uniformly classical quasi-primary submodules

نویسندگان

mohammad hassan naderi

چکیده

in this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. then we investigate for a ring $r$, when any finite intersection of (uniformly) primary submodules of any $r$-module is a (uniformly) classical quasi-primary submodule. furthermore, the behavior of classical quasi-primary and uniformly classical quasi-primary submodules under localizations are studied. also, we investigate the existence of (minimal) primary submodules containing classical quasi-primary submodules.

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عنوان ژورنال:
algebraic structures and their applications

ناشر: yazd university

ISSN 2382-9761

دوره

شماره Articles in Press 2016

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