uniformly classical quasi-primary submodules
نویسندگان
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.
منابع مشابه
Uniformly classical quasi-primary submodules
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 fi...
متن کاملClassical quasi-primary submodules
In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. Then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. More...
متن کاملclassical quasi-primary submodules
in this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. in particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over noetherian rings are proved. moreover, w...
متن کاملA Note on Uniformly Primary Submodules
We introduce the concept of "uniformly primary submodules" of a module over a commutative ring R, which generalizes the concept of "uniformly primary ideals" of R, a concept that imposes a certain boundedness condition on the usual notion of "primary ideal". Several results on uniformly primary submodules are proved. Also, we characterize uniformly primary submodules of a multiplication module....
متن کاملUniformly Generated Submodules of Permutation Modules
This paper is motivated by a link between algebraic proof complexity and the representation theory of the finite symmetric groups. Our perspective leads to a series of non-traditional problems in the representation theory of Sn. Most of our technical results concern the structure of “uniformly” generated submodules of permutation modules. We consider (for example) sequences Wn of submodules of ...
متن کاملCLASSICAL 2-ABSORBING SECONDARY SUBMODULES
In this work, we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules. Let $R$ be a commutative ring with identity. We say that a non-zero submodule $N$ of an $R$-module $M$ is a emph{classical 2-absorbing secondary submodule} of $M$ ...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
algebraic structures and their applicationsناشر: yazd university
ISSN 2382-9761
دوره
شماره Articles in Press 2016
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023