March 29, 2024
مجتبي صداقت جو

مجتبی صداقت جو

Academic Rank: Assistant professor
Address:
Degree: Ph.D in Pure mathematics
Phone: 0917 737 2249
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title Principally weakly and weakly coherent monoids
Type Article
Keywords
Journal COMMUNICATIONS IN ALGEBRA
DOI
Researchers مجتبي صداقت جو (First researcher) ,

Abstract

We shall call a monoid S principally weakly (weakly) left coherent if direct products of nonempty families of principally weakly (weakly) flat right S-acts are principally weakly (weakly) flat. Such monoids have not been studied in general. However, Bulman-Fleming and McDowell proved that a commutative monoid S is (weakly) coherent if and only if the act S I is weakly flat for each nonempty set I. In this article we introduce the notion of finite (principal) weak flatness for characterizing (principally) weakly left coherent monoids. Also we investigate monoids over which direct products of acts transfer an arbitrary flatness property to their components.