بررسي ساختاري كلاس مجموعه‌هاي ضربي‌- بسته‌

Algebraic Structure of the Class of Muliplicatively Closed Sets

The multiplicatively closed set is an important and useful concept in algebra. However, the class of these subsets of a ring has not been considered as an algebraic structure. In this paper, an algebraic structure on this class will be defined and the properties of this structure will be presented. In particular, we will study some conditions under which this algebraic structure becomes a copy of the Boolean ring P(X).