ON THE IMAGES OF $LM$-G-FILTERS AND $LM$-G-FILTERBASES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 240

Volume : 18 , Issue : 2
DOI: 10.56827/SEAJMMS.2022.1802.26
Author :
Merin Jose (Department of Mathematics, St. Thomas College Palai, Arunapuram - 686574, Kottayam, Kerala, INDIA)
Sunil C. Mathew (Department of Mathematics, Deva Matha College Kuravilangad, Kottayam - 686633, Kerala, INDIA)

Abstract

This paper studies $LM$-G-filters as a generalization of $LM$-filters. Images of $LM$-G-filter spaces and $LM$-G-filterbases induced by functions are investigated and some of their properties are derived. It is shown that the property of being weakly inspired, catalyzed, $s$-stratified and stratification of $LM$-G-filter spaces are preserved by images. Moreover the categorical connections of $LM$-G-filter spaces with neighborhood systems are also identified.

Keywords and Phrases

$LM$-G-filters, Images, Quantale, Neighborhood systems.

A.M.S. subject classification

54A20, 18A40, 06D22.

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