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-...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-pseudob-metric,then S with the topology τ is a topological semigroup.展开更多
基金Supported by the Natural Science Foundation of Guangdong Province(Grant No.2021A1515010381)the Innovation Project of Department of Education of Guangdong Province(Grant No.2022KTSCX145)。
文摘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-pseudob-metric,then S with the topology τ is a topological semigroup.
