Result concerning various ideals in near rings (as defined by Yakabe, Chelvam and Ganesan, Kim and Zhan and Xueling as well as some generalization thereof) that have been established over the past three decays, will be discussed. These... more
Result concerning various ideals in near rings (as defined by Yakabe, Chelvam and Ganesan, Kim and Zhan and Xueling as well as some generalization thereof) that have been established over the past three decays, will be discussed. These include the fuzzy ideals, fuzzy quasi ideals and fuzzy bi-ideals in near rings. In this talk, we extend these notion to intuitionistic fuzzy ideals, intuitionistic fuzzy quasi-ideals, intuitionistic fuzzy bi-ideals in near-rings. A relationship between various types of ideals has been established.
The aim of this paper is to introduce and study TL-subnear-rings, TL-ideals of near-rings and to obtain their characterizations. We define T-sum, T-difference, T-product of L-subsets of a near-ring R and obtain their properties. The set... more
The aim of this paper is to introduce and study TL-subnear-rings, TL-ideals of near-rings and to obtain their characterizations. We define T-sum, T-difference, T-product of L-subsets of a near-ring R and obtain their properties. The set of TL-ideals of a near-ring R equipped with L-subset inclusion relation ≤ constitutes a complete lattice with L- subset intersection as its meet is proved. The quotient near-ring (R/µ,+T, *) is obtained and proved that it is isomorphic to the quotient near-ring (R/Rµ,+T,*). Also we obtain some characterizations of homomorphism of TL-ideals of near-rings.
