A Note on Soft Regular and Soft Inverse Semigroups
Udeogu, C. *
Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria.
Obi, M.C
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
Ndubuisi, R.U
Department of Mathematics, Federal University of Technology, Owerri, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The concept of soft regular semigroups has already been introduced in literature by Ali et al. in 2009. Regular semigroups can be considered as core semigroups since it shares the same properties with groups. In this paper, we present some properties of soft regular semigroups and introduce the concept of soft inverse semigroups. Consequently, we present some properties of soft inverse semigroups.
Keywords: Soft sets, soft semigroups, soft regular semigroups, soft inverse semigroups