On Generalised Quasi-ideals and Bi-ideals in Ternary Semigroups

• Autorzy: Dubey M. K. , Anuradha R.

Identyfikatory

DOI

10.7862/rf.2014.3

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the notions of generalised quasi-ideals and generalised bi-ideals in a ternary semigroup. We also characterised these notions in terms of minimal quasi-ideals and minimal bi-ideals in a ternary semigroup.

Słowa kluczowe

EN

ternary semigroup; quasi-ideals; bi-ideals; minimal quasi-ideals; minimal bi-ideals

PL

trójargumentowe półgrupy; quasi-ideały; bi-ideały; bi-ideały minimalne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2014
• Tom: Vol. 37
• Strony: 27--37
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Dubey M. K.

• SAG, DRDO, Metcalf House, Delhi 110054, India

autor

Anuradha R.

• Department of Mathematics, University of Delhi, Delhi 110007, India

Bibliografia

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• [5] R. A. Good and D. R. Hughes: Associated groups for a semigroup, Bull. Amer. Math. Soc. 58 (1952), 624 625.
• [6] S. Kar, On quasi-ideal and bi-ideals in ternary semiring, Int. J. Math. & Math. Sci., 18, (2005), 3015-3023.
• [7] V.N. Dixit and S. Dewan, A note on quasi and bi-ideals in ternary semigroups, Int. J. Math. & Math. Sci. 18 (3), (1995), 501-508.