# △-CLOSURES OF IDEALS WITH RESPECT TO MODULES

• Ansari-Toroghy, H. (Department of Mathematics, Faculty of Science, Guilan University) ;
• Dorostkar, F. (Department of Mathematics, Faculty of Science, Guilan University)
• Accepted : 2008.01.23
• Published : 2008.03.25

#### Abstract

Let M be an arbitrary module over a commutative Noetherian ring R and let ${\triangle}$ be a multiplicatively closed set of non-zero ideals of R. In this paper, we will introduce the dual notion of ${\triangle}$-closure and ${\triangle}$-dependence of an ideal with respect to M and obtain some related results.

#### References

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