primary decomposition in a soft ring and a soft module
نویسندگان
چکیده
the main objective of this study is to swing krull intersection theorem in primary decomposition of rings and modules to the primary decomposition of soft rings and soft modules. to fulfill this aim several notions like soft prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a given unitary commutative ring. consequently, the primary decomposition of soft rings and soft modules is established. in addition, the ascending and descending chain conditions on soft ideals and soft sub modules of soft rings and soft modules are introduced, respectively, enabling us to develop the notions of soft noetherian rings and soft noetherian modules.
منابع مشابه
fuzzy soft -ring
the concept of fuzzy soft γ-ring is introduced; and some properties of fuzzy soft γ-rings are given. then the definitions of fuzzy soft γ-ideals are proposed and some of their theories are considered.
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عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 38
شماره 3.1 2014
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