Quotient of Topological Ternary Semigroup
S. Samanta, S. Jana, S. Kar

TL;DR
This paper introduces a quotient construction for topological ternary semigroups, establishing conditions for the quotient to retain semigroup or group structures within the topological setting.
Contribution
It defines a congruence-based quotient structure on topological ternary semigroups and identifies conditions for it to form a topological ternary semigroup or group.
Findings
Established conditions for quotient to be a topological ternary semigroup.
Derived criteria for the quotient to be a topological ternary group.
Extended results to cases where the base structure is a topological ternary group.
Abstract
In this paper we introduce a quotient structure on topological ternary semigroup by defining a congruence suitably. We have found conditions under which this quotient structure becomes a topological ternary semigroup. We have also obtained conditions that make this quotient a topological ternary group, whenever the base structure is a topological ternary group.
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Taxonomy
TopicsFuzzy and Soft Set Theory
