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Fuzzy Quasi-Pseudo-b-Metrics on Algebraic Structures

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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.

left topological groupright topological groupsemitopological groupparatopologi-cal grouptopological grouptopological semigroupfuzzy quasi-pseudo-b-metricinvariant fuzzy(quasi-)pseudo-b-met ric

Jiancai WEI、Yeqing SHENG、Lihong XIE、Piyu LI

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School of Mathematics and Computational Science,Wuyi University,Guangdong 529020,P.R.China

School of Mathematics and Statistics,Xuzhou Institute of Technology,Jiangsu 221018,P.R.China

Natural Science Foundation of Guangdong ProvinceInnovation Project of Department of Education of Guangdong Province

2021A15150103812022KTSCX145

2024

10.3770/j.issn:2095-2651.2024.03.010

数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
年,卷(期)：2024.44(3)
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