Edit Profile (opens in new tab) Anderson, David Fenimore Co-Author Distance Author ID: anderson.david-fenimore Published as: Anderson, David F.; Anderson, D. F.; Anderson, David more...less Homepage: https://web.math.utk.edu/~anderson/ External Links: MGP Documents Indexed: 181 Publications since 1978, including 1 Book and 8 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 215 Reviews Biographic References: 3 Publications Co-Authors: 68 Co-Authors with 142 Joint Publications 834 Co-Co-Authors all top 5 Co-Authors 34 single-authored 31 Anderson, Daniel D. 26 Dobbs, David Earl 21 Badawi, Ayman 16 Chang, Gyu Whan 16 Zafrullah, Muhammad 13 Chapman, Scott Thomas 10 Fontana, Marco 10 Park, Jeanam 9 Smith, William W. 5 LaGrange, John David 3 El Baghdadi, Said 3 Kabbaj, Salah-Eddine 3 Mulay, Shashikant B. 3 Nour El Abidine, Driss 2 Bouvier, Alain 2 Houston, Evan G. jun. 2 Livingston, Philip S. 2 Roitman, Moshe 2 Shapiro, Jay Allen 2 Shirinkam, Sara 2 Wolf, Elizabeth Skubak 1 Acharya, Belmannu Devadas 1 Al-Kaseasbeh, Saba 1 Arnold, Jimmy T. 1 Asir, Thangaraj 1 Axtell, Michael C. 1 Barucci, Valentina 1 Cahen, Paul-Jean 1 Costa, Douglas L. 1 Coykendall, James 1 Deshpande, Abhishek 1 Eakin, Paul M. jun. 1 Ebrahimi Atani, Shahabaddin 1 Fahid, Brahim 1 Fasteen, Jodi 1 Frazier, Andrea M. 1 Ghalandarzadeh, Shaban 1 Gotti, Felix 1 Gupta, Purnima 1 Heinzer, William J. 1 Howells, Aidan S. 1 Huckaba, James A. 1 Inman, Faith 1 Jenkens, Susanne 1 Johnson, Eugene W. 1 Joshi, Badal 1 Kaplan, Nathan 1 Khalis, Mohammed 1 Kim, Gi-Ik 1 Kim, Hwankoo 1 Koyama, Masanori 1 Lauve, Aaron 1 Levy, Ron R. 1 Lewis, Elizabeth F. 1 Markanda, Raj K. 1 Mcclurkin, Grace 1 Mclaughlin, Elizabeth V. 1 Mott, Joe Leonard 1 Oh, Heung-Joon 1 Ohm, Jack 1 Park, Jaenam 1 Pranjali 1 Pruis, Paula 1 Rad, Parastoo Malakooti 1 Ryckaert, Alain 1 Sarvandi, Z. Ebrahimi 1 Scherpenisse, Carla 1 Shajari Kohan, M. 1 Stickles, Joe 1 Tamizh Chelvam, Thirugnanam 1 Torkornoo, Desmond 1 Weber, Darrin 1 Winner, Janice all top 5 Serials 32 Communications in Algebra 17 Journal of Pure and Applied Algebra 15 Journal of Algebra 14 Houston Journal of Mathematics 7 Canadian Mathematical Bulletin 7 Journal of Algebra and its Applications 4 Canadian Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 International Electronic Journal of Algebra (IEJA) 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Archiv der Mathematik 2 Commentarii Mathematici Universitatis Sancti Pauli 2 Glasgow Mathematical Journal 2 Mathematica Japonica 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 International Journal of Algebra and Computation 2 The Arabian Journal for Science and Engineering. Section C: Theme Issues 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Colloquium Mathematicum 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Bulletin of the Korean Mathematical Society 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 Elemente der Mathematik 1 SIAM Journal on Applied Mathematics 1 Expositiones Mathematicae 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Algebra Colloquium 1 Filomat 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Multiscale Modeling & Simulation 1 International Journal of Commutative Rings 1 Sarajevo Journal of Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 BSHM Bulletin 1 Arabian Journal of Mathematics 1 Actes des Rencontres du C.I.R.M. all top 5 Fields 165 Commutative algebra (13-XX) 19 Combinatorics (05-XX) 18 Group theory and generalizations (20-XX) 9 Associative rings and algebras (16-XX) 8 Algebraic geometry (14-XX) 5 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Probability theory and stochastic processes (60-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 3,366 times in 1,744 Documents Cited by ▼ Year ▼ The zero-divisor graph of a commutative ring. Zbl 0941.05062 Anderson, David F.; Livingston, Philip S. 666 1999 The total graph of a commutative ring. Zbl 1158.13001 Anderson, David F.; Badawi, Ayman 207 2008 Factorization in integral domains. Zbl 0727.13007 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 146 1990 Zero-divisor graphs, von Neumann regular rings, and Boolean algebras. Zbl 1076.13001 Anderson, David F.; Levy, Ron; Shapiro, Jay 124 2003 Pairs of rings with the same prime ideals. Zbl 0406.13001 Anderson, David F.; Dobbs, David E. 101 1980 The zero-divisor graph of a commutative ring. II. Zbl 1035.13004 Anderson, David F.; Frazier, Andrea; Lauve, Aaron; Livingston, Philip S. 98 2001 On the diameter and girth of a zero-divisor graph. Zbl 1119.13005 Anderson, David F.; Mulay, S. B. 96 2007 On \(n\)-absorbing ideals of commutative rings. Zbl 1232.13001 Anderson, David F.; Badawi, Ayman 90 2011 Zero-divisor graphs in commutative rings. Zbl 1225.13002 Anderson, David F.; Axtell, Michael C.; Stickles, Joe A. jun. 85 2011 On the zero-divisor graph of a ring. Zbl 1152.13001 Anderson, David F.; Badawi, Ayman 74 2008 The rings R(X) and \(R<X>\). Zbl 0621.13008 Anderson, D. D.; Anderson, David F.; Markanda, Raj 52 1985 Divisibility properties of graded domains. Zbl 0437.13001 Anderson, D. D.; Anderson, David F. 50 1982 Divisorial ideals and invertible ideals in a graded integral domain. Zbl 0483.13004 Anderson, D. D.; Anderson, David F. 46 1982 Elasticity of factorizations in integral domains. Zbl 0773.13003 Anderson, D. D.; Anderson, David F. 46 1992 On Jaffard domains. Zbl 0657.13011 Anderson, David F.; Bouvier, Alain; Dobbs, David E.; Fontana, Marco; Kabbaj, Salah 45 1988 Factorization in integral domains. II. Zbl 0776.13001 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 44 1992 Splitting the t-class group. Zbl 0760.13006 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 42 1991 The class group of \(D+M\). Zbl 0668.13013 Anderson, David F.; Ryckaert, Alain 41 1988 The generalized total graph of a commutative ring. Zbl 1272.13003 Anderson, David F.; Badawi, Ayman 41 2013 Graded Krull domains. Zbl 0402.13013 Anderson, David F. 40 1979 On the total graph of a commutative ring without the zero element. Zbl 1247.13004 Anderson, David F.; Badawi, Ayman 36 2012 Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph. Zbl 1254.13003 Anderson, David F.; LaGrange, John D. 35 2012 Elasticity of factorizations in integral domains: A survey. Zbl 0903.13008 Anderson, David F. 31 1997 A general theory of class groups. Zbl 0648.13002 Anderson, David F. 30 1988 Coherent Mori domains and the principal ideal theorem. Zbl 0622.13007 Barucci, Valentina; Anderson, David F.; Dobbs, David E. 29 1987 Generalized GCD domains. Zbl 0434.13001 Anderson, D. D.; Anderson, D. F. 29 1980 Atomic domains in which almost all atoms are prime. Zbl 0749.13012 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammed 28 1992 Global asymptotic stability for a class of nonlinear chemical equations. Zbl 1151.92038 Anderson, David F. 28 2008 Von Neumann regular and related elements in commutative rings. Zbl 1294.13029 Anderson, David F.; Badawi, Ayman 27 2012 Some remarks on the compressed zero-divisor graph. Zbl 1330.13003 Anderson, David F.; LaGrange, John D. 27 2016 On \(\phi\)-Prüfer rings and \(\phi\)-Bezout rings. Zbl 1089.13513 Anderson, David F.; Badawi, Ayman 26 2004 Examples of star operations on integral domains. Zbl 0715.13001 Anderson, D. D.; Anderson, David F. 26 1990 The ring \(D+XD_S[X]\) and \(t\)-splitting sets. Zbl 1271.13004 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 26 2001 On \(\phi\)-Dedekind rings and \(\phi\)-Krull rings. Zbl 1094.13030 Anderson, David F.; Badawi, Ayman 25 2005 Rings between D[X] and K[X]. Zbl 0736.13015 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 25 1991 Homogeneous splitting sets of a graded integral domain. Zbl 1084.13001 Anderson, David F.; Chang, Gyu Whan 23 2005 Factorization in integral domains. III. Zbl 0933.13001 Anderson, David F.; Nour El Abidine, Driss 20 1999 Some factorization properties of Krull domains with infinite cyclic divisor class group. Zbl 0831.13001 Anderson, David F.; Chapman, Scott T.; Smith, William W. 20 1994 Graded integral domains and Nagata rings. Zbl 1287.13003 Anderson, David F.; Chang, Gyu Whan 20 2013 How far is an element from being prime? Zbl 1203.13001 Anderson, David F.; Chapman, Scott T. 20 2010 Pseudo-valuation rings. Zbl 0880.13011 Badawi, Ayman; Anderson, David F.; Dobbs, David E. 19 1997 Pseudo-integrality. Zbl 0687.13005 Anderson, David F.; Houston, Evan G.; Zafrullah, Muhammad 18 1991 Rational elasticity of factorizations in Krull domains. Zbl 0777.13003 Anderson, D. D.; Anderson, David F.; Chapman, Scott T.; Smith, William W. 18 1993 On seminormal overrings. Zbl 0496.13001 Anderson, David F.; Dobbs, David E.; Huckaba, James A. 17 1982 Some remarks on star operations and the class group. Zbl 0652.13002 Anderson, D. D.; Anderson, David F. 16 1988 An algorithm to compute \(\omega\)-primality in a numerical monoid. Zbl 1218.20038 Anderson, David F.; Chapman, Scott T.; Kaplan, Nathan; Torkornoo, Desmond 16 2011 The class group and local class group of an integral domain. Zbl 1068.13010 Anderson, David F. 16 2000 On \((m,n)\)-closed ideals of commutative rings. Zbl 1355.13004 Anderson, David F.; Badawi, Ayman 15 2017 Graphs from rings. Zbl 1486.13001 Anderson, David F.; Asir, T.; Badawi, Ayman; Chelvam, T. Tamizh 14 2021 Root closure in integral domains. Zbl 0497.13004 Anderson, David F. 13 1982 Some remarks on cancellation ideals. Zbl 0552.13001 Anderson, D. D.; Anderson, David F. 13 1984 Projective modules over subrings of \(k[x,y]\) generated by monomials. Zbl 0372.13006 Anderson, David F. 13 1979 Subrings of \(k[x,y]\) generated by monomials. Zbl 0395.13002 Anderson, David F. 13 1978 Weakly Krull and related domains of the form \(D+M, A+XB[X]\) and \(A+X^2B[X]\). Zbl 1133.13022 Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 12 2006 The \(A+ XB[X]\) and \(A+ XB[[X]]\) constructions from \(GCD\)-domains. Zbl 1004.13004 Anderson, David F.; Nour El Abidine, Driss 12 2001 On \(v\)-domains and star operations. Zbl 1185.13003 Anderson, D. D.; Anderson, David F.; Fontana, Marco; Zafrullah, Muhammad 12 2009 The zero-divisor graph of a commutative ring without identity. Zbl 1440.13033 Anderson, David F.; Weber, Darrin 12 2018 On the diameter and girth of a zero-divisor graph. II. Zbl 1151.13002 Anderson, David F. 12 2008 When the dual of an ideal is a ring. Zbl 0526.13015 Anderson, David F. 11 1983 Some factorization properties of the ring of integer-valued polynomials. Zbl 0883.13018 Anderson, David F.; Cahen, Paul-Jean; Chapman, Scott T.; Smith, William W. 11 1995 Comparability of ideals and valuation overrings. Zbl 0407.13001 Anderson, David F. 11 1979 The divisor class group of a semigroup ring. Zbl 0437.13010 Anderson, David F. 11 1980 On the elasticities of Krull domains with finite cyclic divisor class group. Zbl 0964.13001 Anderson, David F.; Chapman, Scott T. 10 2000 On treed Nagata rings. Zbl 0691.13005 Anderson, David F.; Dobbs, David E.; Fontana, Marco 10 1989 On the class group of \(A+XB[X]\) domains. Zbl 0979.13010 Anderson, David F.; El Baghdadi, Said; Kabbaj, Salah-Eddine 10 1999 Length functions on integral domains. Zbl 0738.13018 Anderson, David F.; Pruis, Paula 10 1991 Graded-valuation domains. Zbl 1390.13002 Anderson, D. D.; Anderson, David F.; Chang, Gyu Whan 10 2017 Generalized weakly factorial domains. Zbl 1029.13012 Anderson, David F.; Chang, Guy Whan; Park, Jeanam 9 2003 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 Valuations and semi-valuations of graded domains. Zbl 0442.13002 Anderson, David F.; Ohm, Jack 9 1981 Divisibility conditions in commutative rings with zerodivisors. Zbl 1063.13003 Anderson, David F.; Badawi, Ayman 9 2002 Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups. Zbl 1143.13025 Anderson, David; Fontana, Marco; Zafrullah, Muhammad 8 2008 Universally catenarian domains of \(D+M\) type. Zbl 0691.13012 Anderson, David F.; Dobbs, David E.; Kabbaj, Salah; Mulay, S. B. 8 1988 Almost splitting sets in integral domains. II. Zbl 1171.13300 Anderson, David F.; Chang, Gyu Whan 8 2007 Factorization in \(K[X^ 2,X^ 3]\). Zbl 0784.13010 Anderson, David F.; Chapman, Scott; Inman, Faith; Smith, W. W. 8 1994 Root closure in commutative rings. Zbl 0735.13004 Anderson, David F.; Dobbs, David E.; Roitman, Moshe 8 1990 A general theory of zero-divisor graphs over a commutative ring. Zbl 1343.13013 Anderson, David F.; Lewis, Elizabeth F. 8 2016 The class group of integral domains. Zbl 1053.13003 Anderson, David F.; Chang, Gyu Whan 8 2003 The zero-divisor graph of a commutative semigroup: a survey. Zbl 1436.20113 Anderson, David F.; Badawi, Ayman 8 2017 Bounded and finite factorization domains. Zbl 1498.13003 Anderson, David F.; Gotti, Felix 8 2021 Weak error analysis of numerical methods for stochastic models of population processes. Zbl 1411.60103 Anderson, David F.; Koyama, Masanori 8 2012 The Picard group of a monoid domain. Zbl 0651.13009 Anderson, David F. 7 1988 Locally factorial integral domains. Zbl 0545.13007 Anderson, D. D.; Anderson, David F. 7 1984 Elasticity of factorizations in integral domains. II. Zbl 0838.13002 Anderson, D. D.; Anderson, David F. 7 1994 Abian’s poset and the ordered monoid of annihilator classes in a reduced commutative ring. Zbl 1317.06020 Anderson, David F.; LaGrange, John D. 7 2014 Multiplicatively closed subsets of fields. Zbl 0628.13005 Anderson, D. D.; Anderson, David F. 6 1987 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 bounding measures of primeness in integral domains. Zbl 1251.13002 Anderson, David F.; Chapman, Scott T. 6 2012 Factorization in integral domains. IV. Zbl 1216.13001 Anderson, D. D.; Anderson, David F. 6 2010 Factorization in \(K[X^ n,X^{n+1},\dots,X^{2n-1}]\). Zbl 0828.13014 Anderson, David F.; Jenkens, Susanne 6 1995 A generalization of unique factorization. Zbl 0919.13001 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 6 1995 Factorable domains. Zbl 1088.13512 Anderson, David F.; Kim, Hwankoo; Park, Jeanam 6 2002 On Krull half-factorial domains with infinite cyclic divisor class group. Zbl 0815.13002 Anderson, David F.; Chapman, Scott T.; Smith, William W. 6 1994 Some ideal-theoretic conditions on a Noetherian ring. Zbl 0467.13013 Anderson, D. D.; Anderson, D. F.; Johnson, E. W. 6 1981 Generalizations of the zero-divisor graph. Zbl 1430.05133 Anderson, David F.; Mcclurkin, Grace 6 2020 The subgroup graph of a group. Zbl 1255.05093 Anderson, David F.; Fasteen, Jodi; LaGrange, John D. 6 2012 Graded Prüfer domains. Zbl 1397.13001 Anderson, David F.; Chang, Gyu Whan; Zafrullah, Muhammad 5 2018 On the product of ideals. Zbl 0468.13013 Anderson, David F.; Dobbs, David E. 5 1983 Non-catenary factorial domains. Zbl 0698.13005 Anderson, David F.; Mulay, S. B. 5 1989 Seminormal graded rings. Zbl 0465.13002 Anderson, David F. 5 1981 Stochastic reaction networks within interacting compartments. Zbl 1521.92054 Anderson, David F.; Howells, Aidan S. 1 2023 Graphs from rings. Zbl 1486.13001 Anderson, David F.; Asir, T.; Badawi, Ayman; Chelvam, T. Tamizh 14 2021 Bounded and finite factorization domains. Zbl 1498.13003 Anderson, David F.; Gotti, Felix 8 2021 On \(n\)-semiprimary ideals and \(n\)-pseudo valuation domains. Zbl 1453.13006 Anderson, David F.; Badawi, Ayman 1 2021 Generalizations of the zero-divisor graph. Zbl 1430.05133 Anderson, David F.; Mcclurkin, Grace 6 2020 The zero-divisor graph of a commutative ring without identity. Zbl 1440.13033 Anderson, David F.; Weber, Darrin 12 2018 Graded Prüfer domains. Zbl 1397.13001 Anderson, David F.; Chang, Gyu Whan; Zafrullah, Muhammad 5 2018 Weakly \((m,n)\)-closed ideals and \((m,n)\)-von Neumann regular rings. Zbl 1401.13008 Anderson, David F.; Badawi, Ayman; Fahid, Brahim 4 2018 On \((m,n)\)-closed ideals of commutative rings. Zbl 1355.13004 Anderson, David F.; Badawi, Ayman 15 2017 Graded-valuation domains. Zbl 1390.13002 Anderson, D. D.; Anderson, David F.; Chang, Gyu Whan 10 2017 The zero-divisor graph of a commutative semigroup: a survey. Zbl 1436.20113 Anderson, David F.; Badawi, Ayman 8 2017 Completely integrally closed Prüfer \(v\)-multiplication domains. Zbl 1387.13009 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 5 2017 On locally AGCD domains. Zbl 1429.13001 Anderson, David F.; Chang, Gyu Whan; Zafrullah, Muhammad 1 2017 Some remarks on the compressed zero-divisor graph. Zbl 1330.13003 Anderson, David F.; LaGrange, John D. 27 2016 A general theory of zero-divisor graphs over a commutative ring. Zbl 1343.13013 Anderson, David F.; Lewis, Elizabeth F. 8 2016 Graded integral domains whose nonzero homogeneous ideals are invertible. Zbl 1357.13002 Anderson, David F.; Chang, Gyu Whan 3 2016 The semilattice of annihilator classes in a reduced commutative ring. Zbl 1318.13010 Anderson, David F.; LaGrange, John D. 5 2015 Abian’s poset and the ordered monoid of annihilator classes in a reduced commutative ring. Zbl 1317.06020 Anderson, David F.; LaGrange, John D. 7 2014 Some remarks on the graph \({\Gamma}_{I}(R)\). Zbl 1288.13001 Anderson, David F.; Shirinkam, Sara 2 2014 The ideal-based zero-divisor graph of commutative chained rings. Zbl 1301.05163 Anderson, D. F.; Atani, S. Ebrahimi; Kohan, M. Shajari; Sarvandi, Z. Ebrahimi 1 2014 The generalized total graph of a commutative ring. Zbl 1272.13003 Anderson, David F.; Badawi, Ayman 41 2013 Graded integral domains and Nagata rings. Zbl 1287.13003 Anderson, David F.; Chang, Gyu Whan 20 2013 On the total graph of a commutative ring without the zero element. Zbl 1247.13004 Anderson, David F.; Badawi, Ayman 36 2012 Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph. Zbl 1254.13003 Anderson, David F.; LaGrange, John D. 35 2012 Von Neumann regular and related elements in commutative rings. Zbl 1294.13029 Anderson, David F.; Badawi, Ayman 27 2012 Weak error analysis of numerical methods for stochastic models of population processes. Zbl 1411.60103 Anderson, David F.; Koyama, Masanori 8 2012 On bounding measures of primeness in integral domains. Zbl 1251.13002 Anderson, David F.; Chapman, Scott T. 6 2012 The subgroup graph of a group. Zbl 1255.05093 Anderson, David F.; Fasteen, Jodi; LaGrange, John D. 6 2012 On the diameter of the graph \(\Gamma_{\mathrm{Ann}(M)}(R)\). Zbl 1289.05201 Anderson, David F.; Ghalandarzadeh, Shaban; Shirinkam, Sara; Rad, Parastoo Malakooti 4 2012 The \(v\)-operation in extensions of integral domains. Zbl 1246.13009 Anderson, David F.; El Baghdadi, Said; Zafrullah, Muhammad 1 2012 On \(n\)-absorbing ideals of commutative rings. Zbl 1232.13001 Anderson, David F.; Badawi, Ayman 90 2011 Zero-divisor graphs in commutative rings. Zbl 1225.13002 Anderson, David F.; Axtell, Michael C.; Stickles, Joe A. jun. 85 2011 An algorithm to compute \(\omega\)-primality in a numerical monoid. Zbl 1218.20038 Anderson, David F.; Chapman, Scott T.; Kaplan, Nathan; Torkornoo, Desmond 16 2011 How far is an element from being prime? Zbl 1203.13001 Anderson, David F.; Chapman, Scott T. 20 2010 Factorization in integral domains. IV. Zbl 1216.13001 Anderson, D. D.; Anderson, David F. 6 2010 On \(v\)-domains and star operations. Zbl 1185.13003 Anderson, D. D.; Anderson, David F.; Fontana, Marco; Zafrullah, Muhammad 12 2009 The total graph of a commutative ring. Zbl 1158.13001 Anderson, David F.; Badawi, Ayman 207 2008 On the zero-divisor graph of a ring. Zbl 1152.13001 Anderson, David F.; Badawi, Ayman 74 2008 Global asymptotic stability for a class of nonlinear chemical equations. Zbl 1151.92038 Anderson, David F. 28 2008 On the diameter and girth of a zero-divisor graph. II. Zbl 1151.13002 Anderson, David F. 12 2008 Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups. Zbl 1143.13025 Anderson, David; Fontana, Marco; Zafrullah, Muhammad 8 2008 On the diameter and girth of a zero-divisor graph. Zbl 1119.13005 Anderson, David F.; Mulay, S. B. 96 2007 Almost splitting sets in integral domains. II. Zbl 1171.13300 Anderson, David F.; Chang, Gyu Whan 8 2007 Weakly Krull and related domains of the form \(D+M, A+XB[X]\) and \(A+X^2B[X]\). Zbl 1133.13022 Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 12 2006 Robert Gilmer’s work on semigroup rings. Zbl 1115.13001 Anderson, David F. 1 2006 How far is an HFD from a UFD? Zbl 1103.13012 Anderson, David F.; Mclaughlin, Elizabeth V. 1 2006 On \(\phi\)-Dedekind rings and \(\phi\)-Krull rings. Zbl 1094.13030 Anderson, David F.; Badawi, Ayman 25 2005 Homogeneous splitting sets of a graded integral domain. Zbl 1084.13001 Anderson, David F.; Chang, Gyu Whan 23 2005 The \(m\)-complement of a multiplicative set. Zbl 1120.13019 Anderson, David F.; Chang, Gyu Whan 4 2005 Divisibility properties in graded integral domains. Zbl 1079.13001 Anderson, David F. 3 2005 A general theory of splitting sets. Zbl 1117.13003 Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 1 2005 On \(\phi\)-Prüfer rings and \(\phi\)-Bezout rings. Zbl 1089.13513 Anderson, David F.; Badawi, Ayman 26 2004 The class group of \(D[\Gamma]\) for \(D\) an integral domain and \(\Gamma\) a numerical semigroup. Zbl 1092.13017 Anderson, David F.; Chang, Gyu Whan 3 2004 Zero-divisor graphs, von Neumann regular rings, and Boolean algebras. Zbl 1076.13001 Anderson, David F.; Levy, Ron; Shapiro, Jay 124 2003 Generalized weakly factorial domains. Zbl 1029.13012 Anderson, David F.; Chang, Guy Whan; Park, Jeanam 9 2003 The class group of integral domains. Zbl 1053.13003 Anderson, David F.; Chang, Gyu Whan 8 2003 The class group of \(D[X^2,X^3]\). Zbl 1092.13504 Anderson, David F.; Chang, Gyu Whan 4 2003 \(D[X^2, X^3]\) over an integral domain \(D\). Zbl 1080.13510 Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 2 2003 Divisibility conditions in commutative rings with zerodivisors. Zbl 1063.13003 Anderson, David F.; Badawi, Ayman 9 2002 Factorable domains. Zbl 1088.13512 Anderson, David F.; Kim, Hwankoo; Park, Jeanam 6 2002 The zero-divisor graph of a commutative ring. II. Zbl 1035.13004 Anderson, David F.; Frazier, Andrea; Lauve, Aaron; Livingston, Philip S. 98 2001 The ring \(D+XD_S[X]\) and \(t\)-splitting sets. Zbl 1271.13004 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 26 2001 The \(A+ XB[X]\) and \(A+ XB[[X]]\) constructions from \(GCD\)-domains. Zbl 1004.13004 Anderson, David F.; Nour El Abidine, Driss 12 2001 The class group and local class group of an integral domain. Zbl 1068.13010 Anderson, David F. 16 2000 On the elasticities of Krull domains with finite cyclic divisor class group. Zbl 0964.13001 Anderson, David F.; Chapman, Scott T. 10 2000 Pseudo-valuation rings. II. Zbl 0972.13003 Anderson, David F.; Badawi, Ayman; Dobbs, David E. 4 2000 The zero-divisor graph of a commutative ring. Zbl 0941.05062 Anderson, David F.; Livingston, Philip S. 666 1999 Factorization in integral domains. III. Zbl 0933.13001 Anderson, David F.; Nour El Abidine, Driss 20 1999 On the class group of \(A+XB[X]\) domains. Zbl 0979.13010 Anderson, David F.; El Baghdadi, Said; Kabbaj, Salah-Eddine 10 1999 Rooty and root closed domains. Zbl 0984.13007 Anderson, David F.; Park, Jeanam 3 1999 Root closure in commutative rings: A survey. Zbl 0990.13004 Anderson, David F. 1 1999 GCD-sets in integral domains. Zbl 0971.13001 Anderson, D. D.; Anderson, David F.; Park, Jeanam 1 1999 Splitting multiplicative sets and elasticity. Zbl 0932.13012 Anderson, David F.; Park, Jeanam; Kim, Gi-Ik; Oh, Heung-Joon 1 1998 Elasticity of factorizations in integral domains: A survey. Zbl 0903.13008 Anderson, David F. 31 1997 Pseudo-valuation rings. Zbl 0880.13011 Badawi, Ayman; Anderson, David F.; Dobbs, David E. 19 1997 Factorization in subrings of \(K[X]\) or \(K[[X]]\). Zbl 0902.13014 Anderson, David F.; Park, Jaenam 4 1997 When is a power series ring \(n\)-root closed? Zbl 0926.13012 Anderson, David F.; Dobbs, David E.; Roitman, Moshe 3 1997 Factorization in \(K[S]\). Zbl 0870.20048 Anderson, David F.; Scherpenisse, Carla 1 1997 Factorization in \(K[[S]]\). Zbl 0898.13015 Anderson, David F.; Winner, Janice 1 1997 Some factorization properties of the ring of integer-valued polynomials. Zbl 0883.13018 Anderson, David F.; Cahen, Paul-Jean; Chapman, Scott T.; Smith, William W. 11 1995 Factorization in \(K[X^ n,X^{n+1},\dots,X^{2n-1}]\). Zbl 0828.13014 Anderson, David F.; Jenkens, Susanne 6 1995 A generalization of unique factorization. Zbl 0919.13001 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 6 1995 The ring \(R[X,r/X]\). Zbl 0883.13002 Anderson, Daniel D.; Anderson, David F. 3 1995 Overrings of half-factorial domains. II. Zbl 0853.13013 Anderson, David F.; Chapman, Scott T.; Smith, William W. 2 1995 Factorization sets and half-factorial sets in integral domains. Zbl 0863.13007 Anderson, David F.; Chapman, Scott T.; Smith, William W. 2 1995 Zero-dimensional commutative rings. Proceedings of the 1994 John H. Barrett memorial lectures and conference on commutative ring theory, Knoxville, TN, USA, April 7–9, 1994. Zbl 0872.00033 1 1995 Some factorization properties of Krull domains with infinite cyclic divisor class group. Zbl 0831.13001 Anderson, David F.; Chapman, Scott T.; Smith, William W. 20 1994 Factorization in \(K[X^ 2,X^ 3]\). Zbl 0784.13010 Anderson, David F.; Chapman, Scott; Inman, Faith; Smith, W. W. 8 1994 Elasticity of factorizations in integral domains. II. Zbl 0838.13002 Anderson, D. D.; Anderson, David F. 7 1994 On Krull half-factorial domains with infinite cyclic divisor class group. Zbl 0815.13002 Anderson, David F.; Chapman, Scott T.; Smith, William W. 6 1994 Overrings of half-factorial domains. Zbl 0815.13001 Anderson, David F.; Chapman, Scott T.; Smith, William W. 4 1994 Rational elasticity of factorizations in Krull domains. Zbl 0777.13003 Anderson, D. D.; Anderson, David F.; Chapman, Scott T.; Smith, William W. 18 1993 Elasticity of factorizations in integral domains. Zbl 0773.13003 Anderson, D. D.; Anderson, David F. 46 1992 Factorization in integral domains. II. Zbl 0776.13001 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 44 1992 Atomic domains in which almost all atoms are prime. Zbl 0749.13012 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammed 28 1992 Catenarity of formal power series rings over a pullback. Zbl 0771.13011 Anderson, David F.; Dobbs, David E.; Fontana, Marco; Khalis, Mohammed 4 1992 Hilbert rings arising as pullbacks. Zbl 0757.13009 Anderson, David F.; Dobbs, David E.; Fontana, Marco 3 1992 Star operations and the \(D + M\) construction. Zbl 0777.13004 Anderson, David F. 1 1992 Splitting the t-class group. Zbl 0760.13006 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 42 1991 Rings between D[X] and K[X]. Zbl 0736.13015 Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 25 1991 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,260 Authors 81 Anderson, David Fenimore 61 Anderson, Daniel D. 61 Chang, Gyu Whan 50 Dobbs, David Earl 46 Zafrullah, Muhammad 42 Chapman, Scott Thomas 36 Tamizh Chelvam, Thirugnanam 31 Fontana, Marco 29 Khashyarmanesh, Kazem 28 Badawi, Ayman 27 Mahdou, Najib 25 Kim, Hwankoo 25 Mimouni, Abdeslam 24 Afkhami, Mojgan 23 Geroldinger, Alfred 22 Akbari, Saieed 22 Asir, Thangaraj 22 Wu, Tongsuo 21 Kabbaj, Salah-Eddine 21 Selvakumar, Krishnan 21 Visweswaran, Subramanian 20 LaGrange, John David 20 Nikandish, Reza 20 Pirzada, Shariefuddin 19 Dumitrescu, Tiberiu 19 Gotti, Felix 19 Houston, Evan G. jun. 18 Hashemi, Ebrahim 18 Lim, Jung Wook 18 Lucas, Thomas George 18 Nikmehr, Mohammad Javad 17 Juett, Jason Robert 16 Jarboui, Noômen 15 Coykendall, James 15 Wong, Dein 14 Alhevaz, Abdollah 14 Ayache, Ahmed 14 Baeth, Nicholas R. 14 Barati, Zahra 14 Smith, William W. 13 Roitman, Moshe 13 Tekir, Unsal 12 Jespers, Eric 12 Joshi, Vinayak V. 12 Park, Mi Hee 12 Rehman, Nadeem-Ur 11 El Baghdadi, Said 11 Gaur, Atul 11 Nazim, Mohd 11 Sahandi, Parviz 11 Darani, Ahmad Yousefian 10 Gabelli, Stefania 10 Goswami, Jituparna 10 Koç, Suat 10 Mooney, Christopher Park 10 Payrovi, Shiroyeh 10 Redmond, Shane P. 10 Tamoussit, Ali 10 Tehranian, Abolfazl 10 Tian, Fenglei 9 Akgunes, Nihat 9 Ansari-Toroghy, Habibollah 9 Benhissi, Ali 9 Celikel, Ece Yetkin 9 El Khalfi, Abdelhaq 9 Finocchiaro, Carmelo Antonio 9 Kuzmina, Anna S. 9 Lu, Dancheng 9 O’Neill, Christopher 9 Picavet, Gabriel 9 Rahimi, Amir Massoud 9 Reinhart, Andreas 9 Spirito, Dario 8 Das, Angsuman 8 Halter-Koch, Franz 8 Hamed, Ahmed 8 Hassler, Wolfgang 8 Hizem, Sana 8 Issoual, Mohammed 8 Kumar, Rahul 8 Maimani, Hamid Reza 8 Mostafanasab, Hojjat 8 Picavet-L’Hermitte, Martine 8 Picozza, Giampaolo 8 Shapiro, Jay Allen 8 Wang, Fanggui 8 Wauters, Paul 8 Zhong, Qinghai 7 Abbasi, Ahmad 7 Axtell, Michael C. 7 Barucci, Valentina 7 Bennis, Driss 7 Bouchiba, Samir 7 Cahen, Paul-Jean 7 Dolžan, David 7 Ebrahimi Atani, Shahabaddin 7 Kang, Byung Gyun 7 Khoramdel, Mehdi 7 Momtahan, Ehsan 7 Oh, Dong Yeol ...and 1,160 more Authors all top 5 Cited in 251 Serials 291 Communications in Algebra 159 Journal of Algebra and its Applications 123 Journal of Algebra 99 Journal of Pure and Applied Algebra 34 Discrete Mathematics, Algorithms and Applications 26 Rocky Mountain Journal of Mathematics 24 AKCE International Journal of Graphs and Combinatorics 24 Asian-European Journal of Mathematics 23 Journal of Commutative Algebra 22 Beiträge zur Algebra und Geometrie 20 Proceedings of the American Mathematical Society 20 Semigroup Forum 20 Palestine Journal of Mathematics 20 Journal of Algebraic Systems 19 Ricerche di Matematica 16 Linear Algebra and its Applications 16 Turkish Journal of Mathematics 15 Linear and Multilinear Algebra 15 Communications of the Korean Mathematical Society 15 Afrika Matematika 14 Discrete Mathematics 13 Journal of the Korean Mathematical Society 13 Rendiconti del Circolo Matemàtico di Palermo. 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Terceira Série 6 São Paulo Journal of Mathematical Sciences 5 American Mathematical Monthly 5 Israel Journal of Mathematics 5 Bulletin of the Iranian Mathematical Society 5 Journal of Mathematical Chemistry 5 Journal of Discrete Mathematical Sciences & Cryptography 5 Kragujevac Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Automatica 4 Commentationes Mathematicae Universitatis Carolinae 4 Czechoslovak Mathematical Journal 4 Glasgow Mathematical Journal 4 Journal of Number Theory 4 Monatshefte für Mathematik 4 Forum Mathematicum 4 The New York Journal of Mathematics 4 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. 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Third Series 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 JP Journal of Algebra, Number Theory and Applications 3 SIAM Journal on Applied Dynamical Systems 3 Multiscale Modeling & Simulation 3 Algebra and Discrete Mathematics 3 Mediterranean Journal of Mathematics 3 International Journal of Combinatorics ...and 151 more Serials all top 5 Cited in 41 Fields 1,259 Commutative algebra (13-XX) 713 Combinatorics (05-XX) 271 Associative rings and algebras (16-XX) 236 Group theory and generalizations (20-XX) 83 Number theory (11-XX) 76 Order, lattices, ordered algebraic structures (06-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 39 Algebraic geometry (14-XX) 33 Biology and other natural sciences (92-XX) 13 \(K\)-theory (19-XX) 10 Field theory and polynomials (12-XX) 10 Nonassociative rings and algebras (17-XX) 10 Ordinary differential equations (34-XX) 10 General topology (54-XX) 10 Probability theory and stochastic processes (60-XX) 9 Category theory; homological algebra (18-XX) 9 Numerical analysis (65-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Partial differential equations (35-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year