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The Sufficient and Necessary Conditions on Group G So that U is Locally Finite and Finitely Generated | ||
| JURNAL OF MADENAT ALELEM COLLEGE | ||
| Article 1, Volume 2, Issue 1, 2011, Pages 65-70 | ||
| Abstract | ||
| Let G be a group and A be a ring . let U be the units group in the group ring A[G]. Many recent studies in algebra deal with the structure of the group U knowing the structure of the group G and vice versa. In this paper we tried to prove the following problems . 1. What are the necessary and sufficient conditions on G so that U is locally finite? 2. What are the necessary and sufficient conditions on G so that U is finitely generated ? | ||
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