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Rush, David E.

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Author ID: rush.david-e Recent zbMATH articles by "Rush, David E."
Published as: Rush, D. E.; Rush, David; Rush, David E.
Documents Indexed: 84 Publications since 1971
Reviewing Activity: 81 Reviews

Publications by Year

Citations contained in zbMATH

62 Publications have been cited 431 times in 320 Documents Cited by Year
Two notes on reductions of ideals. Zbl 0368.13003
Ratliff, L. J. jun.; Rush, David E.
74
1978
Content modules and algebras. Zbl 0248.13013
Ohm, Jack; Rush, David E.
24
1972
Two-generated ideals and representations of Abelian groups over valuation rings. Zbl 0846.16023
Rush, David E.
23
1995
Rings with two-generated ideals. Zbl 0734.13010
Rush, David E.
19
1991
Projectively equivalent ideals and Rees valuations. Zbl 1059.13001
Ciuperca, Catalin; Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
17
2004
Strongly irreducible ideals of a commutative ring. Zbl 0996.13002
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
17
2002
Schreier rings. Zbl 0378.13003
McAdam, Stephen; Rush, David E.
17
1978
The finiteness of I when R\([X]\)/I is flat. Zbl 0256.13008
Ohm, Jack; Rush, David E.
17
1972
Associated prime ideals in non-Noetherian rings. Zbl 0562.13004
Iroz, Juana; Rush, David E.
13
1984
An arithmetic characterization of algebraic number fields with a given class group. Zbl 0522.12005
Rush, David E.
12
1983
Content algebras. Zbl 0441.13005
Rush, David
12
1978
Asymptotic primes and integral closure in modules. Zbl 0773.13002
Rush, David E.
11
1992
Seminormality. Zbl 0489.13007
Rush, David E.
11
1980
Projectively full ideals in noetherian rings. Zbl 1109.13016
Ciuperca, Catalin; Heinzer, William J.; Ratliff Jun, Louis J.; Rush, David E.
9
2006
Basically full ideals in local rings. Zbl 1048.13001
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
8
2002
Projectively full ideals in noetherian rings. II. Zbl 1109.13017
Ciuperca, Catalin; Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
7
2006
Noetherian properties in monoid rings. Zbl 1084.13007
Rush, David E.
7
2003
Picard groups in Abelian group rings. Zbl 0513.13002
Rush, David E.
7
1982
Projectively full radical ideals in integral extension rings. Zbl 1135.13003
Heinzer, William J.; Ratliff, Louis J. jun; Rush, David E.
6
2007
The conditions \(\text{Int}(R)\subseteq R_S[X]\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials. Zbl 0897.13022
Rush, David E.
6
1998
Note on Noetherian filtrations. Zbl 0691.13011
Bishop, Wayne; Petro, J. W.; Ratliff, L. J. jun.; Rush, D. E.
6
1989
Note on I-good filtration and noetherian Rees rings. Zbl 0641.13007
Ratliff, L. J. jun.; Rush, D. E.
6
1988
Notes on ideal covers and associated primes. Zbl 0373.13002
Ratliff, L. J. jun.; Rush, David E.
6
1977
Noetherian maximal spectrum and coprimely packed localizations of polynomial rings. Zbl 1013.13010
Rush, David E.; Wallace, Laura J.
5
2002
Finiteness in flat modules and algebras. Zbl 0289.13004
Cox, S. H. jun.; Rush, David E.
5
1974
Full ideals. Zbl 1171.13012
Hong, Jooyoun; Lee, Heisook; Noh, Sunsook; Rush, David E.
4
2009
Projective equivalence of ideals in noetherian integral domains. Zbl 1158.13008
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
4
2008
Projectively full ideals in noetherian rings. A survey. Zbl 1136.13003
Ciuperca, Catalin; Heinzer, William; Ratliff, Jack; Rush, David
4
2007
When graded domains are Schreier or pre-Schreier. Zbl 1099.13037
Brookfield, Gary; Rush, David E.
4
2005
Bezout domains with stable range 1. Zbl 1094.13531
Rush, David E.
4
2001
Commutative semigroup rings with two-generated ideals. Zbl 0767.13007
Okon, J. S.; Rush, David E.; Vicknair, Paul
4
1992
Pic\((R)\) and the \(R\)-flatness of \(R[X]/I\). Zbl 0442.13009
Rush, David E.
4
1979
On homogeneous prime spectra of certain Rees rings. Zbl 1177.13011
Ratliff, Louis J. jun.; Rush, David E.
3
2009
Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks. Zbl 1076.13002
Rush, David E.
3
2003
Two notes on homogeneous prime ideals in graded Noetherian rings. Zbl 1074.13500
Ratliff, L. J. jun.; Rush, David E.
3
2003
Monoidal extensions of a Cohen-Macaulay unique factorization domain. Zbl 0986.13006
Heinzer, William J.; Li, Aihua jun.; Ratliff, Louis J.; Rush, David E.
3
2002
Numbers of generators of ideals in zero-dimensional group rings. Zbl 0908.13011
Okon, J. S.; Rush, David E.; Vicknair, Paul
3
1997
Two-generated ideals in non-Noetherian semigroup rings. Zbl 0863.20031
Okon, J. S.; Rush, David E.; Vicknair, Paul
3
1996
\(\Delta\)-reductions of modules. Zbl 0783.13002
Ratliff, L. J. jun.; Rush, D. E.
3
1993
Torsionfree modules over one-dimensional Noetherian rings. Zbl 0657.13008
Rush, David E.
3
1988
Reductions of ideals in local rings with finite residue fields. Zbl 1189.13001
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
2
2010
Bases of ideals and Rees valuation rings. Zbl 1184.13015
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
2
2010
Rees valuations and asymptotic primes of rational powers in noetherian rings and lattices. Zbl 1119.13017
Rush, David E.
2
2007
Asymptotic primes of delta closures of ideals. Zbl 1007.13004
Ratliff, L. J. jun.; Rush, D. E.
2
2002
The Dedekind-Mertens lemma and the contents of polynomials. Zbl 0974.13007
Rush, David E.
2
2000
A bracket power characterization of analytic spread one ideals. Zbl 0936.13002
Ratliff, L. J. jun.; Rush, D. E.
2
2000
Triangular powers of integers from determinants of binomial coefficient matrices. Zbl 1057.11503
Ratliff, L. J. jun.; Rush, D. E.
2
1999
Superficial sets of elements for sets of ideals. Zbl 0695.13005
Mirbagheri, Ahmad; Ratliff, L. J. jun.; Rush, D. E.
2
1989
Generating ideals in rings of integer-valued polynomials. Zbl 0589.12002
Rush, David E.
2
1985
The G-function of MacRae. Zbl 0285.13005
Rush, David E.
2
1974
Endomorphisms of finite rank flat modules. Zbl 0238.13012
Cox, S. H. jun.; Rush, David E.
2
1972
The finiteness of I when R(X)/I is flat. Zbl 0221.13002
Ohm, Jack; Rush, David E.
2
1971
Strongly prime submodules, G-submodules and Jacobson modules. Zbl 1248.13016
Rush, David E.
1
2012
Compositions of consistent systems of rank one discrete valuation rings. Zbl 1204.13002
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
1
2010
Power integral bases for Selmer-like number fields. Zbl 1171.12002
Ratliff, Louis J. jun.; Rush, David E.; Shah, Kishor
1
2006
A Mori-Nagata theorem for lattices and graded rings. Zbl 1097.06014
Okon, J. S.; Rush, D. E.; Wallace, L. J.
1
2005
Primal decomposition in rings, modules and lattice modules. Zbl 1090.06012
Culhan, Dustin S.; Rush, David E.
1
2005
Numbers of generators of ideals in a group ring of an elementary Abelian \(p\)-group. Zbl 0946.13014
Okon, James S.; Rush, David E.; Vicknair, J. Paul
1
2000
Note on divisorial sets of elements for sets of ideals. Zbl 0729.13001
Mirbagheri, Ahmad; Ratliff, L. J. jun.; Rush, D. E.
1
1991
Reflexive D-rings. Zbl 0687.13013
Rush, David E.
1
1988
Big Cohen-Macaulay modules. Zbl 0473.13005
Rush, David E.
1
1980
Remarks on flat modules. Zbl 0347.13004
Rush, David E.
1
1977
Strongly prime submodules, G-submodules and Jacobson modules. Zbl 1248.13016
Rush, David E.
1
2012
Reductions of ideals in local rings with finite residue fields. Zbl 1189.13001
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
2
2010
Bases of ideals and Rees valuation rings. Zbl 1184.13015
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
2
2010
Compositions of consistent systems of rank one discrete valuation rings. Zbl 1204.13002
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
1
2010
Full ideals. Zbl 1171.13012
Hong, Jooyoun; Lee, Heisook; Noh, Sunsook; Rush, David E.
4
2009
On homogeneous prime spectra of certain Rees rings. Zbl 1177.13011
Ratliff, Louis J. jun.; Rush, David E.
3
2009
Projective equivalence of ideals in noetherian integral domains. Zbl 1158.13008
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
4
2008
Projectively full radical ideals in integral extension rings. Zbl 1135.13003
Heinzer, William J.; Ratliff, Louis J. jun; Rush, David E.
6
2007
Projectively full ideals in noetherian rings. A survey. Zbl 1136.13003
Ciuperca, Catalin; Heinzer, William; Ratliff, Jack; Rush, David
4
2007
Rees valuations and asymptotic primes of rational powers in noetherian rings and lattices. Zbl 1119.13017
Rush, David E.
2
2007
Projectively full ideals in noetherian rings. Zbl 1109.13016
Ciuperca, Catalin; Heinzer, William J.; Ratliff Jun, Louis J.; Rush, David E.
9
2006
Projectively full ideals in noetherian rings. II. Zbl 1109.13017
Ciuperca, Catalin; Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
7
2006
Power integral bases for Selmer-like number fields. Zbl 1171.12002
Ratliff, Louis J. jun.; Rush, David E.; Shah, Kishor
1
2006
When graded domains are Schreier or pre-Schreier. Zbl 1099.13037
Brookfield, Gary; Rush, David E.
4
2005
A Mori-Nagata theorem for lattices and graded rings. Zbl 1097.06014
Okon, J. S.; Rush, D. E.; Wallace, L. J.
1
2005
Primal decomposition in rings, modules and lattice modules. Zbl 1090.06012
Culhan, Dustin S.; Rush, David E.
1
2005
Projectively equivalent ideals and Rees valuations. Zbl 1059.13001
Ciuperca, Catalin; Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
17
2004
Noetherian properties in monoid rings. Zbl 1084.13007
Rush, David E.
7
2003
Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks. Zbl 1076.13002
Rush, David E.
3
2003
Two notes on homogeneous prime ideals in graded Noetherian rings. Zbl 1074.13500
Ratliff, L. J. jun.; Rush, David E.
3
2003
Strongly irreducible ideals of a commutative ring. Zbl 0996.13002
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
17
2002
Basically full ideals in local rings. Zbl 1048.13001
Heinzer, William J.; Ratliff, Louis J. jun.; Rush, David E.
8
2002
Noetherian maximal spectrum and coprimely packed localizations of polynomial rings. Zbl 1013.13010
Rush, David E.; Wallace, Laura J.
5
2002
Monoidal extensions of a Cohen-Macaulay unique factorization domain. Zbl 0986.13006
Heinzer, William J.; Li, Aihua jun.; Ratliff, Louis J.; Rush, David E.
3
2002
Asymptotic primes of delta closures of ideals. Zbl 1007.13004
Ratliff, L. J. jun.; Rush, D. E.
2
2002
Bezout domains with stable range 1. Zbl 1094.13531
Rush, David E.
4
2001
The Dedekind-Mertens lemma and the contents of polynomials. Zbl 0974.13007
Rush, David E.
2
2000
A bracket power characterization of analytic spread one ideals. Zbl 0936.13002
Ratliff, L. J. jun.; Rush, D. E.
2
2000
Numbers of generators of ideals in a group ring of an elementary Abelian \(p\)-group. Zbl 0946.13014
Okon, James S.; Rush, David E.; Vicknair, J. Paul
1
2000
Triangular powers of integers from determinants of binomial coefficient matrices. Zbl 1057.11503
Ratliff, L. J. jun.; Rush, D. E.
2
1999
The conditions \(\text{Int}(R)\subseteq R_S[X]\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials. Zbl 0897.13022
Rush, David E.
6
1998
Numbers of generators of ideals in zero-dimensional group rings. Zbl 0908.13011
Okon, J. S.; Rush, David E.; Vicknair, Paul
3
1997
Two-generated ideals in non-Noetherian semigroup rings. Zbl 0863.20031
Okon, J. S.; Rush, David E.; Vicknair, Paul
3
1996
Two-generated ideals and representations of Abelian groups over valuation rings. Zbl 0846.16023
Rush, David E.
23
1995
\(\Delta\)-reductions of modules. Zbl 0783.13002
Ratliff, L. J. jun.; Rush, D. E.
3
1993
Asymptotic primes and integral closure in modules. Zbl 0773.13002
Rush, David E.
11
1992
Commutative semigroup rings with two-generated ideals. Zbl 0767.13007
Okon, J. S.; Rush, David E.; Vicknair, Paul
4
1992
Rings with two-generated ideals. Zbl 0734.13010
Rush, David E.
19
1991
Note on divisorial sets of elements for sets of ideals. Zbl 0729.13001
Mirbagheri, Ahmad; Ratliff, L. J. jun.; Rush, D. E.
1
1991
Note on Noetherian filtrations. Zbl 0691.13011
Bishop, Wayne; Petro, J. W.; Ratliff, L. J. jun.; Rush, D. E.
6
1989
Superficial sets of elements for sets of ideals. Zbl 0695.13005
Mirbagheri, Ahmad; Ratliff, L. J. jun.; Rush, D. E.
2
1989
Note on I-good filtration and noetherian Rees rings. Zbl 0641.13007
Ratliff, L. J. jun.; Rush, D. E.
6
1988
Torsionfree modules over one-dimensional Noetherian rings. Zbl 0657.13008
Rush, David E.
3
1988
Reflexive D-rings. Zbl 0687.13013
Rush, David E.
1
1988
Generating ideals in rings of integer-valued polynomials. Zbl 0589.12002
Rush, David E.
2
1985
Associated prime ideals in non-Noetherian rings. Zbl 0562.13004
Iroz, Juana; Rush, David E.
13
1984
An arithmetic characterization of algebraic number fields with a given class group. Zbl 0522.12005
Rush, David E.
12
1983
Picard groups in Abelian group rings. Zbl 0513.13002
Rush, David E.
7
1982
Seminormality. Zbl 0489.13007
Rush, David E.
11
1980
Big Cohen-Macaulay modules. Zbl 0473.13005
Rush, David E.
1
1980
Pic\((R)\) and the \(R\)-flatness of \(R[X]/I\). Zbl 0442.13009
Rush, David E.
4
1979
Two notes on reductions of ideals. Zbl 0368.13003
Ratliff, L. J. jun.; Rush, David E.
74
1978
Schreier rings. Zbl 0378.13003
McAdam, Stephen; Rush, David E.
17
1978
Content algebras. Zbl 0441.13005
Rush, David
12
1978
Notes on ideal covers and associated primes. Zbl 0373.13002
Ratliff, L. J. jun.; Rush, David E.
6
1977
Remarks on flat modules. Zbl 0347.13004
Rush, David E.
1
1977
Finiteness in flat modules and algebras. Zbl 0289.13004
Cox, S. H. jun.; Rush, David E.
5
1974
The G-function of MacRae. Zbl 0285.13005
Rush, David E.
2
1974
Content modules and algebras. Zbl 0248.13013
Ohm, Jack; Rush, David E.
24
1972
The finiteness of I when R\([X]\)/I is flat. Zbl 0256.13008
Ohm, Jack; Rush, David E.
17
1972
Endomorphisms of finite rank flat modules. Zbl 0238.13012
Cox, S. H. jun.; Rush, David E.
2
1972
The finiteness of I when R(X)/I is flat. Zbl 0221.13002
Ohm, Jack; Rush, David E.
2
1971
all top 5

Cited by 274 Authors

41 Rush, David E.
27 Ratliff, Louis J. jun.
19 Heinzer, William J.
17 Olberding, Bruce M.
12 Picavet, Gabriel
8 Dumitrescu, Tiberiu
8 Gabelli, Stefania
8 Rossi, Maria Evelina
6 Anderson, David Fenimore
6 Ciuperca, Catalin
6 Okon, James S.
6 Vasconcelos, Wolmer V.
5 Al-Ayyoub, Ibrahim
5 Anderson, Daniel D.
5 Epstein, Neil
5 Mafi, Amir
5 Naghipour, Reza
5 Picozza, Giampaolo
5 Sangare, Daouda
5 Shah, Kishor
5 Shapiro, Jay Allen
5 Vassilev, Janet Cowden
4 Chapman, Scott Thomas
4 Debremaeker, Raymond
4 Dichi, Henri
4 Geroldinger, Alfred
4 Ozeki, Kazuho
4 Puthenpurakal, Tony J.
4 Smith, William W.
4 Vicknair, J. Paul
4 Zafrullah, Muhammad
3 Abuhlail, Jawad Y.
3 Ahmad, Zaheer
3 Bakkari, Chahrazade
3 Chang, Gyu Whan
3 Corso, Alberto
3 Glaz, Sarah
3 Goeters, Pat
3 Goto, Shiro
3 Guerrieri, Anna
3 Kabbaj, Salah-Eddine
3 Kim, Mee-Kyoung
3 Mahdou, Najib
3 McAdam, Stephen J.
3 Mimouni, Abdeslam
3 Mirbagheri, Ahmad
3 Picavet-L’Hermitte, Martine
3 Roitman, Moshe
3 Sedghi, Monireh
3 Valla, Giuseppe
3 Verma, Jugal Kishore
3 Wiegand, Roger Allen
2 Akéké, Eric Dago
2 Ameziane Hassani, Souâd
2 Azizi, Abdulrasool
2 Bazzoni, Silvana
2 Brookfield, Gary
2 Cortadellas Benítez, Teresa
2 Divaani-Aazar, Kamran
2 Duong Quôc Việt
2 Fuchs, László
2 Gilmer, Robert W. jun.
2 Gottlieb, Christian
2 Heitmann, Raymond C.
2 Huckaba, Sam
2 Kamano, Damase
2 Katz, Daniel
2 Kingsbury, Alan K.
2 Lequain, Yves
2 Leuschke, Graham J.
2 Loper, Kenneth Alan
2 Lu, Xinmin
2 Masuti, Shreedevi Kalyani
2 Mostafanasab, Hojjat
2 Naderi, Dler
2 Nasehpour, Peyman
2 Naudé, Cornelia
2 Nishida, Koji
2 Noh, Sunsook
2 Onoda, Nobuharu
2 Polini, Claudia
2 Sahandi, Parviz
2 Sarkar, Parangama
2 Schmid, Wolfgang Alexander
2 Sharp, Rodney Y.
2 Sugatani, Takasi
2 Swamy, U. Maddana
2 Tarizadeh, Abolfazl
2 Tartarone, Francesca
2 Tousi, Massoud
2 Trung, Dinh Thanh
2 Ulrich, Bernd
2 van Lierde, Veronique
2 Venkateswarlu, Bollineni
2 Werner, Nicholas J.
2 Yoshida, Ken-ichi
1 Abdoulaye, Assane
1 Ahmed, Malik Tusif
1 Al-Salihi, Sinan O. Ibrahim
1 Al-Zoubi, Khaldoun
...and 174 more Authors
all top 5

Cited in 60 Serials

79 Communications in Algebra
63 Journal of Algebra
40 Journal of Pure and Applied Algebra
17 Journal of Algebra and its Applications
10 Proceedings of the American Mathematical Society
9 Transactions of the American Mathematical Society
7 Rocky Mountain Journal of Mathematics
7 Journal of Commutative Algebra
6 Glasgow Mathematical Journal
5 Algebra Colloquium
4 Archiv der Mathematik
4 Nagoya Mathematical Journal
3 Asian-European Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Mathematische Zeitschrift
2 Michigan Mathematical Journal
2 Rendiconti del Seminario Matematico della Università di Padova
2 Semigroup Forum
2 Bulletin of the Korean Mathematical Society
2 International Journal of Algebra and Computation
2 Linear Algebra and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Afrika Matematika
1 Israel Journal of Mathematics
1 Mathematische Semesterberichte
1 Beiträge zur Algebra und Geometrie
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematica Scandinavica
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Ricerche di Matematica
1 Topology and its Applications
1 Systems & Control Letters
1 Journal of Symbolic Computation
1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Séminaire Lotharingien de Combinatoire
1 Algebras and Representation Theory
1 Acta Mathematica Sinica. English Series
1 Journal of the Australian Mathematical Society
1 JP Journal of Algebra, Number Theory and Applications
1 Algebra and Discrete Mathematics
1 Thai Journal of Mathematics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Frontiers of Mathematics in China
1 Arabian Journal of Mathematics
1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
1 Khayyam Journal of Mathematics
1 European Journal of Mathematics
1 Bollettino dell’Unione Matematica Italiana
1 Actes des Rencontres du C.I.R.M.

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