Let S be topological semigroup, we consider an appropriate semigroup compacti cation b S of S. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of b S, which arise as equivalence classes of some closed left congruence, and the minimal ow characterized by the left congruence. A particular topology is de ned on a maximal group and it is shown that...

ideals of these kinds; congruence class semirings. Abstract: Since they are closer related to the ring-theoretical concept of ideals than arbitrary semiring ideals, two-sided k-ideals and h-ideals occur in several statements on semirings. In this paper we investigate those ideals and also left-sided ones in arbitrary semirings S with commutative addition. For instance, we prove (for the rst tim...

This paper aims to explore how socialand self-factors may affect consumers’ brand loyalty while they follow companies’ microblogs. Drawing upon the commitment-trust theory, social influence theory, and self-congruence theory, we propose that network externalities, social norms, and self-congruence are the key determinants in the research model. The impacts of these factors on brand loyalty will...

By using a special t-level relation U(μ, t) = {(x, y) ∈ S × S|(μ(x) ∧ μ(y)) ∨ IdS(x, y) ≥ t} based on a fuzzy ideal μ of a semigroup S, which is a congruence relation, we study the roughness of soft semigroups under this special ideal of S, such as rough soft subsemigroups, rough soft ideals and rough soft prime ideals.

This article explores how the Satir model facilitates the development of the self of the therapist, which Virginia Satir strongly advocated. Discovering and developing creative ways to externalize the internal hidden processes of people, she invited therapists to work on their own unresolved issues in their training through various methods such as: family of origin, family reconstruction, ingre...

How 2 personalities may be best combined in a couple has often been answered in terms of similarity in partner's personality characteristics. However, results have been inconsistent. The present study proposed that relationship outcomes should depend more on the similarity between individuals' ideal mate personality concepts (IMPCs) and their partner's personality as both perceived by the self ...

A right ternary N -group (RTNG) over a right ternary near-ring N is a generalization of its binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft N -subgroups and N -ideals over right ternary N -groups are defined and their basic algebraic properties are studied. Fuzzy soft N -subgroups and N...

The Graph Minor Theorem of Robertson and Seymour establishes nonconstructively that many natural graph properties are characterized by a nite set of forbidden substructures, the obstructions for the property. We prove several general theorems regarding the computation of obstruction sets from other information about a family of graphs. The methods can be adapted to other partial orders on graph...

Let p be a prime number; for x, y ∈ Rn, we will write x ≡ y (mod p) to mean that there exists a z ∈ Rn such that x− y = pz. Otherwise put, this is congruence modulo the principal ideal pRn of Rn. Since Z ⊂ Rn, if x and y are ordinary integers, the notation x ≡ y (mod p) is ambiguous: interpreting it as a usual congruence in the integers, it means that there exists an integer n such that x− y = ...

In this paper, we focus on the notions of congruence, ideal and homomorphism on the generalized structure of multilattice. We provide suitable definitions of these notions in order to guarantee the classical relationship between these concepts.