Abstract

Some Properties of Soft Inverse Semigroups

Anu Joy1* and Susha D2

1* Assistant Professor, Department of Mathematics, St. Dominics College Kanjirappally, 686512, Kerala, INDIA. 2 Associate Professor, Department of Mathematics, Catholicate College, Pathanamthitta, 689645, Kerala, INDIA.

ABSTRACT

The concept of soft set theory is a general mathematical tool for dealing with uncertainty and vagueness. In this paper, we introduce the concept of soft sets to inverse semigroups and investigate some properties of soft inverse semigroups. We give a relation connecting soft inverse semigroups and soft groups. AMS Classification: 20M18, 03E75, 06D72.

Keywords :Inverse semigroups, soft inverse semigroups, soft inverse subsemigroups.

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