E-Finitely generated groups |
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| Authors: | Agnes T Paras |
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| Institution: | Department of mathematics , University of the philippines , Quezon, Diliman, 1101 |
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| Abstract: | An abelian group G is said to be E-finitely generated (respectively, E-cyclic) if it is finitely generated (resp., cyclic) as a module over its endomorphism ring E. In this paper we refine a theorem of Reid 5] cUid apply the result to settle a question of some years standing concerning infinitely gen¬erated groups. We also determine the structure of torsion-free groups of finite rank for which Q ?z is a progenerator over Q ?z E |
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