In this paper, first the congruences in the category PosAct-S of all poset acts over a
pomonoid S; an S-act in the category Pos of all posets, with action preserving monotone …

Action of a pomonoid on partially ordered sets (S-posets) has beautiful aspects in practical
subjects such as automata theory, projection algebra and theoretical computer science …

In this paper, we present a new way of defining the property of being WRP-Noetherian by
making use of principal right poideals. Additionally, we provide a characterization of WRP …

In this paper, we define a new closure operator on category of S-posets and study some
properties of this closure operator. Also, we define the class of order vitally dense …

In this paper, the notion of injectivity with respect to order dense embeddings in the category
ofS-posets, posets with a monotone action of a pomonoidS on them, is studied. We give a …

Injectivity is one of the useful notions in algebra, as well as in many other branches of
mathematics, and the study of injectivity with respect to different classes of monomorphisms …

In this paper, we define and consider, the category {\bf FPos}-$ S $ of all $ S $-fuzzy posets
and action-preserving monotone maps between them. $ S $-fuzzy poset congruences which …

In this paper, after recalling the category PosAct-S of all poset acts over a pomonoid S; an S-
act in the category Pos of all posets, with action preserving monotone maps between them …

The intersection ideal graph Г (S) of a semigroup S is a simple undirected graph whose
vertices are all nontrivial left ideals of S and two distinct left ideals I; J are adjacent if and …

Let $\mathcal M $ be a class of (mono) morphisms in a category $\mathcal A $. To study
mathematical notions, such as injectivity, tensor products, flatness, one needs to have some …