Fuzzy Quasi-Pseudo-b-Metrics on Algebraic Structures

Jiancai WEI ¹Yeqing SHENG ¹Lihong XIE ¹Piyu LI²

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作者信息

1. School of Mathematics and Computational Science,Wuyi University,Guangdong 529020,P.R.China
2. School of Mathematics and Statistics,Xuzhou Institute of Technology,Jiangsu 221018,P.R.China
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Abstract

In this paper,we mainly study fuzzy(quasi-)pseudo-b-metrics on algebraic structures.We mainly establish the following results:(1)If a group G with a topology τ,which is induced by a left invariant fuzzy quasi-pseudo-b-metric(resp.,pseudo-b-metric)on the G,is a right topological group,then G with the topology τ is a paratopological group(resp.,a topological group)and(2)If a semigroup S with a topology τ is induced by an invariant fuzzy quasi-pseudo-b-metric,then S with the topology τ is a topological semigroup.

Key words

left topological group/right topological group/semitopological group/paratopologi-cal group/topological group/topological semigroup/fuzzy quasi-pseudo-b-metric/invariant fuzzy(quasi-)pseudo-b-met ric

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基金项目

Natural Science Foundation of Guangdong Province(2021A1515010381)

Innovation Project of Department of Education of Guangdong Province(2022KTSCX145)

出版年

2024

数学研究及应用

大连理工大学

数学研究及应用

CSCD

影响因子：0.094

ISSN：2095-2651

参考文献量14

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