IJPAM: Volume 85, No. 3 (2013)
RIGHT TERNARY NEAR-RINGS
1Department of Mathematics
Quaid-E-Millath Government College for Women (Autonomous)
Chennai - 600 002, Tamil Nadu, INDIA
2Department of Mathematics
Bharathi Women's College (Autonomous)
Chennai - 108, Tamil Nadu, INDIA
Abstract. Right ternary near-rings are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parametrized family of subsets of a universal set. The authors in their earlier paper have introduced fuzzy soft right ternary near-rings, fuzzy soft ideals and studied their basic algebraic properties. In this paper fuzzy soft prime ideals, completely prime ideals and completely semi-prime ideals over a right ternary near-ring are defined and their basic algebraic properties are studied. The characterization theorems for fuzzy soft prime ideals, completely prime ideals and completely semi-prime ideals are given.
Received: January 29, 2013
AMS Subject Classification: 16Y30, 03E72, 08A02, 20N10, 06B10
Key Words and Phrases: fuzzy soft set, fuzzy soft ideals, prime ideal, level set
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DOI: 10.12732/ijpam.v85i3.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395