Fuzzy soft N-subgroups and N-ideals over right ternary N-groups
نویسنده
چکیده
A right ternary N -group (RTNG) over a right ternary near-ring N is a generalization of its binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft N -subgroups and N -ideals over right ternary N -groups are defined and their basic algebraic properties are studied. Fuzzy soft N -subgroups and N -ideals are characterized in terms of their level sets. The homomorphic image and inverse homomorphic image of a fuzzy soft N -subgroup (N -ideal) are proved to be fuzzy soft N -subgroup (N -ideal). The basic structural properties of fuzzy soft congruence over a right ternary N -group are studied. The main result of this paper is that a normal fuzzy soft ideal can be obtained from a fuzzy soft congruence relation and vice versa. Lattice structure of the set of all fuzzy soft congruence relation over an RTNG is given. 2010 AMS Classification: 03E72, 20N10, 16Y30, 16B10, 16D25, 08A72
منابع مشابه
Fuzzy Soft Quasi-Ideals and Bi-Ideals Over a Right Ternary Near-Ring
Right ternary near-rings (RTNR) are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft Nsubgroups, quasi-ideals and bi-ideals over a right ternary near-ring N are defined. The substructures N-subgroups, quasi-ideals and bi-ideals of an RTNR are characterized in term...
متن کاملA study of fuzzy soft interior ideals of ordered semigroups
In this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered semigroup S . Some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and the supported examples are provided. Different classes, regular, intra-regular, and simple ordered semigroups are characterized by means of fuzzy soft left (r...
متن کاملGENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS
For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and in intra-regular ordered semigroups the concept of (M,N)-uni-soft ideals and the (M,N)-uni-soft interior ideals coincide. Finally, we introduc...
متن کاملOn Fuzzy Soft Right Ternary Near-Rings
The first step towards near-rings was an axiomatic research done by Dickson in 1905. In 1936, it was Zassenhaus who used the name near-ring. Many parts of the well established theory of rings are transferred to near-rings and new specific features of near-rings have been discovered. To deal with the idea of near-rings using ternary product Warud Nakkhasen and Bundit Pibaljommee have applied the...
متن کاملCharacterizations of ternary semigroups by kq , - fuzzy ideals
In this paper we have generalized the concepts of q , -fuzzy ideals, q , -fuzzy quasi-ideals and q , -fuzzy bi-ideals by introducing the concepts of k q , -fuzzy ideals, k q , -fuzzy quasiideals and k q , -fuzzy bi-ideals in ternary semigroups and several related properties are investigated. Different characterizations of regular and weakly ...
متن کامل