Download Advances in Ring Theory by J. L. S. Chen, N. Q. Ding PDF

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

The chosen papers during this quantity disguise the entire most crucial parts of ring thought and module concept equivalent to classical ring concept, illustration conception, the speculation of quantum teams, the speculation of Hopf algebras, the speculation of Lie algebras and Abelian workforce conception. The evaluation articles, written through experts, supply a good assessment of some of the parts of ring and module concept - perfect for researchers searching for a brand new or similar box of research. additionally integrated are unique articles displaying the fad of present study.

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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). 7. Baba, Y. , On almost M-projectives and almost Minjectives, Tsukuba J. Math. 14, 53-69 (1990). 8. Bass, H. Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer.

N. ) But, R[D, C] is left morphic by Example 3. Thus, by Theorem 1, every element of C is left 32 [D, C]-morphic. So by Lemma 8, UAV is left [Mn(£»),Mn(C')]-morphic. Therefore, by Lemma 7, A is left [Mn(£>),Mn(C)]-morphic. 2. Since every unit regular ring is strongly left morphic, it is raised in [4, Question] whether a strongly left morphic, semiprimitive ring is necessarily unit regular. The answer is "No" by Example 9. ACKNOWLEDGEMENTS The research was carried out during a visit by the first author to Memorial University of Newfoundland and Brock University.

Birkenmeier, H. E. Heatherly, J. Y. Kim and J. K. Park, Triangular matrix representations, J. Algebra 230 (2000), 558-595. 5. G. F. Birkenmeier, J. Y. Kim and J. K. Park, On quasi-Baer rings, Algebras and Its Applications (D. V. Huynh, S. K. Jain and S. R. )), Contemp. Math. 259, Amer. Math. , Providence (2000), 67-92. 24 6. G. F. Birkenmeier, J. Y. Kim and J. K. Park, Principally quasi-Baer rings, Comm. Algebra 29 (2001), 639-660. 7. G, F. Birkenmeier, B. J. Miiller and S. T. Rizvi, Modules in which every fully invariant submodule is essential in a direct summand, Comm.

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