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- W2947839476 abstract "Let [Formula: see text] be a commutative ring. In this paper, a class of almost projective modules is introduced. An [Formula: see text]-module [Formula: see text] is said to be almost projective if [Formula: see text] for any [Formula: see text]-module [Formula: see text], where [Formula: see text] is a maximal ideal of [Formula: see text]. It is shown that an [Formula: see text]-module [Formula: see text] satisfying that [Formula: see text] is free over [Formula: see text] for any maximal ideal [Formula: see text] of [Formula: see text] is exactly almost projective. As applications, we characterize almost Dedekind domains in terms of almost projectivity and certain divisibility, respectively." @default.
- W2947839476 created "2019-06-07" @default.
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- W2947839476 date "2019-07-10" @default.
- W2947839476 modified "2023-09-25" @default.
- W2947839476 title "Homological characterizations of almost Dedekind domains" @default.
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- W2947839476 doi "https://doi.org/10.1142/s0219498820501285" @default.
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