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.
Ebrahimpour, M. (2016). SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS. Journal of Algebraic Systems, 4(1), 15-27. doi: 10.22044/jas.2016.725
MLA
M. Ebrahimpour. "SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS". Journal of Algebraic Systems, 4, 1, 2016, 15-27. doi: 10.22044/jas.2016.725
HARVARD
Ebrahimpour, M. (2016). 'SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS', Journal of Algebraic Systems, 4(1), pp. 15-27. doi: 10.22044/jas.2016.725
VANCOUVER
Ebrahimpour, M. SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS. Journal of Algebraic Systems, 2016; 4(1): 15-27. doi: 10.22044/jas.2016.725
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