(L,*,⊙)-quasiuniform Convergence Spaces
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.4, pp.255-265
https://doi.org/10.7468/jksmeb.2019.26.4.255
Ko, Jung Mi
Kim, Yong Chan
Ko,,
J.
M.
, &
Kim,,
Y.
C.
(2019). (L,*,⊙)-quasiuniform Convergence Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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