In this paper we study some interesting properties of regular ternary semigroups, completely regular ternary semigroups, intra-regular ternary semigroups and characterize them by using various ideals of ternary semigroups.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1140, author = {Tapan K. Dutta and Sukhendu Kar and Bimal K. Maity}, title = {On ideals in regular ternary semigroups}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {28}, year = {2008}, pages = {147-159}, zbl = {1194.20065}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1140} }
Tapan K. Dutta; Sukhendu Kar; Bimal K. Maity. On ideals in regular ternary semigroups. Discussiones Mathematicae - General Algebra and Applications, Tome 28 (2008) pp. 147-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1140/
[000] [1] M. Amyari and M.S. Moslehian, Approximate homomorphisms of Ternary Semigroups, Lett. Math. Phys. 77 (2006), 1-9. | Zbl 1112.39021
[001] [2] T.K. Dutta and S. Kar, On Regular Ternary Semirings, Advances in Algebra, Proceedings of the ICM Satellite Conference in Algebra and Related Topics, World Scientific (2003), 343-355. | Zbl 1041.16040
[002] [3] T.K. Dutta and S. Kar, A Note On Regular Ternary Semirings, Kyungpook Mathematical Journal 46 (3) 357-365.
[003] [4] J.M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995.
[004] [5] J. Los, On the extending of models I, Fundamenta Mathematicae 42 (1955), 38-54. | Zbl 0065.00401
[005] [6] M.S. Moslehian and L. Szekelyhidi, Stability of ternary homomorphisms via generalized Jensen equation, Results in Math. 49 (2006), 289-300. | Zbl 1114.39010
[006] [7] J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. USA 22 (1936), 707-713. | Zbl 0015.38802
[007] [8] M.L. Santiago, Some contributions to the study of ternary semigroups and semiheaps, (Ph.D. Thesis, 1983, University of Madras).
[008] [9] F.M. Sioson, Ideal theory in ternary semigroups, Math. Japonica 10 (1965), 63-84. | Zbl 0247.20085
[009] [10] Tamas Vasile, Regular ternary rings, An. Stiin. Univ. Al. I. Cuza. Ia si Sec. Ia Mat. 33 (2) (1987), 89-92.