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FILTER SPACES ON ECL-PREMONOIDS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2018, v.25 no.4, pp.267-278
https://doi.org/10.7468/jksmeb.2018.25.4.267
Kim, Young-Hee
Kang, Taewon
Kim, Yong Chan

Abstract

In this paper, we introduce the notion of the (L, <TEX>${\ast}$</TEX>)-filter spaces on ecl-premonoids. Moreover, we obtain various (L, <TEX>${\ast}$</TEX>)-filters incuced by two (L, <TEX>${\ast}$</TEX>)-filters and give their examples.

keywords
GL-monoid, cl-premonoid, ecl-premonoid, (L, <tex> ${\ast}$</tex>)-filters

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics