SOFT INTERSECTION h-IDEALS OF HEMIRINGS AND ITS APPLICATIONS
نویسندگان
چکیده
In this paper, we introduce a new kind of soft hemirings called soft intersection hemirings and obtain some related properties. Some basic operations are also investigated. Finally, we describe some characterizations of h-hemiregular hemirings by means of SI-h-ideals.
منابع مشابه
Fuzzy h-ideals extension in Γ-hemirings
In this paper the concept of the extension of fuzzy h-ideals in Γ-hemiring is introduced and some of its properties are investigated. Specially we have studied the extension of prime fuzzy h-ideals in Γ-hemirings and gave its characterization. 2010 AMS Classification: 03E72
متن کاملCORRESPONDENCE BETWEEN FUZZY h-IDEALS OF A Γ-HEMIRING AND FUZZY h-IDEALS OF ITS OPERATOR HEMIRINGS
In this paper we define a correspondence between the set of all fuzzy hideals of a Γ-hemiring S and the set of all fuzzy h-ideals of the operator hemirings of that Γ-hemiring. We deduce that the lattice of all fuzzy hideals of a Γ-hemiring is isomorphic to the lattice of all fuzzy h-ideals of the operator hemirings of that Γ-hemiring. Finally, the cartesian product of corresponding fuzzy h-idea...
متن کاملThe Characterization of h -semisimple Hemirings
In this paper, we consider the characterization of h -semisimple hemirings. First, the notions of ( , ) q ∈∈∨ -fuzzy h -ideals and ( , ) q ∈∈∨ -fuzzy h -interior ideals of a hemiring are introduced, and some of their properties are investigated. Then the concept of h -semisimple hemirings is introduced and its characterizations are established.
متن کاملS-Fuzzy Left h-Ideal of Hemirings
The notion of S-fuzzy left h-ideals in a hemiring is introduced and it’s basic properties are investigated.We also study the homomorphic image and preimage of S-fuzzy left h-ideal of hemirings.Using a collection of left h-ideals of a hemiring, S-fuzzy left h-ideal of hemirings are established.The notion of a finitevalued S-fuzzy left h-ideal is introduced,and its characterization is given.S-fuz...
متن کاملFuzzy h-ideals of a Γ-hemiring and its operator hemirings
Hemirings [3] which provide a common generalization of rings and distributive lattices arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, graph theory, automata theory, mathematical modelling and parallel computation systems etc.(for example, see [3], [4]). Hemirings have also been proved to be an important algebraic tool in theoretical computer science,...
متن کامل