An example involving a non-regular -class in a semigroup

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the left regular representation of a commutative separative semigroup

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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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society

سال: 1972

ISSN: 0004-9735

DOI: 10.1017/s1446788700013653