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- W2542365712 abstract "ABSTRACTWhile a module is pseudo-injective if and only if it is automorphism-invariant, it was not known whether automorphism-invariant modules are tight. It is shown that weakly automorphism-invariant modules are precisely essentially tight. We give various examples of weakly automorphism-invariant and essentially tight modules and study their properties. Some particular results: (1) R is a semiprime right and left Goldie ring if and only if every right (left) ideal is weakly injective if and only if every right (left) ideal is weakly automorphism invariant; (2) R is a CEP-ring if and only if R is right artinian and every indecomposable projective right R-module is uniform and essentially R-tight." @default.
- W2542365712 created "2016-11-04" @default.
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- W2542365712 date "2016-10-28" @default.
- W2542365712 modified "2023-09-25" @default.
- W2542365712 title "Weakly automorphism invariant modules and essential tightness" @default.
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- W2542365712 doi "https://doi.org/10.1080/00927872.2016.1238094" @default.
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