In this paper, the concepts of irreducible and strongly pseudo symmetric ideals in a partially ordered ternary semigroup are introduced. We also studied some interesting properties prove that space is topologized.
Most of the results on semigroups or ordered can be transferred to hypersemigroups hypersemigroups, respectively. The same, if we replace word "semigroup" by "groupoid", "hypersemigroup" "hypergroupoid". We show way pass from fuzzy hypersemigroups.
In this paper, we introduce the notions of interior filters, quasi-interior filters and weak-interior in a quasi-ordered semigroup. Additionally, study properties these types semigroups their interrelationships.
We consider the intuitionistic fuzzification of the concept of several ideals in an ordered semigroup S, and investigate some properties of such ideals. Mathematics Subject Classification: 06F35, 03G25, 03E72
Journal:
:bulletin of the iranian mathematical society0
n. hosseinzadeh department of
mathematics, tehran science and research branch, islamic azad
university, p.o. box 14515/1775, tehran, iran. h. doostie department of
mathematics, tehran science and research branch, islamic azad
university, p.o. box 14515/1775, tehran, iran.
decomposability of an algebraic structure into the :union: of its sub-structures goes back to g. scorza's theorem of 1926 for groups. an analogue of this theorem for rings has been recently studied by a. lucchini in 2012. on the study of this problem for non-group semigroups, the first attempt is due to clifford's work of 1961 for the regular semigroups. since then, n.p. mukherjee in ...
In this note, we show in the line of [3] that an ordered Γ-semigroup is left and right simple if and only if it does not contain proper bi-ideals. Mathematics Subject Classification: 06F99
