Title: Generalized “stacked bases” theorem for modules over semiperfect rings
Abstract: The history of generalized “stacked bases” theorem origins from the result of Hill and Megibben on abelian groups. We extend this theorem for modules over semiperfect rings and as a consequence we show that for a submodule H of a projective module G over a semiperfect ring, the following conditions are equivalent: there exists a decomposition G=⊕i∈IPi into a direct sum of indecomposable modules Pi, such that H=⊕i∈I(Pi∩H);G/H is a direct sum of a family of modules, isomorphic to factor modules of principal indecomposable modules.
Publication Year: 2021
Publication Date: 2021-02-10
Language: en
Type: article
Indexed In: ['crossref']
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