The ordered semilattice equivalence relations on ordered semihypergroups

نویسندگان

چکیده

The semilattice equivalence relations play an important role in investigating the structural properties of ordered semihypergroups. Such can be expressed terms hyperfilters. There are two concepts (ordered) hyperfilters semihypergroups which were introduced by Tang et al. [16] and Kehayopulu[9]. In this paper, we prove that those coincide characterize least on Furthermore, investigate relationship between strongly regular Finally, introduce concept p-classes-chain give characterization via such concept.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Representable Semilattice-Ordered Monoids

We show that no finite set of first-order axioms can define the class of representable semilattice-ordered monoids.

متن کامل

Semilattice ordered inverse semigroups

As Jonathan Leech has pointed out, many natural examples of inverse semigroups are semilattice ordered under the natural partial order. But there are many interesting examples of semilattice ordered inverse semigroups in which the imposed partial order is not the natural one. In this talk we shall explore the structure and properties of these examples and some other questions related to semilat...

متن کامل

Ordered Quotients and the Semilattice of Ordered Compactifications

Douglas D. MOONEY, Thomas A. RICHMOND Western Kentucky University Bowling Green, KY 42101 USA The ideas of quotient maps, quotient spaces, and upper semicontinuous decompositions are extended to the setting of ordered topological spaces. These tools are used to investigate the semilattice of ordered compactifications and to construct ordered compactifications with o-totally disconnected and o-z...

متن کامل

$(m,n)$-Hyperideals in Ordered Semihypergroups

In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied. Thereafter, we characterize $(m,n)$-regularity, $(m,0)$-regularity, and $(0,n)$-regularity of an ordered semihypergroup in terms of its $(m,n)$-hyperideals, $(m,0)$-hyperideals and $(0,n)$-hyperideal...

متن کامل

Int-soft Interior Hyperideals of Ordered Semihypergroups

The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals. In this paper, the notion of int-soft interior hyperideals are studied and their related properties are discussed. We present characterizations of interior hyperideals in terms of int-soft interior hyperideals. The concepts of int-soft hyperideals and int-soft interior hyperideals c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Quasigroups and Related Systems

سال: 2022

ISSN: ['1561-2848']

DOI: https://doi.org/10.56415/qrs.v30.02