Weakly dual automorphism invariant and superfluous cotightness
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DOI: 10.1080/00927872.2019.1662915
Abstract: Abstract The aim of the present paper is to introduce and study the dual concepts of weakly automorphism invariant modules and essential tightness. These notions are non-trivial generalizations of both weakly projectivity, dual automorphism invariant… read more here.
Keywords: invariant modules; weakly dual; automorphism invariant; dual automorphism ... See more keywords
When is every module with essential socle a direct sum of automorphism-invariant modules?
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498820501856
Abstract: The purpose of this paper is to study the structure of rings over which every essential extension of a direct sum of a family of simple modules is a direct sum of automorphism-invariant modules. We… read more here.
Keywords: direct sum; sum automorphism; invariant modules; automorphism invariant ... See more keywords