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By Sergio R. López-Permouth, Dinh Van Huynh

ISBN-10: 3034602855

ISBN-13: 9783034602853

This quantity contains refereed examine and expository articles through either plenary and different audio system on the foreign convention on Algebra and functions held at Ohio college in June 2008, to honor S.K. Jain on his seventieth birthday. The articles are on a wide selection of parts in classical ring idea and module conception, equivalent to earrings pleasurable polynomial identities, jewelry of quotients, workforce earrings, homological algebra, injectivity and its generalizations, and so on. incorporated also are functions of ring concept to difficulties in coding concept and in linear algebra.

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Algebra 24 (5) (1996) 1637–1648. [20] Y. Zhou, Decomposing modules into direct sums of submodules with types. J. Pure Appl. Algebra 138 (1999), no. 1, 83–97. A. A. mx Advances in Ring Theory Trends in Mathematics, 37–46 c 2010 Birkh¨ auser Verlag Basel/Switzerland Reversible and Duo Group Rings Howard E. Bell and Yuanlin Li Abstract. We summarize recent results on reversible group rings, duo group rings, and graded reversible group rings; and we mention several open problems. Mathematics Subject Classification (2000).

Soc. 74 (2006), 139–142. [8] Y. M. Parmenter, Reversible group rings over commutative rings, Comm. Algebra 35 (2007), 4096–4104. [9] Y. M. Parmenter, Graded reversibility in integral group rings, Acta Appl. Math. 108 (2009), 129–133. [10] G. Marks, Reversible and symmetric rings, J. Pure Appl. Algebra 174 (2002), 311– 318. [11] P. Menal, Group rings in which every left ideal is a right ideal, Proc. Amer. Math. Soc. 76 (1979) 204–208. K. Sehgal, Topics in Group Rings, Marcel Dekker, New York, 1978.

Operators. J. Pure Appl. Algebra 190 (2004), no. 1-3, 251–265. [13] Raggi, Francisco, R´ıos, Jos´e, Rinc´ on, Hugo, Fern´ andez-Alonso, Rogelio, Signoret, Carlos, Prime and irreducible preradicals. J. Algebra Appl. 4 (2005), no. 4, 451–466. [14] Raggi, Francisco, R´ıos, Jos´e, Wisbauer, Robert, The lattice structure of hereditary pretorsion classes. Comm. Algebra 29(2001), no. 1, 131–140. [15] Raggi, Francisco, R´ıos Montes, Jos´e, Wisbauer, Robert, Coprime preradicals and modules. J. Pure Appl.

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Advances in Ring Theory (Trends in Mathematics) by Sergio R. López-Permouth, Dinh Van Huynh

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