2009•Journal of Jiangxi Normal UniversityRequires access
Right Adequate Monoids of Type F
Shuming Qiu
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Abstract
A right adequate monoid of type F is defined as a right adequate monoid which is an F-rpp semigroup.In this paper,our objective is to establish the F*-monoid structure theorem for right adequate monoids of type F:a semigroup is a right adequate monoid of type F if and only if it is isomorphic to some F*(M,X,Y),where(M,X,Y) is an F*-monoid system.Our result extends the related results of F-inverse semigroups.