[PDF] Top 20 Green's relations on ternary semigroups

... Neumann regular so ∃α, β ∈ T such a = a.α.a and b = b.β.b ; By replacing a and b by their values we get a = x.y.(b.β.b) and b = u.v.(a.α.a). and then a = (x.y.b).β.b and b = (u.v.a).α.a. T is left (S, ... See full document

... binary semigroups to ternary ...regular ternary semigroup is a band (that is, a ...these semigroups, as on the structure of the set E(S) of idempotents of the ternary semigroup ... See full document

... Fuzzy semigroups have been first considered by Kuroki [7], [8], [9], [10], and fuzzy ordered groupoids and ordered semigroups, by Kehayopulu and Tsingelis [4], ...Green’s relations R, L, I of ordered ... See full document

... in semigroups, Green’s relations play an important role in the theory of ordered semigroups—especially for decompositions of such ...ordered semigroups which are defined via the Green’s ... See full document

... relative relations have remained ...Green’s relations provide a common framework for both Green’s re- lations (the most fundamental tools for investigating the structure of semigroups) and cosets ... See full document

... Green’s relations. Due to this connection we will name this new notion the Green index of a ...that Green index is strong enough to prove common generalizations of both finite index subgroup and ... See full document

... fuzzy relations. The discussion of fuzzy orthodox semigroups, as a special class of fuzzy relations, the combination and rearrangement of the idempotent elements of any concerned subject are ... See full document

... (cf. Green equivalence relations); -bi-simple semi-groups, consisting of two -classes one of which is the null class; and congruence-free semi-groups, not having congruences other than the universal ... See full document

... GREEN'S RELATIONS IN SEMI GROUPS OF FUNCTIONS by Frank A Cez us A thesis submitted for the degree of Doctor of Philosophy at the Australian National University Canberra May , 1972 i ABSTRACT In the fi[.] ... See full document

... fuzzy relations occupy a central position in the field of research and development of become very important and offers valuable results by applying fuzzy properties of many of its ...regular semigroups is ... See full document

... Kar and Maity [8] studied congruences on ternary semi- groups. Congruence is a special type of equivalence relation which plays a vital role in the quotient structure of algebraic structures. Let T be a ... See full document

... biΓ- ternary subsemigroup, intuitionistic N -fuzzy biΓ-left (right, lateral and bi) ideals have been defined and the relationship between them have been ... See full document

... monogenic ternary semigroup does not have any idem- ...infinite ternary semigroups that have no ...infinite semigroups that every element of them is an ...with ternary operation abc = ... See full document

... The authors gratefully acknowledge the financial support of the Commission of the Scientific Research Projects of Canakkale Onsekiz Mart University (Project No: FBA-2017-12[r] ... See full document

... Abstract Difficulties encountered in studying generators of semigroup BX D of binary relations defined by a complete X-semilattice of unions D arise because of the fact that they are n[r] ... See full document

... In this last chapter we describe R-unipotent, L-unipotent, inverse and group Congruences on a regular semigroup in terms of certain pairs t,K,.. is a normal congruence on the subsemigrou[r] ... See full document

... and S at 15 C did not result in an increase in the conversion of either trans-T or trans-R (Fig 8c, empty red and blue diamonds, respectively) – reaching only 26% and 17% conversion, respectively, values mirroring ... See full document

... in semigroups and characterized ...of ternary semigroups and characterize regular and intra-regular ternary semigroups by using the concept of fuzzy ideals of ternary ...the ... See full document

... spatial relations such as “above”, “below”,“before”, “after” and ...of ternary spatial relations and we have formalized them using the clock model which is based on the clock-face division and the ... See full document

... Now assume still aS 6= {0}. Then there exists x ∈ S such that ax 6= 0. But ax † · x = ax 6= 0, so ax † 6= 0, further by the foregoing proof, ax † = a. If g ∈ E(S) such that ag = a, then a = ag = ax † · g, ... See full document