[PDF] Top 20 Ideals and Green's relations in ordered semigroups

... of S. We have I(a) = { 0 } and I(b) = { 0 } . Since S is 0-simple, the ideals S and { 0 } are the only ideals of ...= S and I ( b ) = S . Since S is nil, by Theorem ... See full document

... in ordered semigroups and characterized some classes in terms of N-fuzzy left ...right ideals of ordered ...regular ordered semigroups in terms of N-fuzzy left ... See full document

... [23] A. Khan, Y. B. Jun, M. Shabir. 2013. Ordered Semigroups Characterized by Interval Valued (  ,   q ) -fuzzy bi-ideals. Journal of Intelligent and Fuzzy Systems. 25(1): 57-68. [24] M. Ying. ... See full document

... that ordered semigroups by the properties of interval-valued fuzzy set theory have hardly been ...investigate ordered semigroups in terms of interval-valued fuzzy ...to ordered ... See full document

... an ordered semigroup is a semigroup together with a partial order that is compatible with the semigroup ...operation. Ordered semigroups have many applications in the theory of sequential machines, ... See full document

... DF S ideal) of a BCK/BCI-algebra and gave many valuable results for this ...to ordered semigroups and defined prime and irreducible DF S ideals of an ordered semigroup over a ... See full document

... interior ideals and ( 2 ; 2 _ q )-fuzzy interior ideals of ordered semigroups are ...interior ideals of type ( 2 ; 2 _ q ) and (q ; 2 _ q ) and ( 2 ; 2 _ q )-fuzzy ideals are ... See full document

... Algebraic structures like ordered semigroups play a key role in information science, computer science, control theory and fuzzy automata. This research have defined new types of fuzzy subsystem which can be ... See full document

... set S, a fuzzy subset of S (or a fuzzy set in S) is described as an arbitrary mapping f : S → [0,1], where [0,1] is the usual interval of real ...fuzzy semigroups by Kuroki[8, ...bi- ... See full document

... Artinian ordered semigroups, the proper prime ideals are maximal ...Artinian ordered semigroups having an identity element, each proper prime ideal is a maximal ... See full document

... Green’s relations defined in terms of ordered right ideals, ordered left ideals, ordered ideals and the concept of fuzzy sets play an important role in studying the ... See full document

... and ordered filter were in- troduced by Chan and Shum ...the ordered filters play an important role which is shown by Nemitz ...via ordered filters. Jun et al. [5] discussed ordered filters of ... See full document

... an ordered Γ-semigroup G called a (λ, θ)-fuzzy generalized bi-Γ-ideal of ...bi-Γ- ideals of an ordered Γ-semigroup ...of ordered Γ-semigroups in terms of a (λ, θ)- fuzzy generalized ... See full document

... In the field of research, the study of regular semigroup becomes very important and offers valuable results by applying fuzzy property on these concepts. An important class of regular semigroups constitutes ... See full document

... ternary semigroups and characterized them by using the notion of quasi ...and S. Dewan[4] introduced and studied the properties of ideals in ternary ...of ideals is an interesting and ... See full document

... fuzzy ideals is totally ...right ideals of a semigroup and we prove that if the set of all fuzzy right ideals of S is totally ordered, then S is right weakly regular if and only ... See full document

... We introduced the notion of fuzzy ideal, fuzzy quasi ideal, fuzzy bi-ideal in an ternary semigroup and studied their properties and relations between them. We characterize the fuzzy bi-ideals in an ternary ... See full document

... approximation semigroups (resp. ideals) in semigroups induced by congru- ence relations, and provided sufficient conditions of upper and lower approximation semigroups ...(resp. ... See full document

... an ordered ternary semigroups is ...an ordered ternary semigroup T if and only if the upper level cut U ( f ; t ) is a ternary subsemigroup (respectively left ideal, right ideal, lateral ideal, ... See full document

... μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ -semigroup and we got some interesting ...fuzzy ideals and fuzzy interior ...μ)-fuzzy ideals and (λ, μ)-fuzzy interior ... See full document