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Note on topological ternary semigroup

S. Samanta, +2 more
- 01 May 2021 - 
- Vol. 14, Iss: 05, pp 2150086
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TLDR
In this article, the authors have discussed various topological properties of (Hausdorff) topological ternary semigroup and topological group and proved that the Cartesian product of an arbitrary topological semigroup can be computed in an arbitrary way.
Abstract: 
In this paper, we have discussed various topological properties of (Hausdorff) topological ternary semigroup and topological ternary group. We have proved that the Cartesian product of an arbitrary...

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References
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Journal ArticleDOI

Untersuchungen über einen verallgemeinerten Gruppenbegriff

Wilhelm Dörnte
- 01 Dec 1929 - 
Journal ArticleDOI

A Ternary Analogue of Abelian Groups

D. H. Lehmer
- 01 Apr 1932 - 
TL;DR: In this article, the authors consider the problem of triplexes and show that the existence of a triplex with no subtriplex is a result of the theory of Abelian groups.
Journal ArticleDOI

Ternary semigroups

M. L. Santiago, +1 more
TL;DR: In this paper, a regularity condition on a ternary semigroup is introduced and the properties of regular ternaries semigroups are studied, and a semigroup called the semigroup cover is constructed.
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Bi-Element Representations of Ternary Groups#

Andrzej Borowiec, +2 more
- 01 Jun 2006 - 
TL;DR: In this article, the bi-element representation theory is introduced and connections with the standard theory are considered, and for the sake of clarity and completeness the shortened versions of classical Gluskin-Hosszu and Post theorems are also presented.
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On ideals in regular ternary semigroups

T. K. Dutta, +2 more
- 01 Jan 2008 - 
TL;DR: In this paper, the authors study some interesting properties of regular ternary semigroups and characterize them by using various ideals of ternaries, e.g., the notion of semigroup idealism.