Ohio State nav bar

Ring Theory Seminar - André Leroy

Ring Theory Seminar
October 30, 2020
4:10PM - 5:10PM
Zoom Link: see event

Date Range
Add to Calendar 2020-10-30 16:10:00 2020-10-30 17:10:00 Ring Theory Seminar - André Leroy Title: Commutatively closed sets and their graphs   Speaker: André Leroy  - Universite Artois, Lens, France   Abstract: The notion of commutatively closed subsets was introduced in 2017 as a way of generalizing different kinds of rings such as Dedekind finite, reversible, semicommutative rings. A subset S of a ring R is commutatively closed if whenever a product ab is in S then ba is also in S. Any subset S can be embedded in a subset T which is commutatively closed. After giving quite a few examples, we will characterize a few types of elements that are commutatively closed. We will also mention some connections with the left and right annihilators and mention some subsets of a ring that are always commutatively closed. A natural topology will emerge as well as a graph. We will define the diameter of a ring and compute the diameter of any Artinian semisimple algebra. At the end of the talk, we will mention a few open problems.    This is a joint work with D. Alghazzawi (Saudi Arabia) and M. Abdi (Iran)    Seminar Zoom Link   Meeting ID: 927 3710 0856 Password: 694623 Zoom Link: see event Department of Mathematics math@osu.edu America/New_York public
Title: Commutatively closed sets and their graphs
 
Speaker: André Leroy  - Universite Artois, Lens, France
 
Abstract: The notion of commutatively closed subsets was introduced in 2017 as a way of generalizing different kinds of rings such as Dedekind finite, reversible, semicommutative rings. A subset S of a ring R is commutatively closed if whenever a product ab is in S then ba is also in S. Any subset S can be embedded in a subset T which is commutatively closed. After giving quite a few examples, we will characterize a few types of elements that are commutatively closed. We will also mention some connections with the left and right annihilators and mention some subsets of a ring that are always commutatively closed. A natural topology will emerge as well as a graph. We will define the diameter of a ring and compute the diameter of any Artinian semisimple algebra. At the end of the talk, we will mention a few open problems.
 
 This is a joint work with D. Alghazzawi (Saudi Arabia) and M. Abdi (Iran) 
 
 
Meeting ID: 927 3710 0856 Password: 694623

Events Filters: