• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.467-486
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• 1999

We introduce the concepts of a generalized state machine and a generalized transformation semigroup and discuss their algebraic properties.

• Journal of applied mathematics & informatics
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• 제6권1호
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• pp.227-238
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• 1999

We introduce several decompositons of generalized trans-formation semigroups and investigate some of their algebraic struc-tures.

• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.161-166
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• 2005

Let BQ be the class of all semigroups whose bi-ideals are quasi-ideals. It is known that regular semigroups, right [left] 0-simple semigroups and right [left] 0-simple semigroups belong to BQ. Every zero semigroup is clearly a member of this class. In this paper, we characterize when generalized full transformation semigroups and generalized Baer-Levi semigroups are in BQ in terms of the cardinalities of sets.