SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS
Author(s):
Abstract:
Let R be a commutative ring with identity and M be a unitary R-module. In this paper we generalize the concept multiplicatively closed subset of R and we study some properties of these genaralized subsets of M. Among the many results in this paper, we generalize some well-known theorems about multiplicatively closed subsets of R to these generalized subsets of M. Also we show that some other well-known results about multiplicatively closed subsets of R are not valid for these generalized subsets of M.
Keywords:
Language:
English
Published:
Journal of Algebraic Systems, Volume:4 Issue: 1, Summer - Autumn 2016
Pages:
15 to 27
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