Quotient of Topological Ternary Semigroup
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910570215636992 |
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| author | Samanta, S. Jana, S. Kar, S. |
| author_facet | Samanta, S. Jana, S. Kar, S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09747 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quotient of Topological Ternary Semigroup Samanta, S. Jana, S. Kar, S. Group Theory General Topology 20M99, 22A99 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. |
| title | Quotient of Topological Ternary Semigroup |
| topic | Group Theory General Topology 20M99, 22A99 |
| url | https://arxiv.org/abs/2408.09747 |