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

Ko, Jung Mi;Kim, Yong Chan

  • Received : 2018.02.05
  • Accepted : 2019.03.22
  • Published : 2019.05.31

Abstract

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

Keywords

GL-monoid;cl-premonoid;ecl-premonoid;$(L,\{\ast})-filters$;$(L,\{\ast},\{\odot})-quasiuniform$ convergence spaces

Acknowledgement

Supported by : Gangneung-Wonju National University