutative ring. Zbl 0593.13003
Gilmer, Robert; Heinzer, William
1986
Chain conditions in commutative semigroup rings. Zbl 0602.20059
Gilmer, Robert
1986
Finitely generated intermediate rings. Zbl 0564.13009
Gilmer, Robert; Heinzer, William
1985
Integer-valued polynomials and the strong two-generator property. Zbl 0562.13014
Gilmer, Robert; Smith, William W.
1985
Commutative monoid rings as Hilbert rings. Zbl 0546.13009
Gilmer, Robert
1985
Hilbert subalgebras generated by monomials. Zbl 0564.13004
Gilmer, Robert
1985
Coefficient rings in isomorphic semigroup rings. Zbl 0568.20061
Gilmer, Robert; Spiegel, Eugene
1985
Commutative semigroup rings. Zbl 0566.20050
Gilmer, Robert
1984
Finitely generated ideals of the ring of integer-valued polynomials. Zbl 0515.13016
Gilmer, Robert; Smith, William W.
1983
Cardinality of generating sets for modules over a commutative ring. Zbl 0512.13010
Gilmer, Robert; Heinzer, William
1983
On Jónsson modules over a commutative ring. Zbl 0537.13007
Gilmer, Robert; Heinzer, William
1983
Noetherian pairs and hereditarily Noetherian rings. Zbl 0503.13006
Gilmer, Robert
1983
Principal ideal rings and a condition of Kummer. Zbl 0515.13015
Gilmer, Robert; Heinzer, William
1983
The coefficient field of a semigroup algebra. Zbl 0517.20045
Gilmer, Robert; Spiegel, Eugene
1983
Ideals contracted from a Noetherian extension ring. Zbl 0495.13002
Gilmer, Robert; Heinzer, William
1982
Extension of an order to a simple transcendental extension. Zbl 0483.12006
Gilmer, Robert
1982
Emmy Noether. A tribute to her life and work. Zbl 0543.01009
1981
The quotient field of an intersection of integral domains. Zbl 0465.13004
Gilmer, Robert; Heinzer, William
1981
Some countability conditions on commutative ring extensions. Zbl 0465.13008
Gilmer, Robert; Heinzer, William
1981
On R-homomorphisms of power series rings. Zbl 0476.13016
Gilmer, Robert; O&rsquo;Malley, Matthew
1981
On the ideal class group of a flat overring. Zbl 0442.13001
Gilmer, Robert
1981
On $$\text{Pic}(R[X])$$ for $$R$$ seminormal. Zbl 0428.13003
Gilmer, Robert; Heitmann, Raymond C.
1980
The Laskerian property, power series rings and Noetherian spectra. Zbl 0447.13009
Gilmer, Robert; Heinzer, William
1980
The group of units of a commutative semigroup ring. Zbl 0394.20054
Gilmer, Robert; Heitmann, Raymond C.
1980
The Noetherian property for quotient rings of infinite polynomial rings. Zbl 0388.13007
Gilmer, Robert; Heinzer, William
1979
Ideals contracted from each extension ring. Zbl 0401.13002
1979
On the divisors of monic polynomials over a commutative ring. Zbl 0365.13007
Gilmer, Robert; Heinzer, William
1978
$$R$$-endomorphisms of $$R[[X_1,\dots ,X_n]]$$. Zbl 0368.13019
Gilmer, Robert; O&rsquo;Malley, Matthew J.
1977
Idempotents of commutative semigroup rings. Zbl 0377.20052
Gilmer, Robert; Teply, Mark L.
1977
Some countability conditions in a commutative ring. Zbl 0392.13009
Arnold, Jimmy T.; Gilmer, Robert; Heinzer, William
1977
Cardinality of generating sets for ideals of a commutative ring. Zbl 0368.13001
Gilmer, Robert; Heinzer, William
1977
Modules that are finite sums of simple submodules. Zbl 0371.13008
Gilmer, Robert
1977
Units of semigroup rings. Zbl 0371.20055
Gilmer, Robert; Teply, Mark L.
1977
A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. Zbl 0356.13006
Gilmer, Robert; Heinzer, William
1976
The dimension theory of commutative semigroup rings. Zbl 0334.13005
Arnold, Jimmy T.; Gilmer, Robert
1976
Finite intersections of quotient rings of a Dedekind domain. Zbl 0316.13008
Gilmer, Robert; Grams, Anne
1976
A characterization of Prüfer domains in terms of polynomials. Zbl 0307.13011
Gilmer, Robert; Hoffman, Joseph F.
1975
Zero divisors in power series rings. Zbl 0309.13009
Gilmer, Robert; Grams, Anne; Parker, Tom
1975
Nilpotent elements of commutative semigroup rings. Zbl 0301.20064
Parker, Tom; Gilmer, Robert
1975
On polynomial and power series rings over a commutative ring. Zbl 0297.13017
Gilmer, Robert
1975
Dimension theory of commutative polynomial rings. Zbl 0299.13007
Gilmer, Robert
1975
Polynomial rings over a commutative von Neumann regular ring. Zbl 0302.13012
Gilmer, Robert
1975
The integral closure need not be a Prüfer domain. Zbl 0293.13008
Gilmer, Robert; Hoffmann, Joseph F.
1975
Divisibility properties in semigroup rings. Zbl 0285.13007
Gilmer, Robert; Parker, Tom
1974
Semigroup rings as Prüfer rings. Zbl 0289.13011
Gilmer, Robert; Parker, Tom
1974
$$\Delta$$-rings. Zbl 0278.13003
Gilmer, Robert; Huckaba, James A.
1974
The dimension sequence of a commutative ring. Zbl 0302.13013
Arnold, Jimmy T.; Gilmer, Robert
1974
A two-dimensional non-Noetherian factorial ring. Zbl 0284.13019
Gilmer, Robert
1974
Finite element factorization in group rings. Zbl 0275.13019
Gilmer, Robert
1974
Dimension theory of commutative rings without identity. Zbl 0296.13011
Arnold, Jimmy T.; Gilmer, Robert
1974
Maximal overrings of an integral domain not containing a given element. Zbl 0291.13008
Gilmer, Robert; Huckaba, James A.
1974
Overrings and divisorial ideals of rings of the form $$D+M$$. Zbl 0239.13001
Bastida, Eduardo; Gilmer, Robert
1973
Associative rings of order $$p^3$$. Zbl 0309.16015
Gilmer, Robert; Mott, Joe
1973
The $$n$$-generator property for commutative rings. Zbl 0235.13007
Gilmer, Robert
1973
Dimension sequences for commutative rings. Zbl 0256.13009
Arnold, Jimmy T.; Gilmer, Robert
1973
On ideal-adic topologies for a commutative ring. Zbl 0251.13015
Gilmer, Robert
1973
A note on rings with only finitely many subrings. Zbl 0256.16011
Gilmer, Robert
1973
Prüfer-like conditions on the set of overrings of an integral domain. Zbl 0248.13004
Gilmer, Robert
1973
...and 67 more Documents
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### 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
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### 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
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### 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)