• The Pure and Applied Mathematics
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• v.26 no.4
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• pp.255-265
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• 2019

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.

• Journal of applied mathematics & informatics
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• v.37 no.3_4
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• pp.235-244
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• 2019

In this paper, we introduce the notion of the (L,${\ast}$,${\odot}$)-limit spaces and investigate the relations (L,${\ast}$,${\odot}$)-limit spaces and (L,${\ast}$)-filters on ecl-premonoid. We give their examples.

• The Pure and Applied Mathematics
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• v.26 no.2
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• pp.75-84
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• 2019

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.

• The Pure and Applied Mathematics
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• v.25 no.4
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• pp.267-278
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• 2018

In this paper, we introduce the notion of the (L, ${\ast}$)-filter spaces on ecl-premonoids. Moreover, we obtain various (L, ${\ast}$)-filters incuced by two (L, ${\ast}$)-filters and give their examples.