Abstract
This work obtains all the right ideals, radicals, congruences, and ideals of the affine near-semirings over Brandt semigroups.
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Bergstra, J.A., Klop, J.W.: An Introduction to Process Algebra. Cambridge Tracts in Theoretically Computer Science, vol. 17. Cambridge University Press, Cambridge (1990)
Betsch, G.: Struktursätze für Fastringe. Inaugural-Dissertation. Eberhard-Karls-Universität zu Tübingen (1963)
Desharnais, J., Struth, G.: Domain axioms for a family of near-semirings. In: AMAST, pp. 330–345 (2008)
Jacobson, N.: Structure of rings. Am. Math. Soc. Colloq. Publ., 37 (1964). (Revised edition. American Mathematical Society, Providence, R.I.)
Krishna, K.V.: Near-Semirings: Theory and Application. Ph.D. thesis, IIT Delhi, New Delhi (2005)
Krishna, K.V., Chatterjee, N.: A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-semirings. Algebra Discret. Math. 3, 30–45 (2005)
Kumar, J.: Affine Near-Semirings over Brandt Semigroups. Ph.D. thesis, IIT Guwahati (2014)
Kumar, J., Krishna, K.V.: Affine near-semirings over Brandt semigroups. Commun. Algebra 42(12), 5152–5169 (2014)
Pilz, G.: Near-Rings: The Theory and its Applications. North-Holland Mathematics Studies, vol. 23. North-Holland Publishing Company (1983)
van Hoorn, W.G.: Some generalisations of the Jacobson radical for semi-near rings and semirings. Math. Z. 118, 69–82 (1970)
van Hoorn, W.G., van Rootselaar, B.: Fundamental notions in the theory of seminearrings. Compos. Math. 18, 65–78 (1967)
Zulfiqar, M.: A note on radicals of seminear-rings. Novi Sad J. Math. 39(1), 65–68 (2009)
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Kumar, J., Krishna, K.V. (2015). Radicals and Ideals of Affine Near-Semirings Over Brandt Semigroups. In: Romeo, P., Meakin, J., Rajan, A. (eds) Semigroups, Algebras and Operator Theory. Springer Proceedings in Mathematics & Statistics, vol 142. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2488-4_10
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DOI: https://doi.org/10.1007/978-81-322-2488-4_10
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Online ISBN: 978-81-322-2488-4
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