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: 173 Publications since 1978, including 1 Book 1 Contribution as Editor Reviewing Activity: 215 Reviews Biographic References: 3 Publications Co-Authors: 67 Co-Authors with 142 Joint Publications 790 Co-Co-Authors all top 5 Co-Authors 30 single-authored 31 Anderson, Daniel D. 27 Dobbs, David Earl 20 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 Arnold, Jimmy T. 2 Bouvier, Alain 2 Houston, Evan G. jun. 2 Livingston, Philip S. 2 Roitman, Moshe 2 Shapiro, Jay Allen 2 Shirinkam, Sara 1 Acharya, Belmannu Devadas 1 Al-Kaseasbeh, Saba 1 Asir, Thangaraj 1 Axtell, Michael C. 1 Barucci, Valentina 1 Cahen, Paul-Jean 1 Costa, Douglas L. 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 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 8 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 164 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) 4 History and biography (01-XX) 4 Number theory (11-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-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 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 149 Publications have been cited 3,154 times in 1,636 Documents Cited by ▼ Year ▼ The zero-divisor graph of a commutative ring. Zbl 0941.05062Anderson, David F.; Livingston, Philip S. 608 1999 The total graph of a commutative ring. Zbl 1158.13001Anderson, David F.; Badawi, Ayman 189 2008 Factorization in integral domains. Zbl 0727.13007Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 141 1990 Zero-divisor graphs, von Neumann regular rings, and Boolean algebras. Zbl 1076.13001Anderson, David F.; Levy, Ron; Shapiro, Jay 120 2003 Pairs of rings with the same prime ideals. Zbl 0406.13001Anderson, David F.; Dobbs, David E. 97 1980 The zero-divisor graph of a commutative ring. II. Zbl 1035.13004Anderson, David F.; Frazier, Andrea; Lauve, Aaron; Livingston, Philip S. 95 2001 On the diameter and girth of a zero-divisor graph. Zbl 1119.13005Anderson, David F.; Mulay, S. B. 87 2007 On \(n\)-absorbing ideals of commutative rings. Zbl 1232.13001Anderson, David F.; Badawi, Ayman 80 2011 Zero-divisor graphs in commutative rings. Zbl 1225.13002Anderson, David F.; Axtell, Michael C.; Stickles, Joe A. jun. 76 2011 On the zero-divisor graph of a ring. Zbl 1152.13001Anderson, David F.; Badawi, Ayman 68 2008 The rings R(X) and \(R<X>\). Zbl 0621.13008Anderson, D. D.; Anderson, David F.; Markanda, Raj 49 1985 Divisibility properties of graded domains. Zbl 0437.13001Anderson, D. D.; Anderson, David F. 47 1982 Elasticity of factorizations in integral domains. Zbl 0773.13003Anderson, D. D.; Anderson, David F. 44 1992 Factorization in integral domains. II. Zbl 0776.13001Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 44 1992 Divisorial ideals and invertible ideals in a graded integral domain. Zbl 0483.13004Anderson, D. D.; Anderson, David F. 43 1982 On Jaffard domains. Zbl 0657.13011Anderson, David F.; Bouvier, Alain; Dobbs, David E.; Fontana, Marco; Kabbaj, Salah 41 1988 The class group of \(D+M\). Zbl 0668.13013Anderson, David F.; Ryckaert, Alain 41 1988 Splitting the t-class group. Zbl 0760.13006Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 40 1991 Graded Krull domains. Zbl 0402.13013Anderson, David F. 40 1979 The generalized total graph of a commutative ring. Zbl 1272.13003Anderson, David F.; Badawi, Ayman 38 2013 On the total graph of a commutative ring without the zero element. Zbl 1247.13004Anderson, David F.; Badawi, Ayman 35 2012 Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph. Zbl 1254.13003Anderson, David F.; LaGrange, John D. 32 2012 Elasticity of factorizations in integral domains: A survey. Zbl 0903.13008Anderson, David F. 31 1997 A general theory of class groups. Zbl 0648.13002Anderson, David F. 30 1988 Coherent Mori domains and the principal ideal theorem. Zbl 0622.13007Barucci, Valentina; Anderson, David F.; Dobbs, David E. 29 1987 Atomic domains in which almost all atoms are prime. Zbl 0749.13012Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammed 28 1992 Global asymptotic stability for a class of nonlinear chemical equations. Zbl 1151.92038Anderson, David F. 28 2008 Generalized GCD domains. Zbl 0434.13001Anderson, D. D.; Anderson, D. F. 27 1980 Examples of star operations on integral domains. Zbl 0715.13001Anderson, D. D.; Anderson, David F. 26 1990 The ring \(D+XD_S[X]\) and \(t\)-splitting sets. Zbl 1271.13004Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 26 2001 Von Neumann regular and related elements in commutative rings. Zbl 1294.13029Anderson, David F.; Badawi, Ayman 25 2012 Some remarks on the compressed zero-divisor graph. Zbl 1330.13003Anderson, David F.; LaGrange, John D. 24 2016 On \(\phi\)-Prüfer rings and \(\phi\)-Bezout rings. Zbl 1089.13513Anderson, David F.; Badawi, Ayman 23 2004 Homogeneous splitting sets of a graded integral domain. Zbl 1084.13001Anderson, David F.; Chang, Gyu Whan 22 2005 Rings between D[X] and K[X]. Zbl 0736.13015Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 22 1991 On \(\phi\)-Dedekind rings and \(\phi\)-Krull rings. Zbl 1094.13030Anderson, David F.; Badawi, Ayman 22 2005 Graded integral domains and Nagata rings. Zbl 1287.13003Anderson, David F.; Chang, Gyu Whan 20 2013 Factorization in integral domains. III. Zbl 0933.13001Anderson, David F.; Nour El Abidine, Driss 20 1999 Some factorization properties of Krull domains with infinite cyclic divisor class group. Zbl 0831.13001Anderson, David F.; Chapman, Scott T.; Smith, William W. 20 1994 How far is an element from being prime? Zbl 1203.13001Anderson, David F.; Chapman, Scott T. 19 2010 Rational elasticity of factorizations in Krull domains. Zbl 0777.13003Anderson, D. D.; Anderson, David F.; Chapman, Scott T.; Smith, William W. 18 1993 Pseudo-integrality. Zbl 0687.13005Anderson, David F.; Houston, Evan G.; Zafrullah, Muhammad 18 1991 On seminormal overrings. Zbl 0496.13001Anderson, David F.; Dobbs, David E.; Huckaba, James A. 17 1982 Pseudo-valuation rings. Zbl 0880.13011Badawi, Ayman; Anderson, David F.; Dobbs, David E. 16 1997 The class group and local class group of an integral domain. Zbl 1068.13010Anderson, David F. 15 2000 An algorithm to compute \(\omega\)-primality in a numerical monoid. Zbl 1218.20038Anderson, David F.; Chapman, Scott T.; Kaplan, Nathan; Torkornoo, Desmond 15 2011 Some remarks on star operations and the class group. Zbl 0652.13002Anderson, D. D.; Anderson, David F. 14 1988 Projective modules over subrings of \(k[x,y]\) generated by monomials. Zbl 0372.13006Anderson, David F. 13 1979 Subrings of \(k[x,y]\) generated by monomials. Zbl 0395.13002Anderson, David F. 13 1978 Some remarks on cancellation ideals. Zbl 0552.13001Anderson, D. D.; Anderson, David F. 13 1984 On \((m,n)\)-closed ideals of commutative rings. Zbl 1355.13004Anderson, David F.; Badawi, Ayman 12 2017 On \(v\)-domains and star operations. Zbl 1185.13003Anderson, D. D.; Anderson, David F.; Fontana, Marco; Zafrullah, Muhammad 12 2009 The \(A+ XB[X]\) and \(A+ XB[[X]]\) constructions from \(GCD\)-domains. Zbl 1004.13004Anderson, David F.; Nour El Abidine, Driss 12 2001 Root closure in integral domains. Zbl 0497.13004Anderson, David F. 12 1982 Weakly Krull and related domains of the form \(D+M, A+XB[X]\) and \(A+X^2B[X]\). Zbl 1133.13022Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 12 2006 The divisor class group of a semigroup ring. Zbl 0437.13010Anderson, David F. 11 1980 Comparability of ideals and valuation overrings. Zbl 0407.13001Anderson, David F. 11 1979 When the dual of an ideal is a ring. Zbl 0526.13015Anderson, David F. 11 1983 On the elasticities of Krull domains with finite cyclic divisor class group. Zbl 0964.13001Anderson, David F.; Chapman, Scott T. 10 2000 On the class group of \(A+XB[X]\) domains. Zbl 0979.13010Anderson, David F.; El Baghdadi, Said; Kabbaj, Salah-Eddine 10 1999 Some factorization properties of the ring of integer-valued polynomials. Zbl 0883.13018Anderson, David F.; Cahen, Paul-Jean; Chapman, Scott T.; Smith, William W. 10 1995 On the diameter and girth of a zero-divisor graph. II. Zbl 1151.13002Anderson, David F. 10 2008 Length functions on integral domains. Zbl 0738.13018Anderson, David F.; Pruis, Paula 10 1991 On treed Nagata rings. Zbl 0691.13005Anderson, David F.; Dobbs, David E.; Fontana, Marco 10 1989 Valuations and semi-valuations of graded domains. Zbl 0442.13002Anderson, David F.; Ohm, Jack 9 1981 On the generalized principal ideal theorem and Krull domains. Zbl 0746.13007Anderson, David F.; Dobbs, David E.; Eakin, Paul M. jun.; Heinzer, William J. 9 1990 Generalized weakly factorial domains. Zbl 1029.13012Anderson, David F.; Chang, Guy Whan; Park, Jeanam 9 2003 Graded-valuation domains. Zbl 1390.13002Anderson, D. D.; Anderson, David F.; Chang, Gyu Whan 9 2017 The zero-divisor graph of a commutative ring without identity. Zbl 1440.13033Anderson, David F.; Weber, Darrin 9 2018 Divisibility conditions in commutative rings with zerodivisors. Zbl 1063.13003Anderson, David F.; Badawi, Ayman 8 2002 The class group of integral domains. Zbl 1053.13003Anderson, David F.; Chang, Gyu Whan 8 2003 Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups. Zbl 1143.13025Anderson, David; Fontana, Marco; Zafrullah, Muhammad 8 2008 Factorization in \(K[X^ 2,X^ 3]\). Zbl 0784.13010Anderson, David F.; Chapman, Scott; Inman, Faith; Smith, W. W. 8 1994 Universally catenarian domains of \(D+M\) type. Zbl 0691.13012Anderson, David F.; Dobbs, David E.; Kabbaj, Salah; Mulay, S. B. 8 1988 Weak error analysis of numerical methods for stochastic models of population processes. Zbl 1411.60103Anderson, David F.; Koyama, Masanori 8 2012 Graphs from rings. Zbl 1486.13001Anderson, David F.; Asir, T.; Badawi, Ayman; Chelvam, T. Tamizh 8 2021 The Picard group of a monoid domain. Zbl 0651.13009Anderson, David F. 7 1988 Almost splitting sets in integral domains. II. Zbl 1171.13300Anderson, David F.; Chang, Gyu Whan 7 2007 Root closure in commutative rings. Zbl 0735.13004Anderson, David F.; Dobbs, David E.; Roitman, Moshe 7 1990 Elasticity of factorizations in integral domains. II. Zbl 0838.13002Anderson, D. D.; Anderson, David F. 7 1994 The zero-divisor graph of a commutative semigroup: a survey. Zbl 1436.20113Anderson, David F.; Badawi, Ayman 7 2017 Locally factorial integral domains. Zbl 0545.13007Anderson, D. D.; Anderson, David F. 7 1984 A general theory of zero-divisor graphs over a commutative ring. Zbl 1343.13013Anderson, David F.; Lewis, Elizabeth F. 7 2016 Abian’s poset and the ordered monoid of annihilator classes in a reduced commutative ring. Zbl 1317.06020Anderson, David F.; LaGrange, John D. 6 2014 On Krull half-factorial domains with infinite cyclic divisor class group. Zbl 0815.13002Anderson, David F.; Chapman, Scott T.; Smith, William W. 6 1994 Some ideal-theoretic conditions on a Noetherian ring. Zbl 0467.13013Anderson, D. D.; Anderson, D. F.; Johnson, E. W. 6 1981 Factorization in \(K[X^ n,X^{n+1},\dots,X^{2n-1}]\). Zbl 0828.13014Anderson, David F.; Jenkens, Susanne 6 1995 A generalization of unique factorization. Zbl 0919.13001Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 6 1995 Factorable domains. Zbl 1088.13512Anderson, David F.; Kim, Hwankoo; Park, Jeanam 6 2002 Generalizations of the zero-divisor graph. Zbl 1430.05133Anderson, David F.; Mcclurkin, Grace 6 2020 The subgroup graph of a group. Zbl 1255.05093Anderson, David F.; Fasteen, Jodi; LaGrange, John D. 6 2012 On bounding measures of primeness in integral domains. Zbl 1251.13002Anderson, David F.; Chapman, Scott T. 6 2012 Factorization in integral domains. IV. Zbl 1216.13001Anderson, D. D.; Anderson, David F. 6 2010 Some finiteness and divisibility conditions on the proper overrings of an integral domain. Zbl 0535.13005Anderson, D. D.; Anderson, David F.; Dobbs, David E.; Houston, Evan G. 6 1984 Multiplicatively closed subsets of fields. Zbl 0628.13005Anderson, D. D.; Anderson, David F. 5 1987 Seminormal graded rings. Zbl 0465.13002Anderson, David F. 5 1981 On the product of ideals. Zbl 0468.13013Anderson, David F.; Dobbs, David E. 5 1983 Graded Prüfer domains. Zbl 1397.13001Anderson, David F.; Chang, Gyu Whan; Zafrullah, Muhammad 5 2018 Non-catenary factorial domains. Zbl 0698.13005Anderson, David F.; Mulay, S. B. 5 1989 Bounded and finite factorization domains. Zbl 1498.13003Anderson, David F.; Gotti, Felix 5 2021 Graphs from rings. Zbl 1486.13001Anderson, David F.; Asir, T.; Badawi, Ayman; Chelvam, T. Tamizh 8 2021 Bounded and finite factorization domains. Zbl 1498.13003Anderson, David F.; Gotti, Felix 5 2021 On \(n\)-semiprimary ideals and \(n\)-pseudo valuation domains. Zbl 1453.13006Anderson, David F.; Badawi, Ayman 1 2021 Generalizations of the zero-divisor graph. Zbl 1430.05133Anderson, David F.; Mcclurkin, Grace 6 2020 The zero-divisor graph of a commutative ring without identity. Zbl 1440.13033Anderson, David F.; Weber, Darrin 9 2018 Graded Prüfer domains. Zbl 1397.13001Anderson, David F.; Chang, Gyu Whan; Zafrullah, Muhammad 5 2018 Weakly \((m,n)\)-closed ideals and \((m,n)\)-von Neumann regular rings. Zbl 1401.13008Anderson, David F.; Badawi, Ayman; Fahid, Brahim 2 2018 On \((m,n)\)-closed ideals of commutative rings. Zbl 1355.13004Anderson, David F.; Badawi, Ayman 12 2017 Graded-valuation domains. Zbl 1390.13002Anderson, D. D.; Anderson, David F.; Chang, Gyu Whan 9 2017 The zero-divisor graph of a commutative semigroup: a survey. Zbl 1436.20113Anderson, David F.; Badawi, Ayman 7 2017 Completely integrally closed Prüfer \(v\)-multiplication domains. Zbl 1387.13009Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 5 2017 On locally AGCD domains. Zbl 1429.13001Anderson, David F.; Chang, Gyu Whan; Zafrullah, Muhammad 1 2017 Some remarks on the compressed zero-divisor graph. Zbl 1330.13003Anderson, David F.; LaGrange, John D. 24 2016 A general theory of zero-divisor graphs over a commutative ring. Zbl 1343.13013Anderson, David F.; Lewis, Elizabeth F. 7 2016 Graded integral domains whose nonzero homogeneous ideals are invertible. Zbl 1357.13002Anderson, David F.; Chang, Gyu Whan 3 2016 The semilattice of annihilator classes in a reduced commutative ring. Zbl 1318.13010Anderson, David F.; LaGrange, John D. 3 2015 Abian’s poset and the ordered monoid of annihilator classes in a reduced commutative ring. Zbl 1317.06020Anderson, David F.; LaGrange, John D. 6 2014 The ideal-based zero-divisor graph of commutative chained rings. Zbl 1301.05163Anderson, D. F.; Atani, S. Ebrahimi; Kohan, M. Shajari; Sarvandi, Z. Ebrahimi 1 2014 Some remarks on the graph \({\Gamma}_{I}(R)\). Zbl 1288.13001Anderson, David F.; Shirinkam, Sara 1 2014 The generalized total graph of a commutative ring. Zbl 1272.13003Anderson, David F.; Badawi, Ayman 38 2013 Graded integral domains and Nagata rings. Zbl 1287.13003Anderson, David F.; Chang, Gyu Whan 20 2013 On the total graph of a commutative ring without the zero element. Zbl 1247.13004Anderson, David F.; Badawi, Ayman 35 2012 Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph. Zbl 1254.13003Anderson, David F.; LaGrange, John D. 32 2012 Von Neumann regular and related elements in commutative rings. Zbl 1294.13029Anderson, David F.; Badawi, Ayman 25 2012 Weak error analysis of numerical methods for stochastic models of population processes. Zbl 1411.60103Anderson, David F.; Koyama, Masanori 8 2012 The subgroup graph of a group. Zbl 1255.05093Anderson, David F.; Fasteen, Jodi; LaGrange, John D. 6 2012 On bounding measures of primeness in integral domains. Zbl 1251.13002Anderson, David F.; Chapman, Scott T. 6 2012 On the diameter of the graph \(\Gamma_{\mathrm{Ann}(M)}(R)\). Zbl 1289.05201Anderson, David F.; Ghalandarzadeh, Shaban; Shirinkam, Sara; Rad, Parastoo Malakooti 3 2012 The \(v\)-operation in extensions of integral domains. Zbl 1246.13009Anderson, David F.; El Baghdadi, Said; Zafrullah, Muhammad 1 2012 On \(n\)-absorbing ideals of commutative rings. Zbl 1232.13001Anderson, David F.; Badawi, Ayman 80 2011 Zero-divisor graphs in commutative rings. Zbl 1225.13002Anderson, David F.; Axtell, Michael C.; Stickles, Joe A. jun. 76 2011 An algorithm to compute \(\omega\)-primality in a numerical monoid. Zbl 1218.20038Anderson, David F.; Chapman, Scott T.; Kaplan, Nathan; Torkornoo, Desmond 15 2011 How far is an element from being prime? Zbl 1203.13001Anderson, David F.; Chapman, Scott T. 19 2010 Factorization in integral domains. IV. Zbl 1216.13001Anderson, D. D.; Anderson, David F. 6 2010 On \(v\)-domains and star operations. Zbl 1185.13003Anderson, D. D.; Anderson, David F.; Fontana, Marco; Zafrullah, Muhammad 12 2009 The total graph of a commutative ring. Zbl 1158.13001Anderson, David F.; Badawi, Ayman 189 2008 On the zero-divisor graph of a ring. Zbl 1152.13001Anderson, David F.; Badawi, Ayman 68 2008 Global asymptotic stability for a class of nonlinear chemical equations. Zbl 1151.92038Anderson, David F. 28 2008 On the diameter and girth of a zero-divisor graph. II. Zbl 1151.13002Anderson, David F. 10 2008 Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups. Zbl 1143.13025Anderson, David; Fontana, Marco; Zafrullah, Muhammad 8 2008 On the diameter and girth of a zero-divisor graph. Zbl 1119.13005Anderson, David F.; Mulay, S. B. 87 2007 Almost splitting sets in integral domains. II. Zbl 1171.13300Anderson, David F.; Chang, Gyu Whan 7 2007 Weakly Krull and related domains of the form \(D+M, A+XB[X]\) and \(A+X^2B[X]\). Zbl 1133.13022Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 12 2006 Robert Gilmer’s work on semigroup rings. Zbl 1115.13001Anderson, David F. 1 2006 How far is an HFD from a UFD? Zbl 1103.13012Anderson, David F.; Mclaughlin, Elizabeth V. 1 2006 Homogeneous splitting sets of a graded integral domain. Zbl 1084.13001Anderson, David F.; Chang, Gyu Whan 22 2005 On \(\phi\)-Dedekind rings and \(\phi\)-Krull rings. Zbl 1094.13030Anderson, David F.; Badawi, Ayman 22 2005 The \(m\)-complement of a multiplicative set. Zbl 1120.13019Anderson, David F.; Chang, Gyu Whan 4 2005 Divisibility properties in graded integral domains. Zbl 1079.13001Anderson, David F. 3 2005 A general theory of splitting sets. Zbl 1117.13003Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 1 2005 On \(\phi\)-Prüfer rings and \(\phi\)-Bezout rings. Zbl 1089.13513Anderson, David F.; Badawi, Ayman 23 2004 The class group of \(D[\Gamma]\) for \(D\) an integral domain and \(\Gamma\) a numerical semigroup. Zbl 1092.13017Anderson, David F.; Chang, Gyu Whan 2 2004 Zero-divisor graphs, von Neumann regular rings, and Boolean algebras. Zbl 1076.13001Anderson, David F.; Levy, Ron; Shapiro, Jay 120 2003 Generalized weakly factorial domains. Zbl 1029.13012Anderson, David F.; Chang, Guy Whan; Park, Jeanam 9 2003 The class group of integral domains. Zbl 1053.13003Anderson, David F.; Chang, Gyu Whan 8 2003 The class group of \(D[X^2,X^3]\). Zbl 1092.13504Anderson, David F.; Chang, Gyu Whan 3 2003 \(D[X^2, X^3]\) over an integral domain \(D\). Zbl 1080.13510Anderson, David F.; Chang, Gyu Whan; Park, Jeanam 2 2003 Divisibility conditions in commutative rings with zerodivisors. Zbl 1063.13003Anderson, David F.; Badawi, Ayman 8 2002 Factorable domains. Zbl 1088.13512Anderson, David F.; Kim, Hwankoo; Park, Jeanam 6 2002 The zero-divisor graph of a commutative ring. II. Zbl 1035.13004Anderson, David F.; Frazier, Andrea; Lauve, Aaron; Livingston, Philip S. 95 2001 The ring \(D+XD_S[X]\) and \(t\)-splitting sets. Zbl 1271.13004Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 26 2001 The \(A+ XB[X]\) and \(A+ XB[[X]]\) constructions from \(GCD\)-domains. Zbl 1004.13004Anderson, David F.; Nour El Abidine, Driss 12 2001 The class group and local class group of an integral domain. Zbl 1068.13010Anderson, David F. 15 2000 On the elasticities of Krull domains with finite cyclic divisor class group. Zbl 0964.13001Anderson, David F.; Chapman, Scott T. 10 2000 Pseudo-valuation rings. II. Zbl 0972.13003Anderson, David F.; Badawi, Ayman; Dobbs, David E. 4 2000 The zero-divisor graph of a commutative ring. Zbl 0941.05062Anderson, David F.; Livingston, Philip S. 608 1999 Factorization in integral domains. III. Zbl 0933.13001Anderson, David F.; Nour El Abidine, Driss 20 1999 On the class group of \(A+XB[X]\) domains. Zbl 0979.13010Anderson, David F.; El Baghdadi, Said; Kabbaj, Salah-Eddine 10 1999 Rooty and root closed domains. Zbl 0984.13007Anderson, David F.; Park, Jeanam 3 1999 GCD-sets in integral domains. Zbl 0971.13001Anderson, D. D.; Anderson, David F.; Park, Jeanam 1 1999 Splitting multiplicative sets and elasticity. Zbl 0932.13012Anderson, David F.; Park, Jeanam; Kim, Gi-Ik; Oh, Heung-Joon 1 1998 Elasticity of factorizations in integral domains: A survey. Zbl 0903.13008Anderson, David F. 31 1997 Pseudo-valuation rings. Zbl 0880.13011Badawi, Ayman; Anderson, David F.; Dobbs, David E. 16 1997 Factorization in subrings of \(K[X]\) or \(K[[X]]\). Zbl 0902.13014Anderson, David F.; Park, Jaenam 4 1997 When is a power series ring \(n\)-root closed? Zbl 0926.13012Anderson, David F.; Dobbs, David E.; Roitman, Moshe 3 1997 Factorization in \(K[S]\). Zbl 0870.20048Anderson, David F.; Scherpenisse, Carla 1 1997 Factorization in \(K[[S]]\). Zbl 0898.13015Anderson, David F.; Winner, Janice 1 1997 Some factorization properties of the ring of integer-valued polynomials. Zbl 0883.13018Anderson, David F.; Cahen, Paul-Jean; Chapman, Scott T.; Smith, William W. 10 1995 Factorization in \(K[X^ n,X^{n+1},\dots,X^{2n-1}]\). Zbl 0828.13014Anderson, David F.; Jenkens, Susanne 6 1995 A generalization of unique factorization. Zbl 0919.13001Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 6 1995 The ring \(R[X,r/X]\). Zbl 0883.13002Anderson, Daniel D.; Anderson, David F. 3 1995 Overrings of half-factorial domains. II. Zbl 0853.13013Anderson, David F.; Chapman, Scott T.; Smith, William W. 2 1995 Factorization sets and half-factorial sets in integral domains. Zbl 0863.13007Anderson, 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 0831.13001Anderson, David F.; Chapman, Scott T.; Smith, William W. 20 1994 Factorization in \(K[X^ 2,X^ 3]\). Zbl 0784.13010Anderson, David F.; Chapman, Scott; Inman, Faith; Smith, W. W. 8 1994 Elasticity of factorizations in integral domains. II. Zbl 0838.13002Anderson, D. D.; Anderson, David F. 7 1994 On Krull half-factorial domains with infinite cyclic divisor class group. Zbl 0815.13002Anderson, David F.; Chapman, Scott T.; Smith, William W. 6 1994 Overrings of half-factorial domains. Zbl 0815.13001Anderson, David F.; Chapman, Scott T.; Smith, William W. 4 1994 Rational elasticity of factorizations in Krull domains. Zbl 0777.13003Anderson, D. D.; Anderson, David F.; Chapman, Scott T.; Smith, William W. 18 1993 Elasticity of factorizations in integral domains. Zbl 0773.13003Anderson, D. D.; Anderson, David F. 44 1992 Factorization in integral domains. II. Zbl 0776.13001Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 44 1992 Atomic domains in which almost all atoms are prime. Zbl 0749.13012Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammed 28 1992 Catenarity of formal power series rings over a pullback. Zbl 0771.13011Anderson, David F.; Dobbs, David E.; Fontana, Marco; Khalis, Mohammed 4 1992 Hilbert rings arising as pullbacks. Zbl 0757.13009Anderson, David F.; Dobbs, David E.; Fontana, Marco 3 1992 Star operations and the \(D + M\) construction. Zbl 0777.13004Anderson, David F. 1 1992 Splitting the t-class group. Zbl 0760.13006Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 40 1991 Rings between D[X] and K[X]. Zbl 0736.13015Anderson, D. D.; Anderson, David F.; Zafrullah, Muhammad 22 1991 Pseudo-integrality. Zbl 0687.13005Anderson, David F.; Houston, Evan G.; Zafrullah, Muhammad 18 1991 Length functions on integral domains. Zbl 0738.13018Anderson, David F.; Pruis, Paula 10 1991 ...and 49 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,206 Authors 81 Anderson, David Fenimore 61 Anderson, Daniel D. 60 Chang, Gyu Whan 50 Dobbs, David Earl 45 Zafrullah, Muhammad 41 Chapman, Scott Thomas 34 Tamizh Chelvam, Thirugnanam 31 Fontana, Marco 27 Khashyarmanesh, Kazem 25 Badawi, Ayman 24 Kim, Hwankoo 23 Geroldinger, Alfred 22 Akbari, Saieed 22 Asir, Thangaraj 22 Mahdou, Najib 22 Mimouni, Abdeslam 22 Wu, Tongsuo 21 Afkhami, Mojgan 20 Kabbaj, Salah-Eddine 20 LaGrange, John David 20 Selvakumar, Krishnan 20 Visweswaran, Subramanian 19 Houston, Evan G. jun. 18 Dumitrescu, Tiberiu 18 Lim, Jung Wook 18 Lucas, Thomas George 18 Nikandish, Reza 18 Nikmehr, Mohammad Javad 17 Gotti, Felix 17 Pirzada, Shariefuddin 16 Hashemi, Ebrahim 16 Jarboui, Noômen 15 Coykendall, James 15 Juett, Jason Robert 15 Wong, Dein 14 Ayache, Ahmed 14 Smith, William W. 13 Roitman, Moshe 12 Alhevaz, Abdollah 12 Baeth, Nicholas R. 12 Jespers, Eric 12 Park, Mi Hee 12 Tekir, Unsal 11 Barati, Zahra 11 El Baghdadi, Said 11 Darani, Ahmad Yousefian 10 Gabelli, Stefania 10 Joshi, Vinayak V. 10 Redmond, Shane P. 10 Sahandi, Parviz 10 Tian, Fenglei 9 Akgunes, Nihat 9 Benhissi, Ali 9 Finocchiaro, Carmelo Antonio 9 Gaur, Atul 9 Koç, Suat 9 Kuzmina, Anna S. 9 Lu, Dancheng 9 Maimani, Hamid Reza 9 Mooney, Christopher Park 9 O’Neill, Christopher 9 Picavet, Gabriel 9 Reinhart, Andreas 9 Spirito, Dario 9 Tehranian, Abolfazl 8 Ansari-Toroghy, Habibollah 8 Celikel, Ece Yetkin 8 Das, Angsuman 8 Halter-Koch, Franz 8 Hassler, Wolfgang 8 Hizem, Sana 8 Mostafanasab, Hojjat 8 Payrovi, Shiroyeh 8 Picavet-L’Hermitte, Martine 8 Picozza, Giampaolo 8 Rahimi, Amir Massoud 8 Shapiro, Jay Allen 8 Wang, Fanggui 8 Wauters, Paul 8 Zhong, Qinghai 7 Abbasi, Ahmad 7 Axtell, Michael C. 7 Barucci, Valentina 7 Cahen, Paul-Jean 7 Ebrahimi Atani, Shahabaddin 7 El Khalfi, Abdelhaq 7 Hamed, Ahmed 7 Issoual, Mohammed 7 Kang, Byung Gyun 7 Khoramdel, Mehdi 7 Oh, Dong Yeol 7 Patil, Avinash A. 7 Nadeem-Ur-Rehman 7 Stickles, Joe 7 Tamoussit, Ali 7 Ulucak, Gulsen 7 Waphare, B. N. 6 Anderson, David Frederick 6 Behboodi, Mahmood 6 Bhat, Vijay Kumar ...and 1,106 more Authors all top 5 Cited in 240 Serials 289 Communications in Algebra 145 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 23 AKCE International Journal of Graphs and Combinatorics 23 Journal of Commutative Algebra 22 Asian-European Journal of Mathematics 20 Beiträge zur Algebra und Geometrie 20 Proceedings of the American Mathematical Society 19 Semigroup Forum 18 Ricerche di Matematica 16 Turkish Journal of Mathematics 15 Linear and Multilinear Algebra 14 Discrete Mathematics 14 Linear Algebra and its Applications 14 Palestine Journal of Mathematics 13 Hacettepe Journal of Mathematics and Statistics 13 Afrika Matematika 13 Journal of Algebraic Systems 12 Journal of the Korean Mathematical Society 12 Journal of Mathematical Sciences (New York) 11 Rendiconti del Circolo Matemàtico di Palermo. 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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 Journal of Applied Mathematics and Computing 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 3 Iranian Journal of Mathematical Sciences and Informatics 3 ISRN Algebra 3 ISRN Discrete Mathematics 3 Open Mathematics 3 Categories and General Algebraic Structures with Applications 3 Bollettino dell’Unione Matematica Italiana 2 Houston Journal of Mathematics 2 Mathematical Biosciences ...and 140 more Serials all top 5 Cited in 39 Fields 1,183 Commutative algebra (13-XX) 647 Combinatorics (05-XX) 256 Associative rings and algebras (16-XX) 230 Group theory and generalizations (20-XX) 80 Number theory (11-XX) 69 Order, lattices, ordered algebraic structures (06-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 38 Algebraic geometry (14-XX) 34 Biology and other natural sciences (92-XX) 12 \(K\)-theory (19-XX) 10 Field theory and polynomials (12-XX) 10 Ordinary differential equations (34-XX) 10 Probability theory and stochastic processes (60-XX) 9 Nonassociative rings and algebras (17-XX) 8 Category theory; homological algebra (18-XX) 8 General topology (54-XX) 8 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Systems theory; control (93-XX) 4 Partial differential equations (35-XX) 4 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 Measure and integration (28-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 Functional analysis (46-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