(L, ∗, ⊙)-QUASIUNIFORM CONVERGENCE SPACES
(L,*,⊙)-quasiuniform Convergence Spaces
한국수학교육학회지시리즈B:순수및응용수학 / 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
(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, 26(4), 255-265, https://doi.org/10.7468/jksmeb.2019.26.4.255
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