Edit Profile (opens in new tab) Dobbs, David Earl Co-Author Distance Author ID: dobbs.david-earl Published as: Dobbs, David E.; Dobbs, D. E.; Dobbs, David Earl; Dobbs, David E; Dobbs, David more...less Homepage: https://web.math.utk.edu/~dobbs/ External Links: MGP · ORCID · dblp Documents Indexed: 357 Publications since 1971, including 2 Books 2 Contributions as Editor Co-Authors: 74 Co-Authors with 208 Joint Publications 854 Co-Co-Authors 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 all top 5 Fields 302 Commutative algebra (13-XX) 27 Field theory and polynomials (12-XX) 23 Algebraic geometry (14-XX) 16 Number theory (11-XX) 16 Mathematics education (97-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Group theory and generalizations (20-XX) 10 Associative rings and algebras (16-XX) 10 Real functions (26-XX) 8 Geometry (51-XX) 7 General topology (54-XX) 6 Category theory; homological algebra (18-XX) 5 Probability theory and stochastic processes (60-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 Cited in 33 Fields 740 Commutative algebra (13-XX) 165 Group theory and generalizations (20-XX) 90 Number theory (11-XX) 57 Associative rings and algebras (16-XX) 52 Algebraic geometry (14-XX) 27 Combinatorics (05-XX) 25 Field theory and polynomials (12-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 21 General topology (54-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Category theory; homological algebra (18-XX) 5 Mathematical logic and foundations (03-XX) 4 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 \(K\)-theory (19-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Citations by Year