TY - JOUR ID - 31522 TI - THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 1992 PY - 1992 VL - 3 IS - 2 SP - EP - DO - N2 - 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. UR - https://jsciences.ut.ac.ir/article_31522.html L1 - https://jsciences.ut.ac.ir/article_31522_62c3b934436e4f53005d63ad8ce419b0.pdf ER -