this work is devoted to give a charcaterization of a pomonoid $s$such that all cyclic $s$-posets are regular injective.

In this article we give a characterization of monoids for which torsion freeness, ((principal) weak, strong) flatness, equalizer flatness or Condition (E) of finitely generated and (mono) cyclic acts and Condition (P) of finitely generated and cyclic acts implies regularity. A characterization of monoids for which all (finitely generated, (mono) cyclic acts are regular will be given too. We als...

Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed...

This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective.

ibn-khaldun,s social change theory has been often classified as cyclic theoty of social changes that has three stages includes in generation, growth and progress and ultimately regressive and decadence. but, what is inferred by rethink in text of ibn-khaldun,s moghaddame, are two different courses,as interrelated to each other, “civilizational evolution” and “cyclic changes of state.avoiding ma...

In this paper we define S algebras and show that every finite group can be found in some S algebra.  We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.

background: alzheimer’s disease (ad) is one of the most important neurodegenerative disorder. anti‑cyclic citrullinated peptide (anti‑ccp) may all be involved in the development of vascular disease such as ad. the aim of this study is detection of seropositivity for anti‑ccp antibody in ad patients. methods: in our study, 30 patients with ad and 29 healthy controls (age and‑sex matched) were re...