Quantales and applications to ring theory

On behalf of Mathematics and Statistics Department under the College of Arts and Sciences, you are cordially invited on a Seminar to be conducted by Jesse Elliot from California State University, Channel Island.

Abstract

A quantale is a noncommutative and point-free generalization of a topological space. Quantales were introduced in 1986 by C. J. Mulvey in order to develop the concept of noncommutative topology, to provide a lattice theoretic setting for C^*-algebras, and to provide a constructive and noncommutative setting for the foundations of quantum mechanics. In this lecture I will introduce the theory of quantales and provide some new applications to ring theory, specifically to study of star and semistar operations.

For further details kindly contact Dr. Ayman Badawi ([email protected])