Homomorphisms of d -simple inverse semigroups with identity
1964; Mathematical Sciences Publishers; Volume: 14; Issue: 3 Linguagem: Inglês
10.2140/pjm.1964.14.1111
ISSN1945-5844
Autores Tópico(s)Mathematical Dynamics and Fractals
ResumoMunn determined all homomorphisms of a regular Rees matrix semigroup S into a Rees matrix semigroup S* [3,2], This generalized an earlier theorem due to Rees [7,2].We consider the homomorphism problem for an important class of ^-simple semigroups.Let S be a ώ-simple inverse semigroup with identity.Such semigroups are characterized by the following conditions [1,4,2].Al: S is cZ-simple.A2: S has an identity element.A3: Any two idempotents of S commute.It is shown by Clifford [1] that the structure of S is determined by that of its right unit semigroup P and that P has the following properties:Bl: The right cancellation law hold in P. B2: P has an identity element.B3: The intersection of two principal left ideals of P is a principal left ideal of P.
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