A Note on Ideals and Regularity in Ternary Semigroups
Anila Peposhi
Abstract
In this paper we have studied some properties of ideals in ternary semigroups.We have also studied some properties of regular ternary semigroups.We have presented some definitions and prepositions related to them.
Ternary Semigroup, Left (Right, Lateral) Ideal, Regular Ternary Semigroup,
1) A.H. Clifford, G.B. Preston, The Algebraic Theory of SemigroupsVol 1, American Mathematical Society 1961
2) John M. Howie, Fundamentals of Semigroup Theory, Clarendon Press Oxford1995
3) Otto Steinfeld, Quasi-Ideals in Rings and Semigroups, Akademia Kiado, Budapest 1978
4) F.M. Sioson, Ideal Theory in Ternary Semigroups, Math.Jpn. 10, 63-84 1965
5) D.H. Lehmer, A Ternary Analogue of Abelian Groups, Am.J.Math. 54, 329-338 1932
6) J.Los, On the Extending of Models I.Fundam.Math.42, 38-54 1955
7) J.von Neumann, On Regular Rings, Proc. Nat. Acad. Sci. USA 22, 707-713 1936
[Anila Peposhi (2020) A Note on Ideals and Regularity in Ternary Semigroups IJIREM Vol-7 Issue-6 Page No-78-81] (ISSN 2350 - 0557). www.ijirem.org
Anila Peposhi
Department of Mathematical Engineering,
Polytechnic University of Tirana, Tirana, Albania
anila87@outlook.com
DOI: 10.21276/ijirem.2020.7.6.2 
