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Author ID: dobbs.david-earl Recent zbMATH articles by "Dobbs, David Earl"
Published as: Dobbs, David E.; Dobbs, D. E.; Dobbs, David Earl; Dobbs, David E; Dobbs, David
Homepage: https://web.math.utk.edu/~dobbs/
External Links: MGP · ORCID · dblp
all top 5

Co-Authors

151 single-authored
40 Fontana, Marco
31 Shapiro, Jay Allen
26 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 Jarboui, Noômen
6 Zafrullah, Muhammad
5 Cahen, Paul-Jean
5 Hetzel, Andrew J.
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 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 Arnold, Jimmy T.
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 Gaur, Atul
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 Kumar, Rahul
1 Levy, Ronnie
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
23 International Journal of Mathematical Education in Science and Technology
14 Palestine Journal of Mathematics
13 Journal of Algebra and its Applications
12 Canadian Mathematical Bulletin
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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
2 Gulf Journal of 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

Publications by Year

Citations contained in zbMATH Open

236 Publications have been cited 2,061 times in 930 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
145
1997
Pairs of rings with the same prime ideals. Zbl 0406.13001
Anderson, David F.; Dobbs, David E.
101
1980
t-linked overrings and Prüfer v-multiplication domains. Zbl 0691.13015
Dobbs, David E.; Houston, Evan G.; Lucas, Thomas G.; Zafrullah, Muhammad
79
1989
Divided rings and going-down. Zbl 0326.13002
Dobbs, David E.
70
1976
Ogoing down for simple overrings. II. Zbl 0285.13001
Dobbs, David E.
51
1974
Characterizing the ring extensions that satisfy FIP or FCP. Zbl 1271.13022
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
47
2012
On Jaffard domains. Zbl 0657.13011
Anderson, David F.; Bouvier, Alain; Dobbs, David E.; Fontana, Marco; Kabbaj, Salah
45
1988
Conducive integral domains. Zbl 0531.13002
Dobbs, David E.; Fedder, Richard
43
1984
Universally catenarian integral domains. Zbl 0695.13014
Bouvier, Alain; Dobbs, David E.; Fontana, Marco
39
1988
Locally pseudo-valuation domains. Zbl 0531.13012
Dobbs, David E.; Fontana, Marco
36
1983
On the FIP property for extensions of commutative rings. Zbl 1120.13009
Dobbs, David E.; Mullins, Bernadette; Picavet, Gabriel; Picavet-L’Hermitte, Martine
36
2005
Every commutative ring has a minimal ring extension. Zbl 1110.13005
Dobbs, David E.
32
2006
On \(t\)-linked overrings. Zbl 0791.13005
Dobbs, David E.; Houston, Evan G.; Lucas, Thomas G.; Roitman, Moshe; Zafrullah, Muhammad
32
1992
On INC-extensions and polynomials with unit content. Zbl 0432.13007
Dobbs, David E.
31
1980
Lying-over pairs of commutative rings. Zbl 0466.13002
Dobbs, David E.
30
1981
Coherent Mori domains and the principal ideal theorem. Zbl 0622.13007
Barucci, Valentina; Anderson, David F.; Dobbs, David E.
29
1987
The primitive element theorem for commutative algebras. Zbl 0999.13003
Anderson, D. D.; Dobbs, D. E.; Mullins, Bernadette
28
2002
Kronecker function rings and abstract Riemann surfaces. Zbl 0597.13004
Dobbs, David E.; Fontana, Marco
28
1986
A classification of the minimal ring extensions of certain commutative rings. Zbl 1118.13004
Dobbs, David E.; Shapiro, Jay
27
2007
Abstract Riemann surfaces of integral domains and spectral spaces. Zbl 0646.13008
Dobbs, David E.; Fedder, Richard; Fontana, Marco
26
1987
On going down for simple overrings. III. Zbl 0285.13002
Dobbs, David E.; Papick, Ira J.
26
1976
\(n\)-coherent rings and modules. Zbl 0947.13011
Dobbs, David E.; Kabbaj, Salah-Eddine; Mahdou, Najib
22
1997
On integral domains with no atoms. Zbl 0990.13015
Coykendall, Jim; Dobbs, David E.; Mullins, Bernadette
21
1999
Coherence, ascent of going-down, and pseudo-valuation domains. Zbl 0388.13002
Dobbs, David E.
21
1978
A classification of the minimal ring extensions of an integral domain. Zbl 1107.13010
Dobbs, David E.; Shapiro, Jay
19
2006
Pseudo-valuation rings. Zbl 0880.13011
Badawi, Ayman; Anderson, David F.; Dobbs, David E.
19
1997
Transfer results for the FIP and FCP properties of ring extensions. Zbl 1317.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
19
2015
Universally going-down homomorphisms of commutative rings. Zbl 0544.13004
Dobbs, David E.; Fontana, Marco
18
1984
Normal pairs with zero-divisors. Zbl 1221.13012
Dobbs, David E.; Shapiro, Jay
18
2011
On intersections and composites of minimal ring extensions. Zbl 1267.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine; Shapiro, Jay
18
2012
On seminormal overrings. Zbl 0496.13001
Anderson, David F.; Dobbs, David E.; Huckaba, James A.
17
1982
On going down for simple overrings. Zbl 0238.13019
Dobbs, David E.
17
1973
When is D + M coherent? Zbl 0329.13014
Dobbs, David E.; Papick, Ira J.
16
1976
On the flat spectral topology. Zbl 0483.14001
Dobbs, David E.; Fontana, Marco; Papick, Ira J.
15
1981
On the lengths of maximal chains of intermediate fields in a field extension. Zbl 0995.12003
Dobbs, David E.; Mullins, Bernadette
15
2001
On going down in polynomial rings. Zbl 0242.13015
Dawson, Jeffrey; Dobbs, David E.
15
1974
Going down: A survey. Zbl 0383.13005
Dobbs, David E.; Papick, Ira J.
15
1978
On locally divided integral domains and CPI-overrings. Zbl 0457.13005
Dobbs, David E.
15
1981
On a question of Wilf concerning numerical semigroups. Zbl 1165.13300
Dobbs, David E.; Matthews, Gretchen L.
15
2003
On maximal non-ACCP subrings. Zbl 1154.13007
Ayache, Ahmed; Dobbs, David E.; Echi, Othman
13
2007
On chain conditions in integral domains. Zbl 0513.13005
Barucci, Valentina; Dobbs, David E.
13
1984
Universally going-down integral domains. Zbl 0526.13007
Dobbs, David E.; Fontana, Marco
13
1984
On the commutative rings with at most two proper subrings. Zbl 1441.13019
Dobbs, David E.
13
2016
On locally divided rings and going-down rings. Zbl 1104.13301
Badawi, Ayman; Dobbs, David E.
13
2001
Characterizing minimal ring extensions. Zbl 1237.13018
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
12
2011
On \(t\)-Spec\((R[[X]])\). Zbl 0847.13005
Dobbs, David E.; Houston, Evan G.
12
1995
When is \(D+M\) \(n\)-coherent and an \((n,d)\)-domain? Zbl 0977.13006
Dobbs, David E.; Kabbaj, Salah-Eddine; Mahdou, Najib; Sobrani, Mohamed
12
1999
Conducive integral domains as pullbacks. Zbl 0585.13013
Barucci, Valentina; Dobbs, David E.; Fontana, Marco
12
1985
Going-down rings with zero-divisors. Zbl 0896.13006
Dobbs, David E.
12
1997
Trivial extensions satisfying certain valuation-like properties. Zbl 1423.13065
Dobbs, David E.; El Khalfi, Abdelhaq; Mahdou, Najib
12
2019
Universally incomparable ring-homomorphisms. Zbl 0535.13006
Dobbs, David E.; Fontana, Marco
11
1984
Certain towers of ramified minimal ring extensions of commutative rings. Zbl 1402.13011
Dobbs, David E.
11
2018
On certain distinguished spectral sets. Zbl 0472.54021
Dobbs, David E.; Fontana, Marco; Papick, Ira J.
11
1981
On treed Nagata rings. Zbl 0691.13005
Anderson, David F.; Dobbs, David E.; Fontana, Marco
10
1989
Ascent and descent of going-down rings for integral extensions. Zbl 0327.13007
Dobbs, David E.
10
1976
Formal power series rings over zero-dimensional SFT-rings. Zbl 0856.13017
Condo, John T.; Coykendall, Jim; Dobbs, David E.
10
1996
On the strong \((A)\)-rings of Mahdou and Hassani. Zbl 1278.13002
Dobbs, David E.; Shapiro, Jay
10
2013
On treed overrings and going-down domains. Zbl 0683.13003
Dobbs, David E.
9
1987
Valuative domains. Zbl 1191.13009
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
9
2010
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.
9
1990
The singly generated unital rings with only finitely many unital subrings. Zbl 1149.13015
Dobbs, David E.; Mullins, Bernadette; Picavet-L’Hermitte, Martine
9
2008
Two sufficient conditions for universal catenarity. Zbl 0638.13015
Bouvier, Alain; Dobbs, David E.; Fontana, Marco
8
1987
Flatness, LCM-stability, and related module-theoretic properties. Zbl 0666.13006
Anderson, D. D.; Dobbs, David E.
8
1988
Universally catenarian domains of \(D+M\) type. Zbl 0691.13012
Anderson, David F.; Dobbs, David E.; Kabbaj, Salah; Mulay, S. B.
8
1988
Binary Egyptian fractions. Zbl 0961.11015
Croot, Ernest S. III; Dobbs, David E.; Friedlander, John B.; Hetzel, Andrew J.; Pappalardi, Francesco
8
2000
On the prime ideal structure of tensor products of algebras. Zbl 1056.13010
Bouchiba, Samir; Dobbs, David E.; Kabbaj, Salah-Eddine
8
2002
Root closure in commutative rings. Zbl 0735.13004
Anderson, David F.; Dobbs, David E.; Roitman, Moshe
8
1990
On the weak global dimension of pseudovaluation domains. Zbl 0383.13001
Dobbs, David E.
8
1978
When an extension of Nagata rings has only finitely many intermediate rings, each of those is a Nagata ring. Zbl 1486.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
8
2014
When only finitely many intermediate rings result from juxtaposing two minimal ring extensions. Zbl 1354.13015
Dobbs, David E.; Shapiro, Jay
8
2016
A minimal ring extension of a large finite local prime ring is probably ramified. Zbl 1440.13044
Dobbs, David E.
8
2020
On a class of archimedean integral domains. Zbl 0337.13016
Beauregard, Raymond A.; Dobbs, David E.
7
1976
A going-up theorem for arbitrary chains of prime ideals. Zbl 0969.13004
Dobbs, David E.
7
1999
On the maximal cardinality of chains of intermediate rings. Zbl 1161.13302
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
7
2009
Seminormal rings generated by algebraic integers. Zbl 0619.13002
Dobbs, David E.; Fontana, Marco
7
1987
A modern course on the theory of equations. Zbl 0454.12008
Dobbs, David E.; Hanks, Robert
7
1980
Numerical semigroups whose fractions are of maximal embedding dimension. Zbl 1236.20060
Dobbs, David E.; Smith, Harold J.
6
2011
On pseudo-valuation domains and their globalizations. Zbl 0501.13006
Dobbs, David E.; Fontana, Marco
6
1983
Strong ring extensions and pseudo-valuation domains. Zbl 0503.13001
Dobbs, David E.; Fontana, Marco; Huckaba, James A.; Papick, Ira J.
6
1982
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
On semistar Nagata rings, Prüefer-like domains and semistar going-down domains. Zbl 1234.13021
Dobbs, David E; Sahandi, Parviz
6
2011
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
6
2003
Descent of divisibility properties of integral domains to fixed rings. Zbl 1109.13004
Dobbs, David E.; Shapiro, Jay
6
2006
Strong ring extensions and \(\varphi\)-pseudo-valuation rings. Zbl 1095.13017
Badawi, Ayman; Dobbs, David E.
6
2006
On the criteria of D. D. Anderson for invertible and flat ideals. Zbl 0591.13006
Dobbs, David E.
6
1986
Ahmes expansions of formal Laurent series and a class of nonarchimedean integral domains. Zbl 0624.13017
Dobbs, David E.
6
1986
Characterizing finite fields via minimal ring extensions. Zbl 1427.13006
Dobbs, David E.
6
2019
When the juxtaposition of two minimal ring extensions produces no new intermediate rings. Zbl 1354.13014
Dobbs, David E.
6
2017
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
6
2018
A sufficient condition for a minimal ring extension to be an overring. Zbl 1114.13004
Dobbs, David E.
5
2007
Direct limits and going-down. Zbl 0501.13001
Dobbs, David E.; Fontana, Marco; Papick, Ira J.
5
1982
A generalization of Prüfer’s ascent result to normal pairs of complemented rings. Zbl 1236.13007
Dobbs, David E.; Shapiro, Jay
5
2011
On the product of ideals. Zbl 0468.13013
Anderson, David F.; Dobbs, David E.
5
1983
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
5
2008
Direct limits of Jaffard domains and S-domains. Zbl 0724.13018
Dobbs, David E.; Fontana, Marco; Kabbaj, Salah
5
1990
Survival-pairs of commutative rings have the lying-over property. Zbl 1048.13005
Coykendall, Jim; Dobbs, David E.
5
2003
Corrigendum to: “When the juxtaposition of two minimal ring extensions produces no new intermediate rings”. Zbl 1375.13010
Dobbs, David E.
5
2018
On locally divided domains of the form Int(\(D\)). Zbl 0995.13004
Cahen, Paul-Jean; Chabert, Jean-Luc; Dobbs, David E.; Tartarone, Francesca
4
2000
Pseudo-valuation rings. II. Zbl 0972.13003
Anderson, David F.; Badawi, Ayman; Dobbs, David E.
4
2000
On minimal ring extensions of finite rings. Zbl 07510739
Dobbs, David
1
2022
A classification up to algebra isomorphism of the ramified minimal ring extensions of a principal ideal ring. Zbl 1494.13011
Dobbs, David E.
1
2022
Characterizing finite Boolean rings by using finite chains of subrings. Zbl 1479.16019
Dobbs, David E.; Jarboui, Noômen
1
2021
On almost valuation ring pairs. Zbl 1478.13014
Jarboui, Noômen; Dobbs, David E.
1
2021
A minimal ring extension of a large finite local prime ring is probably ramified. Zbl 1440.13044
Dobbs, David E.
8
2020
On the nature and number of isomorphism classes of the minimal ring extensions of a finite commutative ring. Zbl 1457.13017
Dobbs, David E.
4
2020
Where some inert minimal ring extensions of a commutative ring come from. Zbl 1448.13015
Dobbs, David Earl
1
2020
Normal pairs of noncommutative rings. Zbl 1440.13037
Dobbs, David E.; Jarboui, Noômen
1
2020
Trivial extensions satisfying certain valuation-like properties. Zbl 1423.13065
Dobbs, David E.; El Khalfi, Abdelhaq; Mahdou, Najib
12
2019
Characterizing finite fields via minimal ring extensions. Zbl 1427.13006
Dobbs, David E.
6
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
3
2019
Strongly divided pairs of integral domains. Zbl 1423.13134
Ayache, Ahmed; Dobbs, David E.
1
2019
Certain towers of ramified minimal ring extensions of commutative rings. Zbl 1402.13011
Dobbs, David E.
11
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
6
2018
Corrigendum to: “When the juxtaposition of two minimal ring extensions produces no new intermediate rings”. Zbl 1375.13010
Dobbs, David E.
5
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.
4
2018
When the juxtaposition of two minimal ring extensions produces no new intermediate rings. Zbl 1354.13014
Dobbs, David E.
6
2017
Commutative rings and modules that are Nil*-coherent or special Nil*-coherent. Zbl 1388.13007
Ismaili, Karima Alaoui; Dobbs, David E.; Mahdou, Najib
4
2017
On triangles with the same area. Zbl 1384.51007
Dobbs, David E.
3
2017
On sums and products of primitive elements. Zbl 1360.13026
Dobbs, David E.; Houston, Evan
2
2017
Using survival pairs to characterize rings of algebraic integers. Zbl 1387.13026
Dobbs, David Earl
1
2017
Commutative rings with a prescribed number of isomorphism classes of minimal ring extensions. Zbl 1396.13006
Dobbs, David E.
1
2017
When the relative integral closure is the only intermediate ring. Zbl 1365.13013
Dobbs, David E.
1
2017
Why the \(n^{\text{th}}\)-root function is not a rational function. Zbl 1397.97022
Dobbs, David E.
1
2017
On the commutative rings with at most two proper subrings. Zbl 1441.13019
Dobbs, David E.
13
2016
When only finitely many intermediate rings result from juxtaposing two minimal ring extensions. Zbl 1354.13015
Dobbs, David E.; Shapiro, Jay
8
2016
Transfer results for the FIP and FCP properties of ring extensions. Zbl 1317.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
19
2015
Finite maximal chains of commutative rings. Zbl 1310.13012
Ayache, Ahmed; Dobbs, David E.
4
2015
Valuative pairs of commutative rings. Zbl 1338.13014
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
4
2015
On chains of intermediate rings resulting from the juxtaposition of minimal ring extensions. Zbl 1389.13028
Dobbs, David E.; Shapiro, Jay
1
2015
When an extension of Nagata rings has only finitely many intermediate rings, each of those is a Nagata ring. Zbl 1486.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
8
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
2
2014
Realizing infinite cardinal numbers via maximal chains of intermediate fields. Zbl 1332.12009
Dobbs, David E.; Heitmann, Raymond C.
2
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
Catenarian numbers. Zbl 1302.12005
Dobbs, David E.; Shapiro, Jay
1
2014
On the strong \((A)\)-rings of Mahdou and Hassani. Zbl 1278.13002
Dobbs, David E.; Shapiro, Jay
10
2013
On the maximal cardinality of an infinite chain of vector subspaces. Zbl 1294.15003
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
Using infinite series and complex numbers to derive formulas involving Laplace transforms. Zbl 1293.97052
Dobbs, David E.
1
2013
Characterizing the ring extensions that satisfy FIP or FCP. Zbl 1271.13022
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
47
2012
On intersections and composites of minimal ring extensions. Zbl 1267.13016
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine; Shapiro, Jay
18
2012
Finitely valuative domains. Zbl 1260.13013
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
4
2012
On finite maximal chains of weak Baer going-down rings. Zbl 1248.13013
Dobbs, David E.; Picavet, Gabriel; Picavet-L’Hermitte, Martine
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 rank and nullity. Zbl 1273.97032
Dobbs, David E.
1
2012
Normal pairs with zero-divisors. Zbl 1221.13012
Dobbs, David E.; Shapiro, Jay
18
2011
Characterizing minimal ring extensions. Zbl 1237.13018
Cahen, Paul-Jean; Dobbs, David E.; Lucas, Thomas G.
12
2011
Numerical semigroups whose fractions are of maximal embedding dimension. Zbl 1236.20060
Dobbs, David E.; Smith, Harold J.
6
2011
On semistar Nagata rings, Prüefer-like domains and semistar going-down domains. Zbl 1234.13021
Dobbs, David E; Sahandi, Parviz
6
2011
A generalization of Prüfer’s ascent result to normal pairs of complemented rings. Zbl 1236.13007
Dobbs, David E.; Shapiro, Jay
5
2011
Normal pairs of going-down rings. Zbl 1234.13010
Dobbs, David Earl; Shapiro, Jay Allen
3
2011
On integral domains with a unique overring that is incomparable with the integral closure. Zbl 1228.13022
Dobbs, David E.; Jarboui, Noômen
1
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.
9
2010
Patching together a minimal overring. Zbl 1220.13005
Dobbs, David E.; Shapiro, Jay
3
2010
On purity and related universal properties of extensions of commutative rings. Zbl 1216.13002
Dobbs, David E.
2
2010
When a minimal overring is a going-down domain. Zbl 1210.13011
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
7
2009
Straight rings. Zbl 1159.13012
Dobbs, David E.; Picavet, Gabriel
4
2009
Recent progress on minimal ring extensions and related concepts. Zbl 1378.13004
Dobbs, David E.
4
2009
On characterizations of integrality involving the lying-over and incomparable properties. Zbl 1184.13023
Dobbs, D. E.
3
2009
When is a pullback a locally divided domain? Zbl 1173.13023
Dobbs, David E.
3
2009
A generalization of divided domains and its connection to weak Baer going-down rings. Zbl 1200.13017
Dobbs, David E.; Shapiro, Jay
3
2009
Extensions of integral domains with infinite chains of intermediate rings. Zbl 1159.13011
Dobbs, David E.
3
2009
Going-down and semistar operations. Zbl 1173.13024
Dobbs, David E.; Sahandi, Parviz
3
2009
Straight rings. II. Zbl 1177.13019
Dobbs, David E.; Picavet, Gabriel
2
2009
On the finiteness of a field-theoretic invariant for commutative rings. Zbl 1184.13065
Dobbs, David E.
1
2009
On almost-divided domains. Zbl 1187.13020
Dobbs, David E.; Picavet, Gabriel
1
2009
Some applications of Zorn’s Lemma in algebra. Zbl 1184.13005
Anderson, D. D.; Dobbs, David E.; Zafrullah, Muhammad
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
9
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
5
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.
3
2008
A classification of the minimal ring extensions of certain commutative rings. Zbl 1118.13004
Dobbs, David E.; Shapiro, Jay
27
2007
On maximal non-ACCP subrings. Zbl 1154.13007
Ayache, Ahmed; Dobbs, David E.; Echi, Othman
13
2007
A sufficient condition for a minimal ring extension to be an overring. Zbl 1114.13004
Dobbs, David E.
5
2007
Transfer of Krull dimension, lying-over, and going-down to the fixed ring. Zbl 1121.13009
Dobbs, David E.; Shapiro, Jay
3
2007
Descent of minimal overrings of integrally closed domains to fixed rings. Zbl 1114.13008
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
Composite of minimal ring exensions. Zbl 1146.13004
Dobbs, David E.; Shapiro, Jay
1
2007
Every commutative ring has a minimal ring extension. Zbl 1110.13005
Dobbs, David E.
32
2006
A classification of the minimal ring extensions of an integral domain. Zbl 1107.13010
Dobbs, David E.; Shapiro, Jay
19
2006
Descent of divisibility properties of integral domains to fixed rings. Zbl 1109.13004
Dobbs, David E.; Shapiro, Jay
6
2006
Strong ring extensions and \(\varphi\)-pseudo-valuation rings. Zbl 1095.13017
Badawi, Ayman; Dobbs, David E.
6
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
36
2005
On open ring pairs of commutative rings. Zbl 1101.13009
Chatham, R. Douglas; Dobbs, David E.
3
2005
Going-down implies generalized going-down. Zbl 1103.13008
Dobbs, David E.; Hetzel, Andrew J.
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
3
2004
Almost integrally closed domains. Zbl 1064.13006
Dobbs, David E.; Shapiro, Jay
2
2004
On a question of Wilf concerning numerical semigroups. Zbl 1165.13300
Dobbs, David E.; Matthews, Gretchen L.
15
2003
Generalized going-down homomorphisms of commutative rings. Zbl 1069.13007
Dobbs, David E.; Fontana, Marco; Picavet, Gabriel
6
2003
Survival-pairs of commutative rings have the lying-over property. Zbl 1048.13005
Coykendall, Jim; Dobbs, David E.
5
2003
On the strong going-between and generalized going-down properties of ring homomorphisms. Zbl 1120.13011
Dobbs, David E.
3
2003
...and 136 more Documents
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Cited by 495 Authors

132 Dobbs, David Earl
53 Rosales, José Carlos
45 Fontana, Marco
34 Jarboui, Noômen
34 Mahdou, Najib
34 Mimouni, Abdeslam
31 Picavet, Gabriel
26 Zafrullah, Muhammad
25 Chang, Gyu Whan
25 Picavet-L’Hermitte, Martine
24 Ayache, Ahmed
24 Houston, Evan G. jun.
24 Kabbaj, Salah-Eddine
22 Park, Mi Hee
22 Spirito, Dario
21 Branco, Manuel Baptista
18 Bouchiba, Samir
17 Anderson, Daniel D.
17 Anderson, David Fenimore
17 Kim, Hwankoo
15 Gaur, Atul
15 Kumar, Rahul
15 Lucas, Thomas George
15 Shapiro, Jay Allen
13 Barucci, Valentina
13 Ben Nasr, Mabrouk
13 Gabelli, Stefania
13 García Sánchez, Pedro A.
13 Wang, Fanggui
12 Cahen, Paul-Jean
12 Finocchiaro, Carmelo Antonio
12 Kang, Byung Gyun
11 Benhissi, Ali
11 El Khalfi, Abdelhaq
11 Sahandi, Parviz
10 Badawi, Ayman
10 El Baghdadi, Said
10 Geroldinger, Alfred
10 Gotti, Felix
9 Azarang, Alborz
9 Coykendall, James
9 Echi, Othman
9 Picozza, Giampaolo
8 Dumitrescu, Tiberiu
8 Hizem, Sana
8 Karakas, Halil Ibrahim
8 Robles-Pérez, Aureliano M.
8 Roitman, Moshe
7 D’Anna, Marco
7 Jaballah, Ali
7 Loper, Kenneth Alan
6 Bennis, Driss
6 García García, Juan Ignacio
6 Moreno-Frías, Maria Angeles
6 Olberding, Bruce M.
6 O’Neill, Christopher
6 Papick, Ira J.
6 Suer, Meral
6 Visweswaran, Subramanian
6 Zeidi, Nabil
6 Zhao, Wei
5 Amini, Mostafa
5 Bakkari, Chahrazade
5 Bras-Amorós, Maria
5 Khalifa, Mohamed
5 Moscariello, Alessio
5 Mouanis, Hakima
5 Riffi, Abdelkbir
5 Strazzanti, Francesco
5 Tartarone, Francesca
5 Toan, Phan Thanh
5 Torrão, Denise
5 Tutaş, Nesrin
5 Vasco, Paulo J. M.
4 Blanco, Víctor
4 El Alaoui, Haitham
4 Elliott, Jesse
4 Hamed, Ahmed
4 Herzinger, Kurt
4 Hetzel, Andrew J.
4 Ilhan, Sedat
4 Lim, Jung Wook
4 Mullins, Bernadette
4 Pappalardi, Francesco
4 Reinhart, Andreas
4 Tarizadeh, Abolfazl
4 Traesel, Márcio Andre
4 Xing, Shiqi
4 Zarzuela, Santiago
3 Ahmed, Malik Tusif
3 André, Yves
3 Arssi, Youssef
3 Azimi, Yusof
3 Bouvier, Alain
3 Bryant, Lance
3 Bullington, Grady D.
3 Chhiti, Mohamed
3 Choi, Hyun Seung
3 Delgado, Manuel
3 El-Arabi, Mouhssine
...and 395 more Authors
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Cited in 137 Serials

197 Communications in Algebra
83 Journal of Pure and Applied Algebra
82 Journal of Algebra
78 Journal of Algebra and its Applications
34 Semigroup Forum
19 Rendiconti del Circolo Matemàtico di Palermo. Serie II
18 Journal of Commutative Algebra
18 Palestine Journal of Mathematics
17 Ricerche di Matematica
16 Proceedings of the American Mathematical Society
15 Beiträge zur Algebra und Geometrie
13 Rocky Mountain Journal of Mathematics
11 Quaestiones Mathematicae
11 Turkish Journal of Mathematics
9 Bulletin of the Korean Mathematical Society
8 Bulletin of the Australian Mathematical Society
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Hacettepe Journal of Mathematics and Statistics
7 Archiv der Mathematik
7 International Journal of Mathematics and Mathematical Sciences
7 Journal of the Korean Mathematical Society
7 Mediterranean Journal of Mathematics
7 Arabian Journal of Mathematics
6 Czechoslovak Mathematical Journal
5 Manuscripta Mathematica
5 Results in Mathematics
5 Transactions of the American Mathematical Society
5 Communications of the Korean Mathematical Society
4 Israel Journal of Mathematics
4 Journal of Number Theory
4 Monatshefte für Mathematik
4 Bulletin of the Iranian Mathematical Society
4 International Journal of Algebra and Computation
4 Linear Algebra and its Applications
4 International Electronic Journal of Algebra (IEJA)
4 Asian-European Journal of Mathematics
4 Korean Journal of Mathematics
3 American Mathematical Monthly
3 Discrete Mathematics
3 International Journal of Mathematical Education in Science and Technology
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Mathematics of Computation
3 Boletim da Sociedade Brasileira de Matemática
3 Fuzzy Sets and Systems
3 Rendiconti del Seminario Matematico della Università di Padova
3 Topology and its Applications
3 Applicable Algebra in Engineering, Communication and Computing
3 Filomat
3 Acta Mathematica Sinica. English Series
3 Portugaliae Mathematica. Nova Série
3 Far East Journal of Mathematical Education
3 São Paulo Journal of Mathematical Sciences
3 Open Mathematics
3 Journal of Algebraic Systems
2 Computers & Mathematics with Applications
2 Periodica Mathematica Hungarica
2 Ukrainian Mathematical Journal
2 Advances in Mathematics
2 Canadian Mathematical Bulletin
2 Collectanea Mathematica
2 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of Combinatorial Theory. Series A
2 Kyungpook Mathematical Journal
2 Mathematische Zeitschrift
2 Forum Mathematicum
2 Expositiones Mathematicae
2 Annales Mathématiques Blaise Pascal
2 Georgian Mathematical Journal
2 The New York Journal of Mathematics
2 Vietnam Journal of Mathematics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Algebra and Related Topics
2 Research in Number Theory
2 Bollettino dell’Unione Matematica Italiana
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Wave Motion
1 Arkiv för Matematik
1 Applied Mathematics and Computation
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Hiroshima Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
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 Revista de la Unión Matemática Argentina
1 Acta Mathematica Hungarica
1 Order
1 Applied Mathematics Letters
1 Science in China. Series A
...and 37 more Serials

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