IJPAM: Volume 87, No. 6 (2013)





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
Year: 2013
Volume: 87
Issue: 6