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Article: A new structure of super [R.sup.*]-unipotent semigroups (1).
- Article from:
- Scientia Magna
- Article date:
- December 1, 2006
- Author:
CopyrightCOPYRIGHT 2006 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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Abstract A super [R.sup.*]-unipotent semigroup is a super abundant semigroup S in which every [R.sup.*]-class of S contains a unique idempotent and whose idempotents form a subsemigroup of S. This kinds of semigroups have been investigated in [1], [3] and [5]. The aim of this paper is to introduce the concept of the generalized left [DELTA]-product of semigroups and to establish a new construction of super [R.sup.*]-unipotent semigroups, namely the generalized left [DELTA]-product structure of a super [R.sup.*]-unipotent semigroup.
Keywords Generalized left [DELTA]-product, super [R.sup.*]-unipotent semigroups, left regular bands, cancellative monoids
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