Edit Profile (opens in new tab) Pierce, Richard Scott Compute Distance To: Compute Author ID: pierce.richard-s Published as: Pierce, R. S.; Pierce, Richard S.; Pierce, R. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 60 Publications since 1953, including 7 Books 1 Further Contribution Biographic References: 2 Publications Co-Authors: 8 Co-Authors with 22 Joint Publications 108 Co-Co-Authors all top 5 Co-Authors 37 single-authored 10 Beaumont, Ross A. 9 Vinsonhaler, Charles I. 1 Arnold, David M. 1 Balcar, Bohuslav 1 Bekkali, Mohamed 1 Birkhoff, Garrett 1 Bonnet, Robert 1 Christensen, D. J. 1 Fremlin, David H. 1 Jech, Thomas J. 1 Koppelberg, Sabine 1 Mayer, R. D. 1 Monk, James Donald 1 Rapinchuk, Andrei S. 1 Reid, James D. 1 Remmel, Jeffrey Brian 1 Roitman, Judith 1 Rubin, Matatyahu 1 Simon, Petr 1 Štěpánek, Petr 1 van Douwen, Eric K. 1 Weese, Martin 1 Wickless, William J. 1 Yanchevskii, Vyacheslav Ivanovich 1 Zalesski, Alexandre Efimovich all top 5 Serials 6 Pacific Journal of Mathematics 5 Transactions of the American Mathematical Society 4 Journal of Algebra 4 Memoirs of the American Mathematical Society 2 Communications in Algebra 2 Houston Journal of Mathematics 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Algebra Universalis 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematical Systems Theory 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Order 1 Annals of Mathematics. Second Series 1 Graduate Texts in Mathematics 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Anais da Academia Brasileira de Ciências all top 5 Fields 16 Group theory and generalizations (20-XX) 14 Associative rings and algebras (16-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 6 Number theory (11-XX) 4 General topology (54-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 52 Publications have been cited 1,079 times in 990 Documents Cited by ▼ Year ▼ Associative algebras. Zbl 0497.16001Pierce, Richard S. 359 1982 Modules over commutative regular rings. Zbl 0152.02601Pierce, R. S. 151 1967 Lattice-ordered rings. Zbl 0070.26602Birkhoff, Garrett; Pierce, R. S. 120 1956 Torsion-free rings. Zbl 0108.03802Beaumont, R. A.; Pierce, R. S. 64 1961 Torsion free groups of rank two. Zbl 0122.27802Beaumont, R. A.; Pierce, R. S. 32 1961 Centers of purity in Abelian groups. Zbl 0114.25703Pierce, R. S. 31 1963 The global dimension of Boolean rings. Zbl 0149.28103Pierce, R. S. 27 1967 Rings of integer-valued continuous functions. Zbl 0196.15401Pierce, R. S. 23 1961 Compact zero-dimensional metric spaces of finite type. Zbl 0253.54028Pierce, R. S. 23 1972 Isomorphic direct summands of Abelian groups. Zbl 0122.27801Beaumont, R. A.; Pierce, R. S. 20 1963 Handbook of Boolean algebras. Volumes 1-3. Ed. with the cooperation of Robert Bonnet. Zbl 0671.06001 15 1989 Subrings of simple algebras. Zbl 0103.26803Pierce, R. S. 14 1960 Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings. Zbl 0464.20039Arnold, D.; Pierce, R. S.; Reid, J. D.; Vinsonhaler, C.; Wickless, W. 14 1981 Boolean algebras with ordered bases. Zbl 0097.02003Mayer, R. D.; Pierce, R. S. 13 1960 Topological Boolean algebras. Zbl 0224.06008Pierce, R. S. 12 1970 Distributivity in Boolean algebras. Zbl 0086.02803Pierce, R. S. 11 1957 Some invariants of p-groups. Zbl 0126.26903Beaumont, R.; Pierce, R. 11 1964 Partly transitive modules and modules with proper isomorphic submodules. Zbl 0090.02502Beaumont, R. A.; Pierce, R. S. 10 1959 A note on complete Boolean algebras. Zbl 0096.25601Pierce, R. S. 10 1959 Existence and uniqueness theorems for extensions of zero-dimensional compact metric spaces. Zbl 0194.54801Pierce, R. S. 10 1970 Some questions about complete Boolean algebras. Zbl 0101.27104Pierce, R. S. 9 1961 Subrings of algebraic number fields. Zbl 0117.02807Beaumont, R. A.; Pierce, R. S. 9 1961 E-modules. Zbl 0674.20033Pierce, R. S. 9 1989 Homomorphisms of semi-groups. Zbl 0055.01502Pierce, R. S. 8 1954 The algebraic foundations of mathematics. Zbl 0121.25902Beaumont, Ross A.; Pierce, Richard S. 7 1963 Classifying E-rings. Zbl 0728.20047Pierce, R. S.; Vinsonhaler, C. I. 6 1991 Radicals in function rings. Zbl 0071.26002Pierce, R. S. 6 1956 Closure spaces with applications to ring theory. Zbl 0229.16019Pierce, R. S. 6 1972 Symmetric groupoids. Zbl 0395.20033Pierce, R. S. 5 1978 Realizing algebraic number fields. Zbl 0515.12006Pierce, R. S.; Vinsonhaler, C. I. 5 1983 The submodule lattice of a cyclic module. Zbl 0227.06003Pierce, R. S. 5 1971 Bases of countable Boolean algebras. Zbl 0278.06007Pierce, R. S. 5 1973 Realizing central division algebras. Zbl 0533.16009Pierce, R. S.; Vinsonhaler, C. 4 1983 Distributivity and the normal completion of Boolean algebras. Zbl 0092.03402Pierce, R. S. 4 1958 Endomorphism rings of primary abelian groups. Zbl 0131.02503Pierce, R. S. 4 1964 The cohomology of Boolean rings. Zbl 0354.18019Pierce, R. S. 4 1974 Symmetric groupoids. II. Zbl 0416.20059Pierce, R. S. 3 1979 Permutation representations with trivial set-stabilizers. Zbl 0595.20007Pierce, R. S. 3 1985 A generalization of atomic boolean algebras. Zbl 0086.02802Pierce, R. S. 2 1959 Quasi-isomorphism of p-groups. Zbl 0142.26104Beaumont, R. A.; Pierce, R. S. 2 1964 Realizing tiled orders. Zbl 0814.16013Pierce, R. S.; Vinsonhaler, C. 2 1994 Minimal regular rings. Zbl 0792.16015Pierce, R. S. 2 1992 Quasi-realizing modules. Zbl 0805.20047Pierce, R. S.; Vinsonhaler, C. 2 1993 Associative algebras. (Assotsiativnye algebry). Transl. from the English by A. S. Rapinchuk and V. I. Yanchevskij. Transl. ed. and with a preface by A. E. Zalesskij. Zbl 0671.16001Pierce, Richard S. 2 1986 The global dimension of commutative regular rings. Zbl 0318.13015Pierce, R. S. 2 1976 Arithmetic properties of certain partially ordered semigroups. Zbl 0334.06006Pierce, R. S. 2 1975 The Boolean algebra of regular open sets. Zbl 0050.16901Pierce, R. S. 1 1953 Coverings of a topological space. Zbl 0058.16601Pierce, R. S. 1 1954 Translation lattices. Zbl 0084.33301Pierce, R. S. 1 1959 Free products of \(\alpha\)-distributive Boolean algebras. Zbl 0096.25503Christensen, D. J.; Pierce, R. S. 1 1959 Classification problems. Zbl 0191.01202Pierce, R. S. 1 1970 Burnside algebras of profinite groups. Zbl 0817.20033Pierce, R. S. 1 1994 Realizing tiled orders. Zbl 0814.16013Pierce, R. S.; Vinsonhaler, C. 2 1994 Burnside algebras of profinite groups. Zbl 0817.20033Pierce, R. S. 1 1994 Quasi-realizing modules. Zbl 0805.20047Pierce, R. S.; Vinsonhaler, C. 2 1993 Minimal regular rings. Zbl 0792.16015Pierce, R. S. 2 1992 Classifying E-rings. Zbl 0728.20047Pierce, R. S.; Vinsonhaler, C. I. 6 1991 Handbook of Boolean algebras. Volumes 1-3. Ed. with the cooperation of Robert Bonnet. Zbl 0671.06001 15 1989 E-modules. Zbl 0674.20033Pierce, R. S. 9 1989 Associative algebras. (Assotsiativnye algebry). Transl. from the English by A. S. Rapinchuk and V. I. Yanchevskij. Transl. ed. and with a preface by A. E. Zalesskij. Zbl 0671.16001Pierce, Richard S. 2 1986 Permutation representations with trivial set-stabilizers. Zbl 0595.20007Pierce, R. S. 3 1985 Realizing algebraic number fields. Zbl 0515.12006Pierce, R. S.; Vinsonhaler, C. I. 5 1983 Realizing central division algebras. Zbl 0533.16009Pierce, R. S.; Vinsonhaler, C. 4 1983 Associative algebras. Zbl 0497.16001Pierce, Richard S. 359 1982 Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings. Zbl 0464.20039Arnold, D.; Pierce, R. S.; Reid, J. D.; Vinsonhaler, C.; Wickless, W. 14 1981 Symmetric groupoids. II. Zbl 0416.20059Pierce, R. S. 3 1979 Symmetric groupoids. Zbl 0395.20033Pierce, R. S. 5 1978 The global dimension of commutative regular rings. Zbl 0318.13015Pierce, R. S. 2 1976 Arithmetic properties of certain partially ordered semigroups. Zbl 0334.06006Pierce, R. S. 2 1975 The cohomology of Boolean rings. Zbl 0354.18019Pierce, R. S. 4 1974 Bases of countable Boolean algebras. Zbl 0278.06007Pierce, R. S. 5 1973 Compact zero-dimensional metric spaces of finite type. Zbl 0253.54028Pierce, R. S. 23 1972 Closure spaces with applications to ring theory. Zbl 0229.16019Pierce, R. S. 6 1972 The submodule lattice of a cyclic module. Zbl 0227.06003Pierce, R. S. 5 1971 Topological Boolean algebras. Zbl 0224.06008Pierce, R. S. 12 1970 Existence and uniqueness theorems for extensions of zero-dimensional compact metric spaces. Zbl 0194.54801Pierce, R. S. 10 1970 Classification problems. Zbl 0191.01202Pierce, R. S. 1 1970 Modules over commutative regular rings. Zbl 0152.02601Pierce, R. S. 151 1967 The global dimension of Boolean rings. Zbl 0149.28103Pierce, R. S. 27 1967 Some invariants of p-groups. Zbl 0126.26903Beaumont, R.; Pierce, R. 11 1964 Endomorphism rings of primary abelian groups. Zbl 0131.02503Pierce, R. S. 4 1964 Quasi-isomorphism of p-groups. Zbl 0142.26104Beaumont, R. A.; Pierce, R. S. 2 1964 Centers of purity in Abelian groups. Zbl 0114.25703Pierce, R. S. 31 1963 Isomorphic direct summands of Abelian groups. Zbl 0122.27801Beaumont, R. A.; Pierce, R. S. 20 1963 The algebraic foundations of mathematics. Zbl 0121.25902Beaumont, Ross A.; Pierce, Richard S. 7 1963 Torsion-free rings. Zbl 0108.03802Beaumont, R. A.; Pierce, R. S. 64 1961 Torsion free groups of rank two. Zbl 0122.27802Beaumont, R. A.; Pierce, R. S. 32 1961 Rings of integer-valued continuous functions. Zbl 0196.15401Pierce, R. S. 23 1961 Some questions about complete Boolean algebras. Zbl 0101.27104Pierce, R. S. 9 1961 Subrings of algebraic number fields. Zbl 0117.02807Beaumont, R. A.; Pierce, R. S. 9 1961 Subrings of simple algebras. Zbl 0103.26803Pierce, R. S. 14 1960 Boolean algebras with ordered bases. Zbl 0097.02003Mayer, R. D.; Pierce, R. S. 13 1960 Partly transitive modules and modules with proper isomorphic submodules. Zbl 0090.02502Beaumont, R. A.; Pierce, R. S. 10 1959 A note on complete Boolean algebras. Zbl 0096.25601Pierce, R. S. 10 1959 A generalization of atomic boolean algebras. Zbl 0086.02802Pierce, R. S. 2 1959 Translation lattices. Zbl 0084.33301Pierce, R. S. 1 1959 Free products of \(\alpha\)-distributive Boolean algebras. Zbl 0096.25503Christensen, D. J.; Pierce, R. S. 1 1959 Distributivity and the normal completion of Boolean algebras. Zbl 0092.03402Pierce, R. S. 4 1958 Distributivity in Boolean algebras. Zbl 0086.02803Pierce, R. S. 11 1957 Lattice-ordered rings. Zbl 0070.26602Birkhoff, Garrett; Pierce, R. S. 120 1956 Radicals in function rings. Zbl 0071.26002Pierce, R. S. 6 1956 Homomorphisms of semi-groups. Zbl 0055.01502Pierce, R. S. 8 1954 Coverings of a topological space. Zbl 0058.16601Pierce, R. S. 1 1954 The Boolean algebra of regular open sets. Zbl 0050.16901Pierce, R. S. 1 1953 all cited Publications top 5 cited Publications all top 5 Cited by 956 Authors 29 Ma, Jingjing 20 Tuganbaev, Askar Akanovich 14 Goldsmith, Brendan 14 Vinsonhaler, Charles I. 12 Pierce, Richard Scott 11 Jakubík, Ján 10 Cherednikova, Alla Viktorovna 10 Fomin, Aleksandr Aleksandrovich 10 Hansoul, Georges E. 9 Chipchakov, Ivan D. 9 Wickless, William J. 8 Göbel, Rüdiger 8 Grinshpon, Samuil Yakovlevich 8 Krylov, Pëtr Andreevich 8 Lyubimtsev, Oleg Vladimirovich 8 Markova, Olga V. 7 Dugas, Manfred H. 7 Kompantseva, Ekaterina Igorevna 7 Mikhalëv, Aleksandr Vasil’evich 7 Nikolskaya, Maria Mikhailovna 7 Rapinchuk, Andrei S. 7 Zhang, Yuehui 6 Boulabiar, Karim Mohamed 6 Burgess, Walter D. 6 Deitmar, Anton 6 Dolphin, Andrew 6 Madden, James J. 6 Steinberg, Stuart A. 6 Turull, Alexandre 6 Wadsworth, Adrian R. 6 Wiegand, Roger Allen 5 Albrecht, Ulrich F. 5 Carson, Andrew B. 5 Faticoni, Theodore G. 5 Goeters, Pat 5 Goodearl, Kenneth R. 5 Hill, Paul D. 5 Ivanyos, Gábor 5 Oshiro, Kiyoichi 5 Osofsky, Barbara L. 5 Raphael, Robert M. 5 Shelah, Saharon 5 Tignol, Jean-Pierre 5 Tsarev, Andrey Valer’evich 5 Vechtomov, Evgeniĭ Mikhaĭlovich 4 Becher, Karim Johannes 4 Bonnet, Robert 4 Chekhlov, Andreĭ Rostislavovich 4 Dauns, John 4 Guo, Xiaojiang 4 Guterman, Alexander Èmilevich 4 Harbater, David 4 Hartmann, Julia 4 Kirkman, Ellen E. 4 Krashen, Daniel 4 Lady, E. L. 4 Lucas, François 4 Megibben, Charles K. 4 Mutzbauer, Otto 4 Okniński, Jan 4 Rapinchuk, Igor A. 4 Schacher, Murray M. 4 Schaub, Daniel 4 Schultz, Phillip 4 Spivakovsky, Mark 4 Szeto, George 4 Touraille, Alain 4 Vaggione, Diego Jose 4 Vámos, Peter 4 Yang, Yichuan 3 Beaumont, Ross A. 3 Breaz, Simion 3 Chermnykh, Vasiliĭ Vladimirovich 3 Chernousov, Vladimir I. 3 Comer, Stephen Daniel 3 Danchev, Peter Vassilev 3 de Graaf, Willem Adriaan 3 Di, Zhenxing 3 Ding, Nanqing 3 Fein, Burton 3 Fong, Yuen 3 Frías-Armenta, Martín Eduardo 3 Gómez Torrecillas, José 3 Gong, Ketao 3 Grau, José María 3 Hager, Anthony W. 3 Handelman, David E. 3 Hanke, Timo 3 Herden, Daniel 3 Jacob, Bill 3 Johnson, Donald Glen 3 Kochubeĭ, Anatoliĭ Naumovych 3 Kolegov, N. A. 3 Kuzmanovich, James J. 3 Lapenta, Serafina 3 Leuştean, Ioana 3 Liebert, Wolfgang 3 Linowitz, Benjamin 3 Liu, Zhong-kui 3 Lobillo, Francisco Javier ...and 856 more Authors all top 5 Cited in 170 Serials 143 Journal of Algebra 54 Journal of Pure and Applied Algebra 47 Proceedings of the American Mathematical Society 46 Journal of Mathematical Sciences (New York) 42 Transactions of the American Mathematical Society 41 Communications in Algebra 34 Algebra Universalis 23 Mathematische Zeitschrift 20 Czechoslovak Mathematical Journal 20 Linear Algebra and its Applications 19 Mathematical Notes 17 Journal of Algebra and its Applications 16 Israel Journal of Mathematics 16 Rendiconti del Seminario Matematico della Università di Padova 15 Mathematische Annalen 13 Archiv der Mathematik 13 Journal of Number Theory 13 Order 12 Quaestiones Mathematicae 12 Siberian Mathematical Journal 11 Rocky Mountain Journal of Mathematics 11 Advances in Mathematics 11 Topology and its Applications 10 Algebra and Logic 9 Journal of Soviet Mathematics 8 Positivity 7 Manuscripta Mathematica 7 Russian Mathematics 7 Bulletin of the American Mathematical Society 7 Chebyshevskiĭ Sbornik 6 Acta Mathematica Academiae Scientiarum Hungaricae 6 Bulletin de la Société Mathématique de France 6 Annals of Pure and Applied Logic 6 Journal of Symbolic Computation 6 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 5 Periodica Mathematica Hungarica 5 Semigroup Forum 5 International Journal of Algebra and Computation 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Proceedings of the Japan Academy 4 Beiträge zur Algebra und Geometrie 4 Inventiones Mathematicae 4 Results in Mathematics 4 Indagationes Mathematicae. New Series 4 Journal of the Australian Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Discrete Mathematics 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Annales de l’Institut Fourier 3 Fuzzy Sets and Systems 3 Publications Mathématiques 3 The Journal of Symbolic Logic 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal of the American Mathematical Society 3 Applied Categorical Structures 3 St. Petersburg Mathematical Journal 3 Soft Computing 3 Algebras and Representation Theory 3 Asian-European Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nuclear Physics. B 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Geometriae Dedicata 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Pacific Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Studia Logica 2 Theoretical Computer Science 2 Tôhoku Mathematical Journal. Second Series 2 European Journal of Combinatorics 2 Bulletin of the Korean Mathematical Society 2 Acta Mathematica Hungarica 2 Forum Mathematicum 2 Annals of Physics 2 RAIRO. Informatique Théorique et Applications 2 Archive for Mathematical Logic 2 Advances in Applied Clifford Algebras 2 Transformation Groups 2 Representation Theory 2 Journal of Group Theory 2 Algebraic & Geometric Topology 2 Journal of Applied Mathematics 2 Mediterranean Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Advances in Mathematics of Communications 2 International Electronic Journal of Algebra (IEJA) 2 Journal of Commutative Algebra 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Mathematical Biosciences ...and 70 more Serials all top 5 Cited in 44 Fields 424 Associative rings and algebras (16-XX) 267 Group theory and generalizations (20-XX) 171 Order, lattices, ordered algebraic structures (06-XX) 124 Commutative algebra (13-XX) 97 Number theory (11-XX) 74 Mathematical logic and foundations (03-XX) 73 Field theory and polynomials (12-XX) 67 Category theory; homological algebra (18-XX) 64 Algebraic geometry (14-XX) 50 General topology (54-XX) 43 Nonassociative rings and algebras (17-XX) 38 Functional analysis (46-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 30 General algebraic systems (08-XX) 18 Combinatorics (05-XX) 18 Topological groups, Lie groups (22-XX) 17 Operator theory (47-XX) 15 Computer science (68-XX) 13 Quantum theory (81-XX) 10 \(K\)-theory (19-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Geometry (51-XX) 9 Manifolds and cell complexes (57-XX) 8 Differential geometry (53-XX) 8 Algebraic topology (55-XX) 8 Information and communication theory, circuits (94-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 5 History and biography (01-XX) 5 Biology and other natural sciences (92-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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