JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 5, Pages 519 - 533
(October 2016) http://dx.doi.org/10.17654/NT038050519 |
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ON THE STRUCTURE OF FINITELY GENERATED PRIMARY MODULES
Khaerudin Saleh, Pudji Astuti and Intan Muchtadi-Alamsyah
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Abstract: Given a finitely generated primary module over a principal ideal domain, we present the structure of its endomorphism ring and identify a fully invariant submodule in terms of a cyclic decomposition of the module. Furthermore, we use this identification to characterize S‑prime submodules. |
Keywords and phrases: endomorphism ring, fully invariant submodules, primary modules, principal ideal domain. |
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