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THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 13، دوره 3، شماره 2، اسفند 1992 اصل مقاله (139.97 K) | ||
چکیده | ||
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. | ||
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