Structure of virtually semisimple modules over commutative rings
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DOI: 10.1080/00927872.2020.1723611
Abstract: Abstract Modules in which every submodule is isomorphic to a direct summand is called virtually semisimple. In this article, we carry out a study of virtually semisimple modules over a commutative ring R. A structure… read more here.
Keywords: commutative rings; structure virtually; semisimple modules; virtually semisimple ... See more keywords
p-semisimple modules and type submodules
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498820500784
Abstract: In this paper, we introduce the concept of [Formula: see text]-semisimple modules. We prove that a multiplication reduced module is [Formula: see text]-semisimple if and only if it is a Baer module. We show that… read more here.
Keywords: semisimple modules; text semisimple; type submodules; formula see ... See more keywords