Category of Directed Complete L-slices

K.S. Sabna; N.R. Mangalambal

doi:10.5644/SJM.21.01.04

Authors

K.S. Sabna Associate Professor, Department of Mathematics, K.K.T.M Government College, Pullut, Kerala, India
N.R. Mangalambal Former Head, Department of Mathematics, St. Joseph's College, Irinjalakuda-680121, India

DOI:

https://doi.org/10.5644/SJM.21.01.04%20

Keywords:

Directed complete L-slice, weak \textit{S}-module homomorphism, weak \textit{S}-submodule and topological weak modules

Abstract

A new notion of action of a locale $ L $ on $ P $ is developed in the context of point free topology, given a locale $ L $ and a directed complete join semilattice $ P $ with bottom element $ 0_{P} $. This work establishes the existence of a contravariant functor from the category \textbf{TopDWMod} of topological directed weak L-modules and continuous weak L-module homomorphisms to the category \textbf{DL-slice} of directed complete L-slices and directed complete L-slice homomorphisms.

Statistics

Abstract: 188 / PDF: 38

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