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## Schelter, William F.

Compute Distance To:
 Author ID: schelter.william-f Published as: Schelter, William; Schelter, William F.; Schelter, W.; Schelter, W. F. External Links: MGP · Wikidata
 Documents Indexed: 26 Publications since 1971
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#### Co-Authors

 14 single-authored 6 Artin, Michael 2 Chou, Shangching 2 Tate, John Torrence jun. 1 Handelman, David E. 1 Lawrence, John W. 1 Paré, Robert 1 Roberts, Paul C. 1 Small, Lance W. 1 Yang, Jingen
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#### Serials

 8 Journal of Algebra 2 Advances in Mathematics 2 Archiv der Mathematik 2 Journal of the London Mathematical Society. Second Series 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Algorithmica 1 Journal of Automated Reasoning 1 Bulletin of the American Mathematical Society
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#### Fields

 24 Associative rings and algebras (16-XX) 4 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 513 times in 453 Documents Cited by Year
Graded algebras of global dimension 3. Zbl 0633.16001
Artin, Michael; Schelter, William F.
1987
Quantum deformations of $$\text{GL}_ n$$. Zbl 0753.17015
Artin, Michael; Schelter, William; Tate, John
1991
Integral extensions of rings satisfying a polynomial identity. Zbl 0341.16009
Schelter, William
1976
Non-commutative affine P. I. rings are catenary. Zbl 0375.16015
Schelter, William
1978
Finite extensions are integral. Zbl 0404.16011
Pare, Robert; Schelter, William
1978
Integral ring homomorphisms. Zbl 0461.16014
Artin, M.; Schelter, W.
1981
Proving geometry theorems with rewrite rules. Zbl 0642.68162
Chou, Shang-Ching; Schelter, William F.
1986
Smooth algebras. Zbl 0604.16015
Schelter, William F.
1986
On a question concerning generic matrices over the integers. Zbl 0577.16009
Schelter, William F.
1985
Two-sided rings of quotients. Zbl 0269.16001
Schelter, William
1973
On the Krull-Akizuki theorem. Zbl 0331.16017
Schelter, William
1976
Some pathological rings of quotients. Zbl 0344.16002
Schelter, William; Small, Lance W.
1976
Skew group rings. Zbl 0389.16004
Handelman, David; Lawrence, John; Schelter, William
1978
A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011
Artin, M.; Schelter, W.
1979
The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019
Artin, Michael; Schelter, William; Tate, John
1994
Essential extensions and intersection theorems. Zbl 0331.16016
Schelter, W.
1975
Azumaya algebras and Artin’s theorem. Zbl 0353.16008
Schelter, W.
1977
Flat modules and torsion theories. Zbl 0262.16023
Schelter, William; Roberts, Paul
1972
Affine PI rings are catenary. Zbl 0372.16011
Schelter, W.
1977
An algorithm for constructing Gröbner bases from characteristic sets and its application to geometry. Zbl 0703.13023
Chou, Shang-Ching; Schelter, William F.; Yang, Jin-Gen
1990
Products of torsion theories. Zbl 0244.16001
Schelter, William
1971
Intersection theorems for some noncommutative noetherian rings. Zbl 0328.16028
Schelter, William
1976
Topological rings of quotients. Zbl 0259.16019
Schelter, William
1974
On two-sided modules which are left projective. Zbl 0468.16019
Artin, M.; Schelter, W.
1981
Affine rings satisfying a polynomial identity. Zbl 0504.16010
Schelter, William F.
1982
The centers of 3-dimensional Sklyanin algebras. Zbl 0823.17019
Artin, Michael; Schelter, William; Tate, John
1994
Quantum deformations of $$\text{GL}_ n$$. Zbl 0753.17015
Artin, Michael; Schelter, William; Tate, John
1991
An algorithm for constructing Gröbner bases from characteristic sets and its application to geometry. Zbl 0703.13023
Chou, Shang-Ching; Schelter, William F.; Yang, Jin-Gen
1990
Graded algebras of global dimension 3. Zbl 0633.16001
Artin, Michael; Schelter, William F.
1987
Proving geometry theorems with rewrite rules. Zbl 0642.68162
Chou, Shang-Ching; Schelter, William F.
1986
Smooth algebras. Zbl 0604.16015
Schelter, William F.
1986
On a question concerning generic matrices over the integers. Zbl 0577.16009
Schelter, William F.
1985
Affine rings satisfying a polynomial identity. Zbl 0504.16010
Schelter, William F.
1982
Integral ring homomorphisms. Zbl 0461.16014
Artin, M.; Schelter, W.
1981
On two-sided modules which are left projective. Zbl 0468.16019
Artin, M.; Schelter, W.
1981
A version of Zariski’s main theorem for polynomial identity rings. Zbl 0406.16011
Artin, M.; Schelter, W.
1979
Non-commutative affine P. I. rings are catenary. Zbl 0375.16015
Schelter, William
1978
Finite extensions are integral. Zbl 0404.16011
Pare, Robert; Schelter, William
1978
Skew group rings. Zbl 0389.16004
Handelman, David; Lawrence, John; Schelter, William
1978
Azumaya algebras and Artin’s theorem. Zbl 0353.16008
Schelter, W.
1977
Affine PI rings are catenary. Zbl 0372.16011
Schelter, W.
1977
Integral extensions of rings satisfying a polynomial identity. Zbl 0341.16009
Schelter, William
1976
On the Krull-Akizuki theorem. Zbl 0331.16017
Schelter, William
1976
Some pathological rings of quotients. Zbl 0344.16002
Schelter, William; Small, Lance W.
1976
Intersection theorems for some noncommutative noetherian rings. Zbl 0328.16028
Schelter, William
1976
Essential extensions and intersection theorems. Zbl 0331.16016
Schelter, W.
1975
Topological rings of quotients. Zbl 0259.16019
Schelter, William
1974
Two-sided rings of quotients. Zbl 0269.16001
Schelter, William
1973
Flat modules and torsion theories. Zbl 0262.16023
Schelter, William; Roberts, Paul
1972
Products of torsion theories. Zbl 0244.16001
Schelter, William
1971
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#### Cited by 389 Authors

 23 Zhang, James J. 13 Braun, Amiram 13 Van den Bergh, Michel 11 Schelter, William F. 11 Smith, S. Paul 10 Kirkman, Ellen E. 10 Lu, Jiafeng 10 Vancliff, Michaela 9 Berger, Roland 9 Stafford, J. Toby 8 Gateva-Ivanova, Tatiana 8 Goodearl, Kenneth R. 8 Le Bruyn, Lieven 7 Cassidy, Thomas 7 van Oystaeyen, Freddy 6 Chou, Shangching 6 Letzter, Edward S. 6 Lu, Di-Ming 6 Rogalski, Daniel 6 Shelton, Brad 6 Small, Lance W. 6 Wu, Quanshui S. 5 Dubois-Violette, Michel 5 Iyudu, Natalia K. 5 Jing, Naihuan 5 Kuzmanovich, James J. 5 Lomp, Christian 5 Mori, Izuru 5 Stephenson, Darin R. 5 Ueyama, Kenta 5 Vonessen, Nikolaus 5 Walton, Chelsea 4 Artin, Michael 4 Bichon, Julien 4 Bocklandt, Raf 4 Carvalho, Paula A. A. B. 4 De Laet, Kevin 4 Gao, Xiaoshan 4 Lenagan, Thomas H. 4 Levasseur, Thierry 4 Mao, XueFeng 4 Marconnet, Nicolas 4 Montgomery, Susan 4 Musson, Ian M. 4 Park, Jae Keol 4 Reyes, Manuel L. 4 Rump, Wolfgang 4 Shen, Yuan 4 Yakimov, Milen T. 3 Andruskiewitsch, Nicolás 3 Chirvăsitu, Alexandru 3 De Naeghel, Koen 3 Gaddis, Jason 3 Goetz, Pete 3 He, Jiwei 3 Hu, Naihong 3 Iyama, Osamu 3 Kaygun, Atabey 3 Le Meur, Patrick 3 Lorenz, Martin 3 Passman, Donald Steven 3 Regev, Amitai 3 Sierra, Susan J. 3 Tagne Pelap, Serge Roméo 3 Towber, Jacob 3 Van Rompay, Kristel 3 Vaš, Lia 3 Wang, Xingting 3 Westreich, Sara 3 Zhang, Jian 3 Zhang, Yinhuo 3 Zhu, Can 2 Angiono, Iván Ezequiel 2 Armendariz, Efraim P. 2 Beidar, Konstantin Igorevich 2 Bell, Allen D. 2 Brown, Kenneth Alexander 2 Brzeziński, Tomasz 2 Cameron, Peter Jephson 2 Cauchon, Gerard 2 Chen, Jianmin 2 Chen, Pei-Sen 2 Chin, William 2 Cohen, Miriam 2 Cuntz, Joachim 2 Davies, Andrew 2 Drensky, Vesselin 2 Faith, Carl C. 2 García, Gastón Andrés 2 Ginzburg, Victor 2 Gómez Torrecillas, José 2 Hajarnavis, Charudatta R. 2 Jakobsen, Hans Plesner 2 Jespers, Eric 2 Johnson, Garrett 2 Jøndrup, Søren 2 Kanda, Ryo 2 Kapur, Deepak 2 Kharchenko, Vladislav K. 2 Kriegk, Benoit ...and 289 more Authors
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#### Cited in 80 Serials

 111 Journal of Algebra 58 Communications in Algebra 32 Journal of Pure and Applied Algebra 20 Proceedings of the American Mathematical Society 20 Transactions of the American Mathematical Society 20 Algebras and Representation Theory 17 Advances in Mathematics 13 Israel Journal of Mathematics 10 Journal of Noncommutative Geometry 9 Mathematische Zeitschrift 7 Glasgow Mathematical Journal 5 Journal of Automated Reasoning 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Science China. Mathematics 4 Artificial Intelligence 4 Communications in Mathematical Physics 4 Mathematical Notes 4 Journal of Symbolic Computation 4 $$K$$-Theory 4 Journal of Algebra and its Applications 3 Indian Journal of Pure & Applied Mathematics 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Soviet Mathematics 3 Journal of Mathematical Sciences (New York) 3 Selecta Mathematica. New Series 3 Annals of Mathematics and Artificial Intelligence 3 Frontiers of Mathematics in China 2 Journal of Mathematical Physics 2 Archiv der Mathematik 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Advances in Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Transformation Groups 2 Acta Mathematica Sinica. English Series 2 Bulletin of the American Mathematical Society 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Ricerche di Matematica 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Journal of Computer Science and Technology 1 Algorithmica 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Computational Geometry 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 Russian Mathematics 1 Advances in Applied Clifford Algebras 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Systems Science and Complexity 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 International Electronic Journal of Algebra (IEJA) 1 Journal of $$K$$-Theory 1 São Paulo Journal of Mathematical Sciences 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Proceedings of the American Mathematical Society. Series B 1 Higher Structures
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#### Cited in 29 Fields

 396 Associative rings and algebras (16-XX) 92 Nonassociative rings and algebras (17-XX) 84 Algebraic geometry (14-XX) 32 Category theory; homological algebra (18-XX) 30 Commutative algebra (13-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Group theory and generalizations (20-XX) 17 Computer science (68-XX) 15 Functional analysis (46-XX) 13 Quantum theory (81-XX) 9 Number theory (11-XX) 7 Combinatorics (05-XX) 7 Geometry (51-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Mathematical logic and foundations (03-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX)

#### Wikidata Timeline

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