(L,*,⊙)-quasiuniform Convergence Spaces induced by Operator

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2019, v.26 no.2, pp.75-84

https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.75

Ko, Jung Mi (Department of Mathematics, Gangneung-Wonju National)
Kim, Yong Chan (Department of Mathematics, Gangneung-Wonju National)

Ko, Jung Mi, & Kim, Yong Chan. (2019). (L, *, ⊙)-QUASIUNIFORM CONVERGENCE SPACES INDUCED BY OPERATORS. 한국수학교육학회지시리즈B:순수및응용수학, 26(2), 75-84, https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.75

복사

Abstract

In this paper, we introduce quasiuniform convergence structure induced by operators on ecl-premonoid (L, <TEX>${\ast}$</TEX>, <TEX>${\odot}$</TEX>). Moreover, we obtain <TEX>$(L,\;{\ast},\;{\odot})-quasiuniform$</TEX> convergence structure induced by two <TEX>$(L,\;{\ast},\;{\odot})-quasiuniform$</TEX> convergence structures and gives their examples.

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

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Vol.26 No.2

(L, *, &#8857;)-QUASIUNIFORM CONVERGENCE SPACES INDUCED BY OPERATORS

(L,*,⊙)-quasiuniform Convergence Spaces induced by Operator

Abstract

한국수학교육학회지시리즈B:순수및응용수학

(L, *, ⊙)-QUASIUNIFORM CONVERGENCE SPACES INDUCED BY OPERATORS