On ideals in regular ternary semigroups
Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 2, pp. 147-159.

Voir la notice de l'article provenant de la source Library of Science

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.
Keywords: ternary semigroup, ternary group, regular ternary semigroup, completely regular ternary semigroup, intra-regular ternary semigroup, semiprime ideal, bi-ideal
@article{DMGAA_2008_28_2_a1,
     author = {Dutta, Tapan and Kar, Sukhendu and Maity, Bimal},
     title = {On ideals in regular ternary semigroups},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {147--159},
     publisher = {mathdoc},
     volume = {28},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2008_28_2_a1/}
}
TY  - JOUR
AU  - Dutta, Tapan
AU  - Kar, Sukhendu
AU  - Maity, Bimal
TI  - On ideals in regular ternary semigroups
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2008
SP  - 147
EP  - 159
VL  - 28
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2008_28_2_a1/
LA  - en
ID  - DMGAA_2008_28_2_a1
ER  - 
%0 Journal Article
%A Dutta, Tapan
%A Kar, Sukhendu
%A Maity, Bimal
%T On ideals in regular ternary semigroups
%J Discussiones Mathematicae. General Algebra and Applications
%D 2008
%P 147-159
%V 28
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2008_28_2_a1/
%G en
%F DMGAA_2008_28_2_a1
Dutta, Tapan; Kar, Sukhendu; Maity, Bimal. On ideals in regular ternary semigroups. Discussiones Mathematicae. General Algebra and Applications, Tome 28 (2008) no. 2, pp. 147-159. http://geodesic.mathdoc.fr/item/DMGAA_2008_28_2_a1/

[1] M. Amyari and M.S. Moslehian, Approximate homomorphisms of Ternary Semigroups, Lett. Math. Phys. 77 (2006), 1-9.

[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.

[3] T.K. Dutta and S. Kar, A Note On Regular Ternary Semirings, Kyungpook Mathematical Journal 46 (3) 357-365.

[4] J.M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995.

[5] J. Los, On the extending of models I, Fundamenta Mathematicae 42 (1955), 38-54.

[6] M.S. Moslehian and L. Szekelyhidi, Stability of ternary homomorphisms via generalized Jensen equation, Results in Math. 49 (2006), 289-300.

[7] J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. USA 22 (1936), 707-713.

[8] M.L. Santiago, Some contributions to the study of ternary semigroups and semiheaps, (Ph.D. Thesis, 1983, University of Madras).

[9] F.M. Sioson, Ideal theory in ternary semigroups, Math. Japonica 10 (1965), 63-84.

[10] Tamas Vasile, Regular ternary rings, An. Stiin. Univ. Al. I. Cuza. Ia si Sec. Ia Mat. 33 (2) (1987), 89-92.