INVERSE SEMIGROUP AS A SPECIAL CLASS OF REGULAR SEMIGROUPS
Rushadije Halili Ramani
Abstract
Rushadije Halili Ramani
Abstract
In this paper, we have studied some properties of inverse semigroups, which play an important role in the semigroup theory. Firstly, we give some general notations, definitions and auxiliary facts related to inverse semigroups. Then we study the close relationship of inverse and regular semigroup and the double inverse semigroup as a special class of inverse semigroups.
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In this paper, we have studied some properties of inverse semigroups, which play an important role in the semigroup theory. Firstly, we give some general notations, definitions and auxiliary facts related to inverse semigroups. Then we study the close relationship of inverse and regular semigroup and the double inverse semigroup as a special class of inverse semigroups.
Key concepts: Inverse semigroup, Mathematics, Inverse element, Semigroup, Inverse, Special classes of semigroups, Cancellative semigroup, Bicyclic semigroup