×

zbMATH — the first resource for mathematics

Dobbs, David Earl

Compute Distance To:
Author ID: dobbs.david-earl Recent zbMATH articles by "Dobbs, David Earl"
Published as: Dobbs, D. E.; Dobbs, David E; Dobbs, David E.; Dobbs, David Earl
External Links: MGP
Documents Indexed: 349 Publications since 1971, including 4 Books
all top 5

Co-Authors

143 single-authored
40 Fontana, Marco
31 Shapiro, Jay Allen
27 Anderson, David Fenimore
20 Picavet, Gabriel
13 Picavet-L’Hermitte, Martine
8 Ayache, Ahmed
8 Kabbaj, Salah-Eddine
8 Mullins, Bernadette
8 Papick, Ira J.
7 Coykendall, James
7 Lucas, Thomas George
6 Anderson, Daniel D.
6 Badawi, Ayman
6 Barucci, Valentina
6 Houston, Evan G. jun.
6 Zafrullah, Muhammad
5 Cahen, Paul-Jean
5 Hetzel, Andrew J.
4 Jarboui, Noômen
4 Lancaster, Mark J.
4 Mahdou, Najib
4 Mulay, Shashikant B.
4 Roitman, Moshe
3 Bouvier, Alain
3 Chatham, R. Douglas
3 Echi, Othman
3 Fedder, Richard
3 McConnel, Robert M.
3 Sahandi, Parviz
2 Arnold, Jimmy T.
2 Beauregard, Raymond A.
2 Condo, John T.
2 Eakin, Paul M. jun.
2 Huckaba, James A.
2 Irick, Brian C.
2 Khalis, Mohammed
2 Latham, Brett Kathleen
2 Matthews, Gretchen L.
1 Ameziane Hassani, Souâd
1 Bouchiba, Samir
1 Bullington, Grady D.
1 Bumby, Richard T.
1 Chabert, Jean-Luc
1 Costa, Douglas L.
1 Croot, Ernest S. III
1 Dawson, Jeffrey D.
1 Dietz, Geoffrey D.
1 Eastham, Jerome F. jun.
1 El Khalfi, Abdelhaq
1 Friedlander, John Benjamin
1 Gilbert, Michael S.
1 Hanks, Robert
1 Heinzer, William J.
1 Heitmann, Raymond C.
1 Ishikawa, Takeshi
1 Ismaili, Karima Alaoui
1 Johnson, Laura E.
1 Kilbourn, Timothy P.
1 Kiltinen, John O.
1 Levy, Ronald M.
1 Mott, Joe Leonard
1 Orndorff, Bobby J.
1 Pappalardi, Francesco
1 Rosen, Michael I.
1 Rosenstein, Joseph G.
1 Smith, Harold Justin
1 Sobrani, Mohamed
1 Sundberg, Carl-Erik W.
1 Tartarone, Francesca
1 Varucci, Valentina
1 Wang, Stuart Sui-Sheng
1 Zarestky, Jill L.
all top 5

Serials

42 Communications in Algebra
25 Houston Journal of Mathematics
20 International Journal of Mathematical Education in Science and Technology
13 Canadian Mathematical Bulletin
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
11 Journal of Algebra and its Applications
10 Palestine Journal of Mathematics
9 Bulletin of the Australian Mathematical Society
8 Archiv der Mathematik
8 Canadian Journal of Mathematics
8 International Journal of Mathematics and Mathematical Sciences
8 Journal of Algebra
8 Comptes Rendus Mathématiques de l’Académie des Sciences
8 Far East Journal of Mathematical Sciences
8 International Electronic Journal of Algebra (IEJA)
7 Proceedings of the American Mathematical Society
7 JP Journal of Algebra, Number Theory and Applications
7 Far East Journal of Mathematical Education
6 Journal of Pure and Applied Algebra
6 Kyungpook Mathematical Journal
5 Rocky Mountain Journal of Mathematics
5 International Journal of Commutative Rings
4 Pacific Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Commentarii Mathematici Universitatis Sancti Pauli
3 Mathematical Journal of Okayama University
3 Portugaliae Mathematica
3 Tamkang Journal of Mathematics
3 Tsukuba Journal of Mathematics
2 Mathematics Magazine
2 Indian Journal of Mathematics
2 Mathematica Japonica
2 Results in Mathematics
2 Ricerche di Matematica
2 Semigroup Forum
2 Tokyo Journal of Mathematics
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Bulletin of the Allahabad Mathematical Society
2 Elemente der Mathematik
2 Expositiones Mathematicae
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Annales Mathématiques Blaise Pascal
2 International Journal of Mathematics, Game Theory and Algebra
2 Lecture Notes in Pure and Applied Mathematics
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Advances in Mathematics
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Journal of Number Theory
1 Manuscripta Mathematica
1 Mathematica Scandinavica
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Rendiconti del Seminario Matematico della Università di Padova
1 Applied Mathematics Letters
1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques
1 Nieuw Archief voor Wiskunde. Derde Serie
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 Portugaliae Mathematica. Nova Série
1 Mathematical Reports
1 Mediterranean Journal of Mathematics
1 Journal of Commutative Algebra
1 Gulf Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

215 Publications have been cited 1,608 times in 739 Documents Cited by Year
Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains. Zbl 0868.13003
Barucci, Valentina; Dobbs, David E.; Fontana, Marco
116
1997
Pairs of rings with the same prime ideals. Zbl 0406.13001
Anderson, David F.; Dobbs, David E.
84
1980
t-linked overrings and Prüfer v-multiplication domains. Zbl 0691.13015
Dobbs, David E.; Houston, Evan G.; Lucas, Thomas G.; Zafrullah, Muhammad
67
1989
Divided rings and going-down. Zbl 0326.13002
Dobbs, David E.
53
1976
Ogoing down for simple overrings. II. Zbl 0285.13001
Dobbs, David E.
48
1974
Conducive integral domains. Zbl 0531.13002
Dobbs, David E.; Fedder, Richard
39
1984
Universally catenarian integral domains. Zbl 0695.13014
Bouvier, Alain; Dobbs, David E.; Fontana, Marco
37
1988
On Jaffard domains. Zbl 0657.13011
Anderson, David F.; Bouvier, Alain; Dobbs, David E.; Fontana, Marco; Kabbaj, Salah
34
1988
On \(t\)-linked overrings. Zbl 0791.13005
Dobbs, David E.; Houston, Evan G.; Lucas, Thomas G.; Roitman, Moshe; Zafrullah, Muhammad
30
1992
Characterizing the ring extensions that satisfy FIP or FCP. Zbl 1271.13022
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
28
2012
Locally pseudo-valuation domains. Zbl 0531.13012
Dobbs, David E.; Fontana, Marco
28
1983
On the FIP property for extensions of commutative rings. Zbl 1120.13009
Dobbs, David E.; Mullins, Bernadette; Picavet, Gabriel; Picavet-L’Hermitte, Martine
26
2005
Coherent Mori domains and the principal ideal theorem. Zbl 0622.13007
Barucci, Valentina; Anderson, David F.; Dobbs, David E.
26
1987
On going down for simple overrings. III. Zbl 0285.13002
Dobbs, David E.; Papick, Ira J.
25
1976
Lying-over pairs of commutative rings. Zbl 0466.13002
Dobbs, David E.
24
1981
On INC-extensions and polynomials with unit content. Zbl 0432.13007
Dobbs, David E.
24
1980
Every commutative ring has a minimal ring extension. Zbl 1110.13005
Dobbs, David E.
22
2006
The primitive element theorem for commutative algebras. Zbl 0999.13003
Anderson, D. D.; Dobbs, D. E.; Mullins, Bernadette
22
2002
Kronecker function rings and abstract Riemann surfaces. Zbl 0597.13004
Dobbs, David E.; Fontana, Marco
22
1986
A classification of the minimal ring extensions of certain commutative rings. Zbl 1118.13004
Dobbs, David E.; Shapiro, Jay
19
2007
Abstract Riemann surfaces of integral domains and spectral spaces. Zbl 0646.13008
Dobbs, David E.; Fedder, Richard; Fontana, Marco
19
1987
Universally going-down homomorphisms of commutative rings. Zbl 0544.13004
Dobbs, David E.; Fontana, Marco
17
1984
On seminormal overrings. Zbl 0496.13001
Anderson, David F.; Dobbs, David E.; Huckaba, James A.
17
1982
Coherence, ascent of going-down, and pseudo-valuation domains. Zbl 0388.13002
Dobbs, David E.
17
1978
A classification of the minimal ring extensions of an integral domain. Zbl 1107.13010
Dobbs, David E.; Shapiro, Jay
15
2006
On locally divided integral domains and CPI-overrings. Zbl 0457.13005
Dobbs, David E.
15
1981
When is D + M coherent? Zbl 0329.13014
Dobbs, David E.; Papick, Ira J.
15
1976
On integral domains with no atoms. Zbl 0990.13015
Coykendall, Jim; Dobbs, David E.; Mullins, Bernadette
14
1999
Going down: A survey. Zbl 0383.13005
Dobbs, David E.; Papick, Ira J.
14
1978
On going down for simple overrings. Zbl 0238.13019
Dobbs, David E.
14
1973
\(n\)-coherent rings and modules. Zbl 0947.13011
Dobbs, David E.; Kabbaj, Salah-Eddine; Mahdou, Najib
13
1997
On going down in polynomial rings. Zbl 0242.13015
Dawson, Jeffrey; Dobbs, David E.
13
1974
On a question of Wilf concerning numerical semigroups. Zbl 1165.13300
Dobbs, David E.; Matthews, Gretchen L.
12
2003
On the lengths of maximal chains of intermediate fields in a field extension. Zbl 0995.12003
Dobbs, David E.; Mullins, Bernadette
12
2001
Conducive integral domains as pullbacks. Zbl 0585.13013
Barucci, Valentina; Dobbs, David E.; Fontana, Marco
12
1985
On intersections and composites of minimal ring extensions. Zbl 1267.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine; Shapiro, Jay
11
2012
When is \(D+M\) \(n\)-coherent and an \((n,d)\)-domain? Zbl 0977.13006
Dobbs, David E.; Kabbaj, Salah-Eddine; Mahdou, Najib; Sobrani, Mohamed
11
1999
On \(t\)-Spec\((R[[X]])\). Zbl 0847.13005
Dobbs, David E.; Houston, Evan G.
11
1995
Universally going-down integral domains. Zbl 0526.13007
Dobbs, David E.; Fontana, Marco
11
1984
Transfer results for the FIP and FCP properties of ring extensions. Zbl 1317.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
10
2015
On maximal non-ACCP subrings. Zbl 1154.13007
Ayache, Ahmed; Dobbs, David E.; Echi, Othman
10
2007
Pseudo-valuation rings. Zbl 0880.13011
Badawi, Ayman; Anderson, David F.; Dobbs, David E.
10
1997
On treed Nagata rings. Zbl 0691.13005
Anderson, David F.; Dobbs, David E.; Fontana, Marco
10
1989
Universally incomparable ring-homomorphisms. Zbl 0535.13006
Dobbs, David E.; Fontana, Marco
10
1984
On chain conditions in integral domains. Zbl 0513.13005
Barucci, Valentina; Dobbs, David E.
10
1984
On the flat spectral topology. Zbl 0483.14001
Dobbs, David E.; Fontana, Marco; Papick, Ira J.
10
1981
On certain distinguished spectral sets. Zbl 0472.54021
Dobbs, David E.; Fontana, Marco; Papick, Ira J.
10
1981
Going-down rings with zero-divisors. Zbl 0896.13006
Dobbs, David E.
9
1997
Ascent and descent of going-down rings for integral extensions. Zbl 0327.13007
Dobbs, David E.
9
1976
On the commutative rings with at most two proper subrings. Zbl 1441.13019
Dobbs, David E.
8
2016
Characterizing minimal ring extensions. Zbl 1237.13018
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
8
2011
Normal pairs with zero-divisors. Zbl 1221.13012
Dobbs, David E.; Shapiro, Jay
8
2011
Valuative domains. Zbl 1191.13009
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
8
2010
On locally divided rings and going-down rings. Zbl 1104.13301
Badawi, Ayman; Dobbs, David E.
8
2001
On the generalized principal ideal theorem and Krull domains. Zbl 0746.13007
Anderson, David F.; Dobbs, David E.; Eakin, Paul M. jun.; Heinzer, William J.
8
1990
Flatness, LCM-stability, and related module-theoretic properties. Zbl 0666.13006
Anderson, D. D.; Dobbs, David E.
8
1988
Two sufficient conditions for universal catenarity. Zbl 0638.13015
Bouvier, Alain; Dobbs, David E.; Fontana, Marco
8
1987
On the strong \((A)\)-rings of Mahdou and Hassani. Zbl 1278.13002
Dobbs, David E.; Shapiro, Jay
7
2013
The singly generated unital rings with only finitely many unital subrings. Zbl 1149.13015
Dobbs, David E.; Mullins, Bernadette; Picavet-L’Hermitte, Martine
7
2008
On the prime ideal structure of tensor products of algebras. Zbl 1056.13010
Bouchiba, Samir; Dobbs, David E.; Kabbaj, Salah-Eddine
7
2002
A going-up theorem for arbitrary chains of prime ideals. Zbl 0969.13004
Dobbs, David E.
7
1999
Formal power series rings over zero-dimensional SFT-rings. Zbl 0856.13017
Condo, John T.; Coykendall, Jim; Dobbs, David E.
7
1996
Universally catenarian domains of \(D+M\) type. Zbl 0691.13012
Anderson, David F.; Dobbs, David E.; Kabbaj, Salah; Mulay, S. B.
7
1988
On treed overrings and going-down domains. Zbl 0683.13003
Dobbs, David E.
7
1987
On pseudo-valuation domains and their globalizations. Zbl 0501.13006
Dobbs, David E.; Fontana, Marco
7
1983
A modern course on the theory of equations. Zbl 0454.12008
Dobbs, David E.; Hanks, Robert
7
1980
Certain towers of ramified minimal ring extensions of commutative rings. Zbl 1402.13011
Dobbs, David E.
6
2018
When only finitely many intermediate rings result from juxtaposing two minimal ring extensions. Zbl 1354.13015
Dobbs, David E.; Shapiro, Jay
6
2016
Root closure in commutative rings. Zbl 0735.13004
Anderson, David F.; Dobbs, David E.; Roitman, Moshe
6
1990
Seminormal rings generated by algebraic integers. Zbl 0619.13002
Dobbs, David E.; Fontana, Marco
6
1987
On the criteria of D. D. Anderson for invertible and flat ideals. Zbl 0591.13006
Dobbs, David E.
6
1986
Some finiteness and divisibility conditions on the proper overrings of an integral domain. Zbl 0535.13005
Anderson, D. D.; Anderson, David F.; Dobbs, David E.; Houston, Evan G.
6
1984
Strong ring extensions and pseudo-valuation domains. Zbl 0503.13001
Dobbs, David E.; Fontana, Marco; Huckaba, James A.; Papick, Ira J.
6
1982
On the global dimensions of D+M. Zbl 0335.13008
Dobbs, David E.
6
1975
Generalized going-down homomorphisms of commutative rings. Zbl 1069.13007
Dobbs, David E.; Fontana, Marco; Picavet, Gabriel
5
2003
Direct limits of Jaffard domains and S-domains. Zbl 0724.13018
Dobbs, David E.; Fontana, Marco; Kabbaj, Salah
5
1990
On the weak global dimension of pseudovaluation domains. Zbl 0383.13001
Dobbs, David E.
5
1978
On a class of archimedean integral domains. Zbl 0337.13016
Beauregard, Raymond A.; Dobbs, David E.
5
1976
When the juxtaposition of two minimal ring extensions produces no new intermediate rings. Zbl 1354.13014
Dobbs, David E.
4
2017
On semistar Nagata rings, Prüefer-like domains and semistar going-down domains. Zbl 1234.13021
Dobbs, David E; Sahandi, Parviz
4
2011
Numerical semigroups whose fractions are of maximal embedding dimension. Zbl 1236.20060
Dobbs, David E.; Smith, Harold J.
4
2011
On the maximal cardinality of chains of intermediate rings. Zbl 1161.13302
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
4
2009
A characterization of the commutative unital rings with only finitely many unital subrings. Zbl 1173.13008
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
4
2008
Universal lying-over rings. Zbl 1154.13002
Dobbs, David E.; Shapiro, Jay
4
2008
A sufficient condition for a minimal ring extension to be an overring. Zbl 1114.13004
Dobbs, David E.
4
2007
On the prime spectrum, Krull dimension and catenarity of integral domains of the form \(A+ XB[[X]]\). Zbl 1088.13508
Dobbs, David E.; Khalis, Mohammed
4
2001
Binary Egyptian fractions. Zbl 0961.11015
Croot, Ernest S. III; Dobbs, David E.; Friedlander, John B.; Hetzel, Andrew J.; Pappalardi, Francesco
4
2000
Pseudo-valuation rings. II. Zbl 0972.13003
Anderson, David F.; Badawi, Ayman; Dobbs, David E.
4
2000
Catenarity of formal power series rings over a pullback. Zbl 0771.13011
Anderson, David F.; Dobbs, David E.; Fontana, Marco; Khalis, Mohammed
4
1992
On n-flat modules over a commutative ring. Zbl 0724.13010
Dobbs, David E.
4
1991
\(t\)-linked overrings as intersections of localizations. Zbl 0739.13008
Dobbs, David E.; Houston, Evan G.; Lucas, Thomas G.; Zafrullah, Muhammad
4
1990
Going-down underrings. Zbl 0619.13004
Dobbs, David E.
4
1987
On the product of ideals. Zbl 0468.13013
Anderson, David F.; Dobbs, David E.
4
1983
Direct limits and going-down. Zbl 0501.13001
Dobbs, David E.; Fontana, Marco; Papick, Ira J.
4
1982
The Ferrand-Olivier classification of the minimal ring extensions of a field: a proof and a survey of its influence. Zbl 1423.13057
Dobbs, David E.
3
2018
On the number of intermediate rings when a decomposed extension lies atop a ramified extension. Zbl 1393.13018
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
3
2018
Corrigendum to: “When the juxtaposition of two minimal ring extensions produces no new intermediate rings”. Zbl 1375.13010
Dobbs, David E.
3
2018
On triangles with the same area. Zbl 1384.51007
Dobbs, David E.
3
2017
Valuative pairs of commutative rings. Zbl 1338.13014
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
3
2015
Normal pairs of going-down rings. Zbl 1234.13010
Dobbs, David Earl; Shapiro, Jay Allen
3
2011
A minimal ring extension of a large finite local prime ring is probably ramified. Zbl 1440.13044
Dobbs, David E.
2
2020
Characterizing finite fields via minimal ring extensions. Zbl 1427.13006
Dobbs, David E.
2
2019
On the number of intermediate rings when a decomposed extension lies atop a ramified extension. II. Zbl 1412.13012
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
1
2019
Certain towers of ramified minimal ring extensions of commutative rings. Zbl 1402.13011
Dobbs, David E.
6
2018
The Ferrand-Olivier classification of the minimal ring extensions of a field: a proof and a survey of its influence. Zbl 1423.13057
Dobbs, David E.
3
2018
On the number of intermediate rings when a decomposed extension lies atop a ramified extension. Zbl 1393.13018
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
3
2018
Corrigendum to: “When the juxtaposition of two minimal ring extensions produces no new intermediate rings”. Zbl 1375.13010
Dobbs, David E.
3
2018
When the juxtaposition of two minimal ring extensions produces no new intermediate rings. Zbl 1354.13014
Dobbs, David E.
4
2017
On triangles with the same area. Zbl 1384.51007
Dobbs, David E.
3
2017
Commutative rings with a prescribed number of isomorphism classes of minimal ring extensions. Zbl 1396.13006
Dobbs, David E.
1
2017
On sums and products of primitive elements. Zbl 1360.13026
Dobbs, David E.; Houston, Evan
1
2017
On the commutative rings with at most two proper subrings. Zbl 1441.13019
Dobbs, David E.
8
2016
When only finitely many intermediate rings result from juxtaposing two minimal ring extensions. Zbl 1354.13015
Dobbs, David E.; Shapiro, Jay
6
2016
Transfer results for the FIP and FCP properties of ring extensions. Zbl 1317.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
10
2015
Valuative pairs of commutative rings. Zbl 1338.13014
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
3
2015
Finite maximal chains of commutative rings. Zbl 1310.13012
Ayache, Ahmed; Dobbs, David E.
2
2015
When an extension of Nagata rings has only finitely many intermediate rings, each of those is a Nagata ring. Zbl 07122610
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
2
2014
Characterizations of the integral domains whose overrings are going-down domains. Zbl 1306.13005
Ayache, Ahmed; Dobbs, David E.
2
2014
On a new class of integral domains with the portable property. Zbl 1327.13085
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
1
2014
Realizing infinite cardinal numbers via maximal chains of intermediate fields. Zbl 1332.12009
Dobbs, David E.; Heitmann, Raymond C.
1
2014
On seminormal integral domains with treed overrings. Zbl 1294.13010
Dobbs, David E.
1
2014
Pseudo-normal pairs of integral domains. Zbl 1297.13029
Dobbs, David E.; Shapiro, Jay
1
2014
On the strong \((A)\)-rings of Mahdou and Hassani. Zbl 1278.13002
Dobbs, David E.; Shapiro, Jay
7
2013
On the maximal cardinality of an infinite chain of vector subspaces. Zbl 1294.15003
Dobbs, David E.
1
2013
Using infinite series and complex numbers to derive formulas involving Laplace transforms. Zbl 1293.97052
Dobbs, David E.
1
2013
A universal survival ring of continuous functions which is not a universal lying-over ring. Zbl 1279.13016
Dobbs, David E.; Levy, Ronald; Shapiro, Jay
1
2013
Characterizing the ring extensions that satisfy FIP or FCP. Zbl 1271.13022
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
28
2012
On intersections and composites of minimal ring extensions. Zbl 1267.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine; Shapiro, Jay
11
2012
Finitely valuative domains. Zbl 1260.13013
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
2
2012
On bowtie rings, universal survival rings and universal lying-over rings. Zbl 1263.13005
Dobbs, David E.; Shapiro, Jay
2
2012
On infinite chains of intermediate fields. Zbl 1258.12002
Dobbs, David E.
1
2012
On finite maximal chains of weak Baer going-down rings. Zbl 1248.13013
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
1
2012
On rank and nullity. Zbl 1273.97032
Dobbs, David E.
1
2012
Characterizing minimal ring extensions. Zbl 1237.13018
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
8
2011
Normal pairs with zero-divisors. Zbl 1221.13012
Dobbs, David E.; Shapiro, Jay
8
2011
On semistar Nagata rings, Prüefer-like domains and semistar going-down domains. Zbl 1234.13021
Dobbs, David E; Sahandi, Parviz
4
2011
Numerical semigroups whose fractions are of maximal embedding dimension. Zbl 1236.20060
Dobbs, David E.; Smith, Harold J.
4
2011
Normal pairs of going-down rings. Zbl 1234.13010
Dobbs, David Earl; Shapiro, Jay Allen
3
2011
A generalization of Prüfer’s ascent result to normal pairs of complemented rings. Zbl 1236.13007
Dobbs, David E.; Shapiro, Jay
2
2011
Universal quasi-lying-over rings. Zbl 1221.13013
Dobbs, David E.; Shapiro, Jay
1
2011
Valuative domains. Zbl 1191.13009
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
8
2010
Patching together a minimal overring. Zbl 1220.13005
Dobbs, David E.; Shapiro, Jay
2
2010
On purity and related universal properties of extensions of commutative rings. Zbl 1216.13002
Dobbs, David E.
1
2010
INC-extensions amid zero-divisors. Zbl 1193.13006
Dobbs, David E.; Shapiro, Jay
1
2010
On the maximal cardinality of chains of intermediate rings. Zbl 1161.13302
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
4
2009
When is a pullback a locally divided domain? Zbl 1173.13023
Dobbs, David E.
3
2009
Going-down and semistar operations. Zbl 1173.13024
Dobbs, David E.; Sahandi, Parviz
3
2009
Straight rings. Zbl 1159.13012
Dobbs, David E.; Picavet, Gabriel
3
2009
Extensions of integral domains with infinite chains of intermediate rings. Zbl 1159.13011
Dobbs, David E.
3
2009
Recent progress on minimal ring extensions and related concepts. Zbl 1378.13004
Dobbs, David E.
2
2009
Straight rings. II. Zbl 1177.13019
Dobbs, David E.; Picavet, Gabriel
2
2009
A generalization of divided domains and its connection to weak Baer going-down rings. Zbl 1200.13017
Dobbs, David E.; Shapiro, Jay
2
2009
On almost-divided domains. Zbl 1187.13020
Dobbs, David E.; Picavet, Gabriel
1
2009
On characterizations of integrality involving the lying-over and incomparable properties. Zbl 1184.13023
Dobbs, D. E.
1
2009
The singly generated unital rings with only finitely many unital subrings. Zbl 1149.13015
Dobbs, David E.; Mullins, Bernadette; Picavet-L’Hermitte, Martine
7
2008
A characterization of the commutative unital rings with only finitely many unital subrings. Zbl 1173.13008
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
4
2008
Universal lying-over rings. Zbl 1154.13002
Dobbs, David E.; Shapiro, Jay
4
2008
Pseudo-almost valuation domains are quasilocal going-down domains, but not conversely. Zbl 1164.13003
Dobbs, David E.
2
2008
A classification of the minimal ring extensions of certain commutative rings. Zbl 1118.13004
Dobbs, David E.; Shapiro, Jay
19
2007
On maximal non-ACCP subrings. Zbl 1154.13007
Ayache, Ahmed; Dobbs, David E.; Echi, Othman
10
2007
A sufficient condition for a minimal ring extension to be an overring. Zbl 1114.13004
Dobbs, David E.
4
2007
Transfer of Krull dimension, lying-over, and going-down to the fixed ring. Zbl 1121.13009
Dobbs, David E.; Shapiro, Jay
2
2007
Pairs of commutative rings in which all intermediate rings have the same dimension. Zbl 1136.13002
Chatham, R. Douglas; Dobbs, David E.
1
2007
Descent of minimal overrings of integrally closed domains to fixed rings. Zbl 1114.13008
Dobbs, David E.; Shapiro, Jay
1
2007
Every commutative ring has a minimal ring extension. Zbl 1110.13005
Dobbs, David E.
22
2006
A classification of the minimal ring extensions of an integral domain. Zbl 1107.13010
Dobbs, David E.; Shapiro, Jay
15
2006
Descent of divisibility properties of integral domains to fixed rings. Zbl 1109.13004
Dobbs, David E.; Shapiro, Jay
3
2006
Strong ring extensions and \(\varphi\)-pseudo-valuation rings. Zbl 1095.13017
Badawi, Ayman; Dobbs, David E.
2
2006
Reflection of some quasi-local domains. Zbl 1099.13036
Ayache, Ahmed; Dobbs, David E.; Echi, Othman
1
2006
On the FIP property for extensions of commutative rings. Zbl 1120.13009
Dobbs, David E.; Mullins, Bernadette; Picavet, Gabriel; Picavet-L’Hermitte, Martine
26
2005
Going-down implies generalized going-down. Zbl 1103.13008
Dobbs, David E.; Hetzel, Andrew J.
2
2005
On open ring pairs of commutative rings. Zbl 1101.13009
Chatham, R. Douglas; Dobbs, David E.
2
2005
A field-theoretic invariant for domains. Zbl 1181.13005
Dobbs, David E.
1
2005
On strong going-between, going-down, and their universalizations. Zbl 1069.13008
Dobbs, David E.; Picavet, Gabriel
3
2004
On a field-theoretic invariant for extensions of commutative rings. Zbl 1070.13008
Dobbs, David E.; Mullins, Bernadette
2
2004
Almost integrally closed domains. Zbl 1064.13006
Dobbs, David E.; Shapiro, Jay
1
2004
On a question of Wilf concerning numerical semigroups. Zbl 1165.13300
Dobbs, David E.; Matthews, Gretchen L.
12
2003
Generalized going-down homomorphisms of commutative rings. Zbl 1069.13007
Dobbs, David E.; Fontana, Marco; Picavet, Gabriel
5
2003
On the strong going-between and generalized going-down properties of ring homomorphisms. Zbl 1120.13011
Dobbs, David E.
3
2003
Survival-pairs of commutative rings have the lying-over property. Zbl 1048.13005
Coykendall, Jim; Dobbs, David E.
3
2003
Weak Baer going-down rings. Zbl 1036.13008
Dobbs, David E.; Picavet, Gabriel
2
2003
The primitive element theorem for commutative algebras. Zbl 0999.13003
Anderson, D. D.; Dobbs, D. E.; Mullins, Bernadette
22
2002
On the prime ideal structure of tensor products of algebras. Zbl 1056.13010
Bouchiba, Samir; Dobbs, David E.; Kabbaj, Salah-Eddine
7
2002
On pseudo-valuation domains whose overrings are going-down domains. Zbl 1059.13004
Chatham, R. Douglas; Dobbs, David E.
2
2002
\(G\)-domain pairs. Zbl 1072.13012
Dobbs, David E.
1
2002
On the lengths of maximal chains of intermediate fields in a field extension. Zbl 0995.12003
Dobbs, David E.; Mullins, Bernadette
12
2001
On locally divided rings and going-down rings. Zbl 1104.13301
Badawi, Ayman; Dobbs, David E.
8
2001
On the prime spectrum, Krull dimension and catenarity of integral domains of the form \(A+ XB[[X]]\). Zbl 1088.13508
Dobbs, David E.; Khalis, Mohammed
4
2001
Fragmented domains have infinite Krull dimension. Zbl 1172.13311
Coykendall, Jim; Dobbs, David E.
1
2001
Residually FIP extensions of commutative rings. Zbl 1021.13004
Anderson, D. D.; Dobbs, David E.
1
2001
Some examples of locally divided rings. Zbl 1037.13006
Badawi, Ayman; Dobbs, David E.
1
2001
On comparing two chains of numerical semigroups and detecting Arf semigroups. Zbl 0987.20037
Dobbs, David E.; Matthews, Gretchen L.
1
2001
Binary Egyptian fractions. Zbl 0961.11015
Croot, Ernest S. III; Dobbs, David E.; Friedlander, John B.; Hetzel, Andrew J.; Pappalardi, Francesco
4
2000
Pseudo-valuation rings. II. Zbl 0972.13003
Anderson, David F.; Badawi, Ayman; Dobbs, David E.
4
2000
On the prime ideals in a commutative ring. Zbl 0977.13001
Dobbs, David E.
3
2000
On locally divided domains of the form Int(\(D\)). Zbl 0995.13004
Cahen, Paul-Jean; Chabert, Jean-Luc; Dobbs, David E.; Tartarone, Francesca
3
2000
When is an ordered field a metric space? Zbl 1065.12003
Dobbs, David E.
1
2000
Lifting chains of prime ideals to paravaluation rings. Zbl 0962.13020
Dobbs, David E.
1
2000
Corrigendum: A going-up theorem for arbitrary chains of prime ideals. Zbl 0969.13005
Dobbs, David E.
1
2000
On integral domains with no atoms. Zbl 0990.13015
Coykendall, Jim; Dobbs, David E.; Mullins, Bernadette
14
1999
...and 115 more Documents
all top 5

Cited by 413 Authors

123 Dobbs, David Earl
45 Fontana, Marco
33 Rosales, José Carlos
27 Mimouni, Abdeslam
26 Jarboui, Noômen
26 Picavet, Gabriel
24 Houston, Evan G. jun.
23 Ayache, Ahmed
23 Zafrullah, Muhammad
22 Kabbaj, Salah-Eddine
22 Mahdou, Najib
21 Chang, Gyu Whan
20 Picavet-L’Hermitte, Martine
19 Park, Mi Hee
17 Anderson, David Fenimore
16 Spirito, Dario
15 Anderson, Daniel D.
15 Bouchiba, Samir
15 Shapiro, Jay Allen
14 García Sánchez, Pedro A.
14 Lucas, Thomas George
13 Gabelli, Stefania
13 Kim, Hwankoo
12 Barucci, Valentina
12 Branco, Manuel Batista
12 Cahen, Paul-Jean
11 Ben Nasr, Mabrouk
11 Wang, Fanggui
10 Finocchiaro, Carmelo Antonio
10 Kang, Byung Gyun
9 Benhissi, Ali
9 Echi, Othman
9 El Baghdadi, Said
9 Geroldinger, Alfred
9 Picozza, Giampaolo
9 Sahandi, Parviz
8 Badawi, Ayman
8 Coykendall, James
8 Dumitrescu, Tiberiu
8 Roitman, Moshe
7 Hizem, Sana
7 Jaballah, Ali
6 D’Anna, Marco
6 Loper, Kenneth Alan
6 Papick, Ira J.
6 Visweswaran, Subramanian
5 Azarang, Alborz
5 Bras-Amorós, Maria
5 García García, Juan Ignacio
5 Karakas, Halil Ibrahim
5 Khalifa, Mohamed
5 Robles-Pérez, Aureliano M.
5 Torrão, Denise
5 Vasco, Paulo J. M.
4 Blanco, Víctor
4 El Khalfi, Abdelhaq
4 Elliott, Jesse
4 Gotti, Felix
4 Herzinger, Kurt
4 Hetzel, Andrew J.
4 Lim, Jung Wook
4 Micale, Vincenzo
4 Mullins, Bernadette
4 Olberding, Bruce M.
4 O’Neill, Christopher
4 Rosales, Juan Carlos
4 Strazzanti, Francesco
4 Tartarone, Francesca
4 Zarzuela, Santiago
4 Zeidi, Nabil
3 Bouvier, Alain
3 Bryant, Lance
3 Bullington, Grady D.
3 Delgado, Manuel
3 El-Arabi, Mouhssine
3 El Islam Toumi, Manar
3 Epstein, Neil
3 Fedder, Richard
3 Fröberg, Ralf
3 Gaur, Atul
3 Girolami, Florida
3 Hamblin, James
3 Holcomb, Trae
3 Izelgue, Lahoucine
3 Jafari, Raheleh
3 Karamzadeh, Omid Ali Shahni
3 Kumar, Rahul
3 Moscariello, Alessio
3 Mott, Joe Leonard
3 Mouanis, Hakima
3 Mulay, Shashikant B.
3 Oh, Dong Yeol
3 Oneto, Anna
3 Sammartano, Alessio
3 Sarussi, Shai
3 Toan, Phan Thanh
3 Tousi, Massoud
3 Trabelsi, Salma
3 Tutaş, Nesrin
3 Watanabe, Kei-ichi
...and 313 more Authors
all top 5

Cited in 112 Serials

179 Communications in Algebra
80 Journal of Algebra
74 Journal of Pure and Applied Algebra
59 Journal of Algebra and its Applications
31 Semigroup Forum
18 Rendiconti del Circolo Matemàtico di Palermo. Serie II
16 Proceedings of the American Mathematical Society
15 Ricerche di Matematica
15 Journal of Commutative Algebra
12 Rocky Mountain Journal of Mathematics
9 Beiträge zur Algebra und Geometrie
8 Bulletin of the Australian Mathematical Society
8 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Archiv der Mathematik
7 International Journal of Mathematics and Mathematical Sciences
7 Arabian Journal of Mathematics
7 Palestine Journal of Mathematics
5 Manuscripta Mathematica
5 Transactions of the American Mathematical Society
5 Turkish Journal of Mathematics
4 Journal of Number Theory
4 Monatshefte für Mathematik
4 Linear Algebra and its Applications
3 American Mathematical Monthly
3 Israel Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Mathematics of Computation
3 Boletim da Sociedade Brasileira de Matemática
3 Results in Mathematics
3 Topology and its Applications
3 Bulletin of the Korean Mathematical Society
3 International Journal of Algebra and Computation
3 Applicable Algebra in Engineering, Communication and Computing
3 Acta Mathematica Sinica. English Series
3 Far East Journal of Mathematical Education
3 Asian-European Journal of Mathematics
3 Korean Journal of Mathematics
2 Computers & Mathematics with Applications
2 International Journal of Mathematical Education in Science and Technology
2 Periodica Mathematica Hungarica
2 Ukrainian Mathematical Journal
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of Combinatorial Theory. Series A
2 Journal of the Korean Mathematical Society
2 Kyungpook Mathematical Journal
2 Mathematische Zeitschrift
2 Quaestiones Mathematicae
2 Rendiconti del Seminario Matematico della Università di Padova
2 Bulletin of the Iranian Mathematical Society
2 Forum Mathematicum
2 Expositiones Mathematicae
2 Annales Mathématiques Blaise Pascal
2 Vietnam Journal of Mathematics
2 Portugaliae Mathematica. Nova Série
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Open Mathematics
2 Bollettino dell’Unione Matematica Italiana
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Wave Motion
1 Arkiv för Matematik
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Commentationes Mathematicae Universitatis Carolinae
1 Fuzzy Sets and Systems
1 Glasgow Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematika
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Order
1 Journal of Symbolic Computation
1 Applied Mathematics Letters
1 Science in China. Series A
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Computer and Systems Sciences International
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Georgian Mathematical Journal
1 The Electronic Journal of Combinatorics
1 Arab Journal of Mathematical Sciences
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Mathematical Journal of Ibaraki University
1 Communications of the Korean Mathematical Society
1 Far East Journal of Mathematical Sciences
1 Integers
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Algebra and Discrete Mathematics
1 International Journal of Number Theory
1 Bulletin of the American Mathematical Society
...and 12 more Serials

Citations by Year