IJPAM: Volume 87, No. 6 (2013)
Department of Mathematics
University College of Engineering Panruti
Pantruti, 607 106, Tamilnadu, INDIA
Abstract. Motivated by the theory of - simple semigroup and - semigroup, in this paper we introduce the notion of - simple - semigroup. We also focus our research towards soft set theory and introduce the notion of soft - semigroup and provide some results on it. In a - simple - semigroup, we prove that - minimal ideal is a - simple - semigroup and in soft setting, we prove that the union of the two soft - semigroups is also a soft - semigroup with the condition that the intersection of the subsets are empty. Also we justify that the Cartesian product of the two soft - semigroups is also a soft - semigroup.
Received: September 6, 2013
AMS Subject Classification: 20M10, 20M99
Key Words and Phrases: - semigroup, soft sets, - simple, soft - semigroup, - simple soft - semigroup
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DOI: 10.12732/ijpam.v87i6.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395