On ternary semifields
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 2, pp. 185-198.

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In this paper, we introduce the notion of ternary semi-integral domain and ternary semifield and study some of their properties.In particular we also investigate the maximal ideals of the ternary semiring Z¯₀.
Keywords: ternary semiring, prime ideal, maximal ideal, ternary semi-integral domain, ternary division semiring, ternary semifield
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Dutta, Tapan; Kar, Sukhendu. On ternary semifields. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 2, pp. 185-198. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_2_a2/

[1] T.K. Dutta and S. Kar, On regular ternary semirings, Advances in Algebras, World Scientific Publ., Singapore 2003, 343-355.

[2] T.K. Dutta and S. Kar, On the Jacobson radical of a ternary semiring, Southeast Asian Bull. Math. 28 (2004), 1-13.

[3] T.K. Dutta and S. Kar, On prime ideals and prime radical of ternary semirings, Bull. Calcutta Math. Soc. 97 (2005), to appear.

[4] T.K. Dutta and S. Kar, On semiprime ideals and irreducible ideals of ternary semirings, (in preparation).

[5] J.S. Golan, Semirings and their Applications, Kluwer Academic Publishers, Dordrecht 1999.

[6] U. Hebisch and H.J. Weinert, Semirings - Algebraic Theory and Applications in Computer Science, World Scientific Publ. Co. Inc., River Edge, NJ, 1998.

[7] D.H. Lehmer, A ternary analogue of abelian groups, Amer. J. Math. 59 (1932), 329-338.

[8] W.G. Lister, Ternary rings, Trans. Amer. J. Math. Soc. 154 (1971), 37-55.

[9] J. Łoś, On the extending of models I, Fund. Math. 42 (1955), 38-54.

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

[11] M.K. Sen and M.R. Adhikari, On maximal k-ideals of semirings, Proc. Amer. Math. Soc. 118 (1993), 699-703.