[PDF] Top 20 A note on Quasi and Bi ideals in Ternary semigroups

... An elnent ’t’ in a ternary semi group T is said to be regular if there exists x,y in T such that.. If all the elements of T are regular then it is said to be regular ternary semi group..[r] ... See full document

... the ternary algebraic system in 1932, and after such structures were studied by ...in ternary semigroups studied by Sioson ...fuzzy semigroups. He also studied the concept of fuzzy ... See full document

... The notion of intuitionistic fuzzy set (IFS) was introduced by Atanassov [2] as a generalization of notion of fuzzy sets. The concept of near-rings was introduced by Pilz [9]and that of quasi-ideal in near ring ... See full document

... A ternary subsemigroup B of T is called a bi-ideal of T if BT BT B ⊆ ...A ternary subsemigroup Q of T is called a quasi-ideal of T if QT T ∩ T QT ∩ T T Q ⊆ Q and QT T ∩T T QT T ∩T T Q ⊆ ...a ... See full document

... of bi-ideal and Steinfeld [11, 12] intro- duced the notion of ...of quasi-ideals of ternary ...the quasi-ideals and bi-ideals of ternary ... See full document

... of ternary semigroup [6]. The algebraic structures of ternary semigroups were also studied by some authors, for example, Sioson studied ideals in ternary semigroups ...studied ... See full document

... in ternary semgroups. He also introduced the notion of regular ternary semigroups and characterized them by using the notion of quasi ...of ideals in ternary semigroups. ... See full document

... Fuzzy ideals in rings were introduced by ...fuzzy ideals in semirings. The theory of ternary algebraic system was introduced by ...certain ternary algebraic systems called triplexes which turn ... See full document

... fuzzy quasi ideal of S and every intuitionistic fuzzy quasi ideal of S is intuitionistic fuzzy bi-ideal of S , so A is an intuitionistic fuzzy bi-ideal of S ... See full document

... a quasi-ideal of S if SQ ∩ QS ⊆ Q , and a bi-ideal of S is a subsemigroup B of S such that BSB ⊆ ...of quasi-ideal and bi-ideal for semigroups were introduced by Steinfeld [11] and Good ... See full document

... Ternary semirings are one of the generalized structures of ...of ternary algebraic system was introduced by ...certain ternary albebraic systems called triplexes which turn out to be commutative ... See full document

... union semigroups, soft union left (right, two-sided) ideals and bi-ideals of semigroups are defined, their properties and interrelations are given and regular, intra-regular, completely ... See full document

... q ) relation of an interval-valued fuzzy point with an interval-valued fuzzy set. In fact, this new concept is a more generalized form of quasi-coincident with relation of an interval-valued fuzzy point with an ... See full document

... Ordered semigroups have many applications in the theory of sequential machines, formal languages, computer arithmetics, design of fast adders and error-correcting ...ordered semigroups was first introduced ... See full document

... The theory of fuzzy sets proposed by Zadeh [13] in 1965 has achieved a great success in various fields. Since then, Ahsan and Latif [1] investigated fuzzy quasi-ideals in a semigroup. With the research of ... See full document

... non-associative semigroups in [24] and studied soft intersection left (right, two-sided) ideals, (general- ized) bi-ideals, interior ideals, and quasi-ideals in an ...soft ... See full document

... monogenic ternary semigroups and we prove that infinite monogenic ternary semigroups are isomorphic to the ternary semigroup O , the odd positive integers with ordinary ...monogenic ... See full document

... using ternary product Warud Nakkhasen and Bundit Pibaljommee have applied the concept of ternary semiring to define left ternary near- rings, ternary subnear- rings and their ideals and ... See full document

... It is easy to check that S satisfies the left self-distributive law under ∗ , that is, x ∗ (y ∗ z) = (x ∗ y) ∗ (x ∗ z) for all x, y, z ∈ S. By Lemma 3.9 we have S(x, d) = S(d, x) = S for all x ∈ S . Furthermore we know ... See full document

... intersection ideals of semirings by using the soft set ...two-sided) ideals of semiring and soft intersection quasi and bi-ideals of semirings are introduced and several related ... See full document