%0 Journal Article %T THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 1992 %\ 12/01/1992 %V 3 %N 2 %P - %! THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP %R %X In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. Finally concrete examples of commutative separative semigroups, their decompositions and their left regular representations are given. %U https://jsciences.ut.ac.ir/article_31522_62c3b934436e4f53005d63ad8ce419b0.pdf