Volume no :24, Issue no: 2, June (2021)

Journal of Algebra, Number Theory: Advances and Applications

SOME CLASSES OF QUANTALE MORPHISMS

Author's: George Georgescu
Pages: [111] - [153]
Received Date: March 5, 2021; Revised April 19, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122188

Abstract

This paper concerns some types of coherent quantale morphisms: Baer, minimalisant, quasi rigid, quasi r- and quasi morphisms. Firstly, we study how the reticulation functor preserves the properties that define these types of quantale morphisms. Secondly, we prove some characterization theorems for quasi rigid, quasi r- and quasi morphisms. These theorems extend some results existing in the literature of ring extensions and frame extensions.

Keywords

coherent quantale, reticulation of a quantale, quantale morphisms, transfer properties.