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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.26 No.2

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

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
2019, v.26 no.2, pp.75-84
https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.75
Ko, Jung Mi
Kim, Yong Chan
Ko,, J. M. , & Kim,, Y. C. (2019). (L,*,⊙)-quasiuniform Convergence Spaces induced by Operator. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(2), 75-84, https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.75

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

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

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