Contemporary Ring Theory 2011: proceedings of the sixth China-Japan-Korea International Conference on Ring Theory
The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Rece...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore
World Scientific Pub. Co.
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| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Kothe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences. This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China-Japan-Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory |
| Beschreibung: | xxi, 235 p. ill |
| ISBN: | 9789814397681 |
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| 520 | |a The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Kothe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences. This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China-Japan-Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory | ||
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| discipline | Mathematik |
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| spelling | International Conference on Ring Theory < 2011, Suwon, Korea> Verfasser aut Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory editors, Jin Yong Kim ... [et al.] Singapore World Scientific Pub. Co. c2012 xxi, 235 p. ill txt rdacontent c rdamedia cr rdacarrier The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Kothe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences. This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China-Japan-Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory Rings (Algebra) / Congresses Ringtheorie (DE-588)4126571-3 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 2011 Suwon gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content Ringtheorie (DE-588)4126571-3 s 3\p DE-604 Kim, Jin Yong Sonstige oth World Scientific (Firm) Sonstige oth Erscheint auch als Druck-Ausgabe 9789814397674 Erscheint auch als Druck-Ausgabe 9814397679 http://www.worldscientific.com/worldscibooks/10.1142/8426#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory Rings (Algebra) / Congresses Ringtheorie (DE-588)4126571-3 gnd |
| subject_GND | (DE-588)4126571-3 (DE-588)1071861417 |
| title | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory |
| title_auth | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory |
| title_exact_search | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory |
| title_full | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory editors, Jin Yong Kim ... [et al.] |
| title_fullStr | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory editors, Jin Yong Kim ... [et al.] |
| title_full_unstemmed | Contemporary Ring Theory 2011 proceedings of the sixth China-Japan-Korea International Conference on Ring Theory editors, Jin Yong Kim ... [et al.] |
| title_short | Contemporary Ring Theory 2011 |
| title_sort | contemporary ring theory 2011 proceedings of the sixth china japan korea international conference on ring theory |
| title_sub | proceedings of the sixth China-Japan-Korea International Conference on Ring Theory |
| topic | Rings (Algebra) / Congresses Ringtheorie (DE-588)4126571-3 gnd |
| topic_facet | Rings (Algebra) / Congresses Ringtheorie Konferenzschrift 2011 Suwon Konferenzschrift |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8426#t=toc |
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