R. W. Jr. Gilmer

R. W. Jr. Gilmer's AcademicInfluence.com Rankings

R. W. Jr. Gilmer

Mathematics

#6412

World Rank

#8884

Historical Rank

Ring Theory

World Rank

Historical Rank

Algebra

#215

World Rank

#319

Historical Rank

Measure Theory

#1330

World Rank

#1675

Historical Rank

mathematics Degrees

Download Badge

Mathematics

R. W. Jr. Gilmer's Degrees

PhD Mathematics University of Chicago

Why Is R. W. Jr. Gilmer Influential?

(Suggest an Edit or Addition)

(See a Problem?)

R. W. Jr. Gilmer's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Multiplicative ideal theory (1968) (1117)
Commutative Semigroup Rings (1984) (467)
Divisibility properties in semigroup rings. (1974) (106)
Intersections of quotient rings of an integral domain (1967) (90)
Overrings of Prüfer domains. II (1966) (83)
On Pic(R[X]) for R seminormal (1980) (82)
A characterization of Prüfer domains in terms of polynomials. (1975) (79)
Integral domains with quotient overrings (1964) (62)
Some finiteness conditions on the set of overrings of an integral domain (2002) (58)
Integral domains which are almost Dedekind (1964) (49)
Products of commutative rings and zero-dimensionality (1992) (47)
Zero divisors in power series rings. (1975) (47)
Semigroup rings as Prüfer rings (1974) (43)
The Laskerian property, power series rings and Noetherian spectra (1980) (42)
Finite Rings Having a Cyclic Multiplicative Group of Units (1963) (42)
THE DIMENSION SEQUENCE OF A COMMUTATIVE RING. (1974) (41)
On the complete integral closure of an integral domain (1966) (40)
Primary ideals and valuation ideals. II (1965) (38)
Two constructions of prüfer domains. (1969) (37)
An embedding theorem for HCF-rings (1970) (37)
MULTIPLICATION RINGS AS RINGS IN WHICH IDEALS WITH PRIME RADICAL ARE PRIMARY (1965) (36)
On the Number of Generators of an Invertible Ideal (1970) (33)
A two-dimensional non-Noetherian factorial ring (1974) (32)
Sets that determine integer-valued polynomials (1989) (32)
On the contents of polynomials (1970) (31)
Irredundant intersections of valuation rings (1968) (29)
The pseudo-radical of a commutative ring. (1966) (28)
Nilpotent elements of commutative semigroup rings. (1975) (28)
Prüfer domains and rings of integer-valued polynomials (1990) (28)
Ideals contracted from a Noetherian extension ring (1982) (26)
Finitely generated ideals of the ring of integer-valued polynomials (1983) (25)
Power series rings over a Krull domain. (1969) (24)
A Note on the Quotient Field of the Domain D[[ X ]] (1967) (23)
Primary ideals with finitely generated radical in a commutative ring (1993) (22)
Integral domains with noetherian subrings (1970) (21)
Primary Ideals and Prime Power Ideals (1966) (21)
The Cancellation Law for Ideals in a Commutative Ring (1965) (20)
Artinian subrings of a commutative ring (1993) (20)
ZERO-DIMENSIONALITY IN COMMUTATIVE RINGS (1992) (19)
The Noetherian property for quotient rings of infinite polynomial rings (1979) (19)
Associative rings of order $P^3$ (1973) (19)
Imbeddability of a commutative ring in a finite-dimensional ring (1994) (18)
Cardinality of generating sets for modules over a commutative ring. (1983) (18)
Idempotent ideals and unions of nets of Prüfer domains (1967) (17)
A class of domains in which primary ideals are valuation ideals (1965) (17)
Zero-Dimensional Subrings of Commutative Rings (1995) (16)
Finite generation of powers of ideals (1999) (16)
Eleven Nonequivalent Conditions on a Commutative Ring (1966) (16)
The transform formula for ideals (1972) (15)
On the existence of exceptional field extensions (1968) (14)
The Noetherian property in rings of integer-valued polynomials (1993) (14)
On Jónsson algebras over a commutative ring (1987) (14)
Zero Divisors in Commutative Rings (1986) (14)
Integral dependence in power series rings (1969) (13)
Commutative rings in which each prime ideal is principal (1969) (13)
An Application of Jonsson Modules to Some Questions Concerning Proper Subrings. (1992) (13)
The family of residue fields of a zero-dimensional commutative ring (1992) (13)
R‐Automorphisms of R[X] (1968) (13)
Finitely generated intermediate rings (1985) (13)
Integral domains whose overrings are ideal transforms (1971) (13)
Rings of formal power series over a Krull domain (1968) (13)
Rings in which the unique primary decomposition theorem holds (1963) (12)
The $n$-generator property for commutative rings (1973) (12)
On the imbedding of a direct product into a zero-dimensional commutative ring (1989) (12)
On the divisors of monic polynomials over a commutative ring. (1978) (12)
On commutative rings of finite rank (1972) (12)
On a Condition of J. Ohm for Integral Domains (1968) (11)
The ring of integer-valued polynomials of a Dedekind domain (1990) (11)
A NOTE ON GENERATING SETS FOR INVERTIBLE IDEALS (1969) (11)
Some results on contracted ideals (1970) (11)
If R[ X ] is Noetherian, R Contains an Identity (1967) (10)
Jónsson $\omega_0$-generated algebraic field extensions. (1987) (10)
Some questions for further research (2006) (9)
The Equality (A ∩ B)n = A n ∩ B n for Ideals (1972) (9)
On the Cardinality of Subrings of a Commutative Ring (1986) (9)
On factorization into prime ideals (1972) (9)
An Existence Theorem for Non-Noetherian Rings (1970) (9)
Non-Noetherian Rings for which Each Proper Subring is Noetherian. (1972) (9)
Dimension sequences for commutative rings (1973) (8)
The group of units of a commutative semigroup ring (1979) (8)
Some countability conditions in a commutative ring (1977) (8)
$R$-automorphisms of $RX$. (1970) (8)
A non-Noetherian two-dimensional Hilbert domain with principal maximal ideals. (1976) (8)
Noetherian pairs and hereditarily Noetherian rings (1983) (8)
Chain conditions in commutative semigroup rings (1986) (7)
The quotient field of an intersection of integral domains (1981) (7)
On a classical theorem of Noether in ideal theory. (1963) (7)
Commutative rings containing at most two prime ideals. (1963) (7)
Contracted ideals in Krull domains (1970) (7)
On proper overrings of integral domains (1968) (7)
Some containment relations between classes of ideals of a commutative ring (1965) (7)
On Prüfer rings (1972) (7)
Dimension theory of commutative rings without identity (1974) (6)
On polynomial and power series rings over a commutative ring (1975) (6)
Prüfer-like conditions on the set of overrings of an integral domain (1973) (6)
On the polynomial equivalence of subsets E and f(E) of $\Bbb Z$ (1999) (6)
The prime spectra of subalgebras of affine algebras and their localizations (1989) (6)
Some countability conditions on commutative ring extensions (1981) (6)
Generators of ideals containing monies (1987) (5)
The ideal of polynomials vanishing on a commutative ring (1999) (5)
JÓNSSON ω0-GENERATED ALGEBRAIC FIELD EXTENSIONS (2012) (5)
On polynomial rings over a Hilbert ring. (1971) (5)
Ideals contracted from each extension ring (1979) (5)
A Counterexample to Two Conjectures in Ideal Theory (1967) (4)
R-endomorphisms of R[[X1,…, Xn]] (1977) (4)
Commutative monoid rings as Hilbert rings (1985) (4)
A Note on Semigroup Rings (1969) (4)
Polynomial rings over a commutative von Neumann regular ring (1975) (4)
Two questions concerning dimension sequences (1977) (3)
Coefficient rings in isomorphic semigroup rings (1985) (3)
The integral closure need not be a Prüfer domain (1974) (3)
Finite Intersections of Quotient Rings of a Dedekind Domain (1976) (3)
Principal ideal rings and a condition of Kummer (1983) (3)
The unique primary decomposition theorem in commutative rings without identity (1969) (3)
On solvability by radicals of field extensions (1972) (3)
Dimension theory of commutative polynomial rings (1975) (3)
On the heights of prime ideals under integral extensions (1989) (3)
An Intersection Condition for Prime Ideals (2017) (3)
Integrally closed subrings of an integral domain (1971) (3)
Hilbert subalgebras generated by monomials (1985) (3)
On R-homomorphisms of power series rings (1981) (3)
Forty Years of Commutative Ring Theory (2004) (3)
On complete integral closure and Archimedean valuation domains (1996) (2)
Residue Fields of Zero-Dimensional Rings (2)
Commutative rings with periodic multiplicative semigroup (1993) (2)
On the embedding of a commutative ring in a local ring (1999) (2)
Commutative Rings of Dimension 0 (2000) (2)
A Note on the Algebraic Closure of a Field (1968) (2)
Dimension theory of power series rings over a commutative ring (1975) (2)
Property E in Commutative Monoid Rings (1986) (2)
A New Criterion for Embeddability in a Zero‐Dimensional Commutative Ring (2019) (1)
A class of domains in which primary ideals are valuation ideals II (1967) (1)
Commutative Monoid Rings With Finite Maximal or Prime Spectrum (1986) (1)
On solvability by radicals of finite fields (1972) (1)
Fields that admit a nonlinear permutation polynomial (1989) (1)
Every local ring is dominated by a one-dimensional local ring (1997) (1)
Units of semigroup rings (1977) (1)
Principal Ideals in Noetherian Rings: 10534 (1999) (1)
Domains in which valuation ideals are prime powers (1966) (1)
Review: Gregory Karpilovsky, Unit groups of classical rings (1990) (1)
On the ideal class group of a flat overring (1981) (1)
Conditions Concerning Prime and Maximal Ideals of Commutative Monoid Rings (1986) (0)
Commutative Ring Domains (Abstracts of Mathematical Reports) (1963) (0)
On the Uniqueness of the ∗-Representation of an Ideal (1966) (0)
Elementary Problems: E2671-E2676 (1977) (0)
Zero Devisors in Commutative Rings (1986) (0)
A NOTE ON PR ¨UFER SEMISTAR MULTIPLICATION DOMAINS (2009) (0)
Advanced Problems: 6036-6041 (1975) (0)
On the irreducibility of pure difference binomials (1991) (0)
Invertible Matrices Modulo n: 10767 (2001) (0)
Associative Rings of Order p By (2021) (0)
On PIC(D[α]) For a Principal Ideal Domain D (1989) (0)
Overrings of Prüfer domains. II (1966) (0)
Lagrange resolvents (1972) (0)
Generating sets for a field as a ring extension of a subfield (1972) (0)
Rings, Modules, Algebras (2002) (0)
On Factorization of Polynomials Modulo n (1973) (0)
PRIME IDEALS OF FINITE HEIGHT IN POLYNOMIAL RINGS (2003) (0)
Power series over commutative rings,James W.Brewer (1982) (0)
An algebraic proof of a theorem of A. Robinson (1971) (0)
THE «-GENERATOR PROPERTY FOR COMMUTATIVE RINGS1 (2010) (0)
On a purely inseparable extension of a normal extension of a field (1974) (0)
A TWO-DIMENSIONAL NON-NOETHERIAN FACTORIAL RING 1 (2010) (0)
Modules that are finite sums of simple submodules (2022) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With R. W. Jr. Gilmer?

R. W. Jr. Gilmer is affiliated with the following schools:

Florida State University

R. W. Jr. Gilmer's Academic­Influence.com Rankings

R. W. Jr. Gilmer's Degrees

Why Is R. W. Jr. Gilmer Influential?

R. W. Jr. Gilmer's Published Works

Published Works

What Schools Are Affiliated With R. W. Jr. Gilmer?

R. W. Jr. Gilmer's AcademicInfluence.com Rankings