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New PDF release: Advances in Ring Theory - Proceedings of: Proceedings of the

By J. L. S. Chen, N. Q. Ding

ISBN-10: 981256425X

ISBN-13: 9789812564252

The chosen papers during this quantity conceal the entire most vital parts of ring idea and module conception reminiscent of classical ring thought, illustration conception, the speculation of quantum teams, the idea of Hopf algebras, the speculation of Lie algebras and Abelian crew conception. The evaluate articles, written via experts, supply a great assessment of a few of the components of ring and module idea - excellent for researchers searching for a brand new or similar box of analysis. additionally incorporated are unique articles displaying the fad of present examine.

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Read or Download Advances in Ring Theory - Proceedings of: Proceedings of the 4th China-Japan-Korea International Conference, Nanjing, China 24-28 June 2004 PDF

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Extra info for Advances in Ring Theory - Proceedings of: Proceedings of the 4th China-Japan-Korea International Conference, Nanjing, China 24-28 June 2004

Sample text

This result is important for two reasons. Firstly, it generalises part of Harada's Theorem by replacing the LE-decomposition hypothesis by the weaker complementing maximal summands condition. Secondly, his method of proof is quite different from that of Harada's, employing module theory techniques similar to those used in a paper by Zimmermann-Huisgen and Zimmermann [51] which we will feature later. 5. (Dung) Let M = ffijg/Mj be an indecomposable decomposition of the module M which complements maximal direct summands.

F) Every module in AddM has a decomposition that complements direct summands. 4, the authors of [5] say that M has a perfect decomposition and illustrate this concept with many examples. 2 and other characterizations of right perfect rings. 4. Extending modules Much of the early use of the IsTn condition was in the investigation of the decomposition of injective modules, projective modules, and their generalizations. In this section we look at generalizations of injectivity. As an entree, we first mention an early result of Yamagata [48].

W. and Fuller, K. , Modules with decompositions that complement direct summands, 3. Algebra 22, 241-253 (1972). 3. Anderson, F. W. and Fuller, K. , Rings and Categories of Modules, Springer, Berlin (1974). 4. , Covers and envelopes via endoproperties of modules, Proc. London Math. Soc. 86, 649-665 (2003). 5. Angeleri-Hiigel, L. , Modules with perfect decompositions, preprint, 2004. 6. , Corrections and supplementaries to my paper concerning Krull-Remak-Schmidt's theorem, Nagoya Math. J. 1, 117-124 (1950).

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Advances in Ring Theory - Proceedings of: Proceedings of the 4th China-Japan-Korea International Conference, Nanjing, China 24-28 June 2004 by J. L. S. Chen, N. Q. Ding


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