Session

Information Systems and Security

Description

The inverse semigroups are semigroups studied by many algebraists. In this paper we will formulate and prove some other propositions on these semigroups. So we will prove two propositions concerning the closure of a subsemigroup of a given inverse semigroup S, within the meaning introduced by Schein in 1962, two propositions on the group congruence on a normal subsemigroup of the inverse semigroup S, and a proposition about closed subsemigroup assertion of an inverse semigroup S.

Keywords:

closure of the semigroup, group congruence, closed semigroup

Proceedings Editor

Edmond Hajrizi

ISBN

978-9951-437-48-6

First Page

49

Last Page

54

Location

Durres, Albania

Start Date

28-10-2016 9:00 AM

End Date

30-10-2016 5:00 PM

DOI

10.33107/ubt-ic.2016.7

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Oct 28th, 9:00 AM Oct 30th, 5:00 PM

Some Propositions about Inverse Semigroups

Durres, Albania

The inverse semigroups are semigroups studied by many algebraists. In this paper we will formulate and prove some other propositions on these semigroups. So we will prove two propositions concerning the closure of a subsemigroup of a given inverse semigroup S, within the meaning introduced by Schein in 1962, two propositions on the group congruence on a normal subsemigroup of the inverse semigroup S, and a proposition about closed subsemigroup assertion of an inverse semigroup S.