Discussiones Mathematicae General Algebra and Applications 24(2) (2004)
185-198
doi: 10.7151/dmgaa.1084
Tapan K. Dutta and Sukhendu Kar
Department of Pure Mathematics
University of Calcutta
35, Ballygunge Circular Road, Kolkata-700019, India
e-mail: duttatapankumar@yahoo.co.in
e-mail: karsukhendu@yahoo.co.in
Keywords: ternary semiring, prime ideal, maximal ideal, ternary semi-integral domain, ternary division semiring, ternary semifield.
2000 Mathematics Subject Classification: 16Y30, 16Y60, 20N10.
[1] | T.K. Dutta and S. Kar, On regular ternary semirings, p. 343-355 in: Advances in Algebras, World Scientific Publ., Singapore 2003. |
[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). |
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[6] | U. Hebisch and H.J. Weinert, Semirings - Algebraic Theory and Applications in Computer Science, World Scientific Publ. Co. Inc., River Edge, NJ, 1998. |
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[9] | J. o\'s, 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. |
Received 13 January 2004
Revised 19 July 2004
Revised 29 November 2004