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Ideals in topological ternary semigroups

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Abstract

In this paper, we discuss the notions of minimal ideals, maximal ideals and principal ideals on a topological ternary semigroup. We express the kernel of a topological ternary semigroup in different ways and provide characterizations of kernel in topological ternary semigroups. We establish equivalences between minimal left ideal, minimal ideal and maximal ternary subgroup on a paratopological ternary group.

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Acknowledgements

We are thankful to the learned referees for their valuable suggestions. We have incorporated all of their suggestions in this revised version.

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Authors and Affiliations

  1. Department of Mathematics, Goenka College of Commerce and B.A., 210 B. B. Ganguly Street, Kolkata, 700012, India

    S. Samanta

  2. Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, India

    S. Jana

  3. Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata, 700032, India

    S. Kar

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  1. S. Samanta
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  2. S. Jana
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  3. S. Kar
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Correspondence to S. Kar.

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Samanta, S., Jana, S. & Kar, S. Ideals in topological ternary semigroups. Bol. Soc. Mat. Mex. 28, 21 (2022). https://doi.org/10.1007/s40590-022-00416-9

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  • DOI: https://doi.org/10.1007/s40590-022-00416-9

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