Disjunctive elements of inverse monoids
by Hsing Y. Wu  

Vol. 5 No. 1 (2010) P.111~P.121

ABSTRACT

An element of a semigroup is called $disjunctive$ if it does not form a class modulo some non-identity congruence. We first study identity elements of inverse monoids that are disjunctive. It turns out that a disjunctive identity element can be determined by a basis. We continue to analyze other disjunctive elements, and find out that disjunctive elements in some D-classes can be determined by a special element.

KEYWORDS
Inverse semigroups, monoids, disjunctive

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20M20, 08A35

MILESTONES

Received: 2008-09-19
Revised : 2009-03-24
Accepted: 2009-03-24

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