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Pierce, Richard Scott

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Author ID: pierce.richard-s Recent zbMATH articles by "Pierce, Richard Scott"
Published as: Pierce, R. S.; Pierce, Richard S.; Pierce, R.
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
109 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,043 times in 947 Documents Cited by Year
Associative algebras. Zbl 0497.16001
Pierce, Richard S.
337
1982
Modules over commutative regular rings. Zbl 0152.02601
Pierce, R. S.
147
1967
Lattice-ordered rings. Zbl 0070.26602
Birkhoff, Garrett; Pierce, R. S.
113
1956
Torsion-free rings. Zbl 0108.03802
Beaumont, R. A.; Pierce, R. S.
58
1961
Torsion free groups of rank two. Zbl 0122.27802
Beaumont, R. A.; Pierce, R. S.
31
1961
Centers of purity in Abelian groups. Zbl 0114.25703
Pierce, R. S.
30
1963
The global dimension of Boolean rings. Zbl 0149.28103
Pierce, R. S.
26
1967
Rings of integer-valued continuous functions. Zbl 0196.15401
Pierce, R. S.
23
1961
Compact zero-dimensional metric spaces of finite type. Zbl 0253.54028
Pierce, R. S.
22
1972
Isomorphic direct summands of Abelian groups. Zbl 0122.27801
Beaumont, R. A.; Pierce, R. S.
16
1963
Handbook of Boolean algebras. Volumes 1-3. Ed. with the cooperation of Robert Bonnet. Zbl 0671.06001
15
1989
Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings. Zbl 0464.20039
Arnold, D.; Pierce, R. S.; Reid, J. D.; Vinsonhaler, C.; Wickless, W.
14
1981
Subrings of simple algebras. Zbl 0103.26803
Pierce, R. S.
14
1960
Boolean algebras with ordered bases. Zbl 0097.02003
Mayer, R. D.; Pierce, R. S.
13
1960
Topological Boolean algebras. Zbl 0224.06008
Pierce, R. S.
12
1970
Distributivity in Boolean algebras. Zbl 0086.02803
Pierce, R. S.
11
1957
Some invariants of p-groups. Zbl 0126.26903
Beaumont, R.; Pierce, R.
11
1964
Existence and uniqueness theorems for extensions of zero-dimensional compact metric spaces. Zbl 0194.54801
Pierce, R. S.
10
1970
E-modules. Zbl 0674.20033
Pierce, R. S.
9
1989
Partly transitive modules and modules with proper isomorphic submodules. Zbl 0090.02502
Beaumont, R. A.; Pierce, R. S.
9
1959
A note on complete Boolean algebras. Zbl 0096.25601
Pierce, R. S.
9
1959
Some questions about complete Boolean algebras. Zbl 0101.27104
Pierce, R. S.
9
1961
Subrings of algebraic number fields. Zbl 0117.02807
Beaumont, R. A.; Pierce, R. S.
9
1961
Homomorphisms of semi-groups. Zbl 0055.01502
Pierce, R. S.
8
1954
The algebraic foundations of mathematics. Zbl 0121.25902
Beaumont, R. A.; Pierce, R. S.
7
1963
Classifying E-rings. Zbl 0728.20047
Pierce, R. S.; Vinsonhaler, C. I.
6
1991
Radicals in function rings. Zbl 0071.26002
Pierce, R. S.
6
1956
Realizing algebraic number fields. Zbl 0515.12006
Pierce, R. S.; Vinsonhaler, C. I.
5
1983
The submodule lattice of a cyclic module. Zbl 0227.06003
Pierce, R. S.
5
1971
Closure spaces with applications to ring theory. Zbl 0229.16019
Pierce, R. S.
5
1972
Bases of countable Boolean algebras. Zbl 0278.06007
Pierce, R. S.
5
1973
Symmetric groupoids. Zbl 0395.20033
Pierce, R. S.
5
1978
The cohomology of Boolean rings. Zbl 0354.18019
Pierce, R. S.
4
1974
Distributivity and the normal completion of Boolean algebras. Zbl 0092.03402
Pierce, R. S.
4
1958
Endomorphism rings of primary abelian groups. Zbl 0131.02503
Pierce, R. S.
4
1964
Permutation representations with trivial set-stabilizers. Zbl 0595.20007
Pierce, R. S.
3
1985
Realizing central division algebras. Zbl 0533.16009
Pierce, R. S.; Vinsonhaler, C.
3
1983
Symmetric groupoids. II. Zbl 0416.20059
Pierce, R. S.
3
1979
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 0671.16001
Pierce, Richard S.
2
1986
The global dimension of commutative regular rings. Zbl 0318.13015
Pierce, R. S.
2
1976
Arithmetic properties of certain partially ordered semigroups. Zbl 0334.06006
Pierce, R. S.
2
1975
Minimal regular rings. Zbl 0792.16015
Pierce, R. S.
2
1992
A generalization of atomic boolean algebras. Zbl 0086.02802
Pierce, R. S.
2
1959
Quasi-isomorphism of p-groups. Zbl 0142.26104
Beaumont, R. A.; Pierce, R. S.
2
1964
Quasi-realizing modules. Zbl 0805.20047
Pierce, R. S.; Vinsonhaler, C.
2
1993
Realizing tiled orders. Zbl 0814.16013
Pierce, R. S.; Vinsonhaler, C.
2
1994
Classification problems. Zbl 0191.01202
Pierce, R. S.
1
1970
The Boolean algebra of regular open sets. Zbl 0050.16901
Pierce, R. S.
1
1953
Coverings of a topological space. Zbl 0058.16601
Pierce, R. S.
1
1954
Translation lattices. Zbl 0084.33301
Pierce, R. S.
1
1959
Free products of \(\alpha\)-distributive Boolean algebras. Zbl 0096.25503
Christensen, D. J.; Pierce, R. S.
1
1959
Burnside algebras of profinite groups. Zbl 0817.20033
Pierce, R. S.
1
1994
Realizing tiled orders. Zbl 0814.16013
Pierce, R. S.; Vinsonhaler, C.
2
1994
Burnside algebras of profinite groups. Zbl 0817.20033
Pierce, R. S.
1
1994
Quasi-realizing modules. Zbl 0805.20047
Pierce, R. S.; Vinsonhaler, C.
2
1993
Minimal regular rings. Zbl 0792.16015
Pierce, R. S.
2
1992
Classifying E-rings. Zbl 0728.20047
Pierce, 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 0674.20033
Pierce, 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 0671.16001
Pierce, Richard S.
2
1986
Permutation representations with trivial set-stabilizers. Zbl 0595.20007
Pierce, R. S.
3
1985
Realizing algebraic number fields. Zbl 0515.12006
Pierce, R. S.; Vinsonhaler, C. I.
5
1983
Realizing central division algebras. Zbl 0533.16009
Pierce, R. S.; Vinsonhaler, C.
3
1983
Associative algebras. Zbl 0497.16001
Pierce, Richard S.
337
1982
Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings. Zbl 0464.20039
Arnold, D.; Pierce, R. S.; Reid, J. D.; Vinsonhaler, C.; Wickless, W.
14
1981
Symmetric groupoids. II. Zbl 0416.20059
Pierce, R. S.
3
1979
Symmetric groupoids. Zbl 0395.20033
Pierce, R. S.
5
1978
The global dimension of commutative regular rings. Zbl 0318.13015
Pierce, R. S.
2
1976
Arithmetic properties of certain partially ordered semigroups. Zbl 0334.06006
Pierce, R. S.
2
1975
The cohomology of Boolean rings. Zbl 0354.18019
Pierce, R. S.
4
1974
Bases of countable Boolean algebras. Zbl 0278.06007
Pierce, R. S.
5
1973
Compact zero-dimensional metric spaces of finite type. Zbl 0253.54028
Pierce, R. S.
22
1972
Closure spaces with applications to ring theory. Zbl 0229.16019
Pierce, R. S.
5
1972
The submodule lattice of a cyclic module. Zbl 0227.06003
Pierce, R. S.
5
1971
Topological Boolean algebras. Zbl 0224.06008
Pierce, R. S.
12
1970
Existence and uniqueness theorems for extensions of zero-dimensional compact metric spaces. Zbl 0194.54801
Pierce, R. S.
10
1970
Classification problems. Zbl 0191.01202
Pierce, R. S.
1
1970
Modules over commutative regular rings. Zbl 0152.02601
Pierce, R. S.
147
1967
The global dimension of Boolean rings. Zbl 0149.28103
Pierce, R. S.
26
1967
Some invariants of p-groups. Zbl 0126.26903
Beaumont, R.; Pierce, R.
11
1964
Endomorphism rings of primary abelian groups. Zbl 0131.02503
Pierce, R. S.
4
1964
Quasi-isomorphism of p-groups. Zbl 0142.26104
Beaumont, R. A.; Pierce, R. S.
2
1964
Centers of purity in Abelian groups. Zbl 0114.25703
Pierce, R. S.
30
1963
Isomorphic direct summands of Abelian groups. Zbl 0122.27801
Beaumont, R. A.; Pierce, R. S.
16
1963
The algebraic foundations of mathematics. Zbl 0121.25902
Beaumont, R. A.; Pierce, R. S.
7
1963
Torsion-free rings. Zbl 0108.03802
Beaumont, R. A.; Pierce, R. S.
58
1961
Torsion free groups of rank two. Zbl 0122.27802
Beaumont, R. A.; Pierce, R. S.
31
1961
Rings of integer-valued continuous functions. Zbl 0196.15401
Pierce, R. S.
23
1961
Some questions about complete Boolean algebras. Zbl 0101.27104
Pierce, R. S.
9
1961
Subrings of algebraic number fields. Zbl 0117.02807
Beaumont, R. A.; Pierce, R. S.
9
1961
Subrings of simple algebras. Zbl 0103.26803
Pierce, R. S.
14
1960
Boolean algebras with ordered bases. Zbl 0097.02003
Mayer, R. D.; Pierce, R. S.
13
1960
Partly transitive modules and modules with proper isomorphic submodules. Zbl 0090.02502
Beaumont, R. A.; Pierce, R. S.
9
1959
A note on complete Boolean algebras. Zbl 0096.25601
Pierce, R. S.
9
1959
A generalization of atomic boolean algebras. Zbl 0086.02802
Pierce, R. S.
2
1959
Translation lattices. Zbl 0084.33301
Pierce, R. S.
1
1959
Free products of \(\alpha\)-distributive Boolean algebras. Zbl 0096.25503
Christensen, D. J.; Pierce, R. S.
1
1959
Distributivity and the normal completion of Boolean algebras. Zbl 0092.03402
Pierce, R. S.
4
1958
Distributivity in Boolean algebras. Zbl 0086.02803
Pierce, R. S.
11
1957
Lattice-ordered rings. Zbl 0070.26602
Birkhoff, Garrett; Pierce, R. S.
113
1956
Radicals in function rings. Zbl 0071.26002
Pierce, R. S.
6
1956
Homomorphisms of semi-groups. Zbl 0055.01502
Pierce, R. S.
8
1954
Coverings of a topological space. Zbl 0058.16601
Pierce, R. S.
1
1954
The Boolean algebra of regular open sets. Zbl 0050.16901
Pierce, R. S.
1
1953
all top 5

Cited by 917 Authors

29 Ma, Jingjing
16 Tuganbaev, Askar Akanovich
14 Vinsonhaler, Charles I.
12 Pierce, Richard Scott
11 Jakubík, Ján
10 Cherednikova, Alla Viktorovna
10 Fomin, Aleksandr Aleksandrovich
10 Goldsmith, Brendan
10 Hansoul, Georges E.
9 Wickless, William J.
8 Chipchakov, Ivan D.
8 Göbel, Rüdiger
8 Krylov, Piotr A.
8 Markova, Olga V.
7 Dugas, Manfred H.
7 Rapinchuk, Andrei S.
7 Zhang, Yuehui
6 Boulabiar, Karim Mohamed
6 Burgess, Walter D.
6 Deitmar, Anton
6 Dolphin, Andrew
6 Lyubimtsev, Oleg Vladimirovich
6 Madden, James J.
6 Mikhalëv, Aleksandr Vasil’evich
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 Goodearl, Kenneth R.
5 Grinshpon, S. Ya.
5 Hill, Paul D.
5 Ivanyos, Gábor
5 Osofsky, Barbara L.
5 Raphael, Robert M.
5 Shelah, Saharon
5 Tignol, Jean-Pierre
5 Vechtomov, Evgeniĭ Mikhaĭlovich
4 Becher, Karim Johannes
4 Bonnet, Robert
4 Chekhlov, Andreĭ Rostislavovich
4 Dauns, John
4 Goeters, H. Pat
4 Guterman, Alexander Èmilevich
4 Harbater, David
4 Hartmann, Julia
4 Kirkman, Ellen E.
4 Kompantseva, Ekaterina Igorevna
4 Krashen, Daniel
4 Lady, E. L.
4 Lucas, François
4 Megibben, Charles K.
4 Mutzbauer, Otto
4 Nikolskaya, M. M.
4 Okniński, Jan
4 Oshiro, Kiyoichi
4 Schaub, Daniel
4 Schultz, Phillip
4 Spivakovsky, Mark
4 Szeto, George
4 Touraille, Alain
4 Tsarev, A. V.
4 Vámos, Peter
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 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 Kuzmanovich, James J.
3 Lapenta, Serafina
3 Leuştean, Ioana
3 Liebert, Wolfgang
3 Linowitz, Benjamin
3 Liu, Zhong-kui
3 Lobillo, Francisco Javier
3 López-González, Elifalet
3 Magid, Andy Roy
3 Mao, Lixin
3 Markov, Victor Timofeevich
3 McGovern, Warren Wm.
3 Miguel, Celino
3 Mishina, A. P.
...and 817 more Authors
all top 5

Cited in 165 Serials

139 Journal of Algebra
51 Journal of Pure and Applied Algebra
46 Proceedings of the American Mathematical Society
44 Journal of Mathematical Sciences (New York)
42 Transactions of the American Mathematical Society
40 Communications in Algebra
33 Algebra Universalis
23 Mathematische Zeitschrift
20 Czechoslovak Mathematical Journal
20 Linear Algebra and its Applications
19 Mathematical Notes
16 Israel Journal of Mathematics
16 Rendiconti del Seminario Matematico della Università di Padova
15 Mathematische Annalen
14 Journal of Algebra and its Applications
13 Archiv der Mathematik
13 Journal of Number Theory
13 Order
12 Siberian Mathematical Journal
11 Rocky Mountain Journal of Mathematics
11 Advances in Mathematics
11 Quaestiones Mathematicae
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 Annals of Pure and Applied Logic
6 Journal of Symbolic Computation
5 Bulletin de la Société Mathématique de France
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Proceedings of the Japan Academy
4 Periodica Mathematica Hungarica
4 Inventiones Mathematicae
4 Results in Mathematics
4 International Journal of Algebra and Computation
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 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 Semigroup Forum
3 Journal of the American Mathematical Society
3 Applied Categorical Structures
3 St. Petersburg Mathematical Journal
3 Soft Computing
3 Algebras and Representation Theory
2 Nuclear Physics. B
2 Mathematics of Computation
2 Beiträge zur Algebra und Geometrie
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 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 Acta Mathematica Hungarica
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 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Advances in Mathematics of Communications
2 Asian-European Journal of Mathematics
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 Linear and Multilinear Algebra
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Bulletin of Mathematical Biology
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
...and 65 more Serials
all top 5

Cited in 44 Fields

396 Associative rings and algebras (16-XX)
243 Group theory and generalizations (20-XX)
165 Order, lattices, ordered algebraic structures (06-XX)
119 Commutative algebra (13-XX)
94 Number theory (11-XX)
74 Mathematical logic and foundations (03-XX)
71 Field theory and polynomials (12-XX)
64 Category theory; homological algebra (18-XX)
61 Algebraic geometry (14-XX)
49 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)
29 General algebraic systems (08-XX)
17 Combinatorics (05-XX)
17 Operator theory (47-XX)
15 Computer science (68-XX)
14 Topological groups, Lie groups (22-XX)
13 Quantum theory (81-XX)
9 \(K\)-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 General and overarching topics; collections (00-XX)
3 Probability theory and stochastic processes (60-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

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