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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

(L,*,⊙)-quasiuniform Convergence Spaces

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2019, v.26 no.4, pp.255-265
https://doi.org/10.7468/jksmeb.2019.26.4.255
Ko, Jung Mi
Kim, Yong Chan

Abstract

In this paper, we define the notion of (L, ∗, ⊙)-quasiuniform convergence spaces on ecl-premonoid. From (L, ∗, ⊙)-quasiuniform structures, we can obtain various (L, ∗, ⊙)-quasiuniform convergence structures and give their examples.

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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics