On ideals in regular ternary semigroups

• Autorzy: Tapan K. Dutta , Sukhendu Kar , Bimal K. Maity
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

ternary semigroup; ternary group; regular ternary semigroup; completely regular ternary semigroup; intra-regular ternary semigroup; semiprime ideal; bi-ideal

Kategorie tematyczne

• 20M17: Regular semigroups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2008
• Tom: 28
• Numer: 2
• Strony: 147-159

Daty

wydano

2008

otrzymano

2007-06-27

poprawiono

2007-07-31

Twórcy

autor

Tapan K. Dutta

• Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India

autor

Sukhendu Kar

• Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India

autor

Bimal K. Maity

• Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmgaa.1140