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Extensions of semilattices by left type-A semigroups

Published online by Cambridge University Press:  18 May 2009

Bernd Billhardt
Bernd Billhardt
Affiliation:
Universität-Gesamthochschule Kassel, Fachbereich 17 Mathematik/Informatik, Holländische Str. 36, D-34109 Kassel, Germany
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On a semigroup S let the relation ℛ*, sometimes denoted by ℛ, be defined by xℛ*y[(sx = txsy = ty]. A semigroup S is called left type-A, iff the set Es of idempotents of S forms a semilattice under multiplication, each element x of Sis ℛ* related to a (necessarily unique) idempotent x+, and xe = (xe)+x for all x ∈ S, е ∈ Es.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 1 , January 1997 , pp. 7 - 16
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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