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Decidability Versus Undecidability of the Word Problem in Amalgams of Inverse Semigroups Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Radicals and Ideals of Affine Near-Semirings Over Brandt Semigroups

Authors : Jitender Kumar, K. V. Krishna

Published in: Semigroups, Algebras and Operator Theory

Publisher: Springer India

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Abstract

This work obtains all the right ideals, radicals, congruences, and ideals of the affine near-semirings over Brandt semigroups.

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previous chapter Prime Fuzzy Ideals, Completely Prime Fuzzy Ideals of Po--Semigroups Based on Fuzzy Points
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Literature
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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)
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Desharnais, J., Struth, G.: Domain axioms for a family of near-semirings. In: AMAST, pp. 330–345 (2008)
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Krishna, K.V.: Near-Semirings: Theory and Application. Ph.D. thesis, IIT Delhi, New Delhi (2005)
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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)MathSciNet
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Kumar, J.: Affine Near-Semirings over Brandt Semigroups. Ph.D. thesis, IIT Guwahati (2014)
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Pilz, G.: Near-Rings: The Theory and its Applications. North-Holland Mathematics Studies, vol. 23. North-Holland Publishing Company (1983)
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van Hoorn, W.G., van Rootselaar, B.: Fundamental notions in the theory of seminearrings. Compos. Math. 18, 65–78 (1967)MATH
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Zulfiqar, M.: A note on radicals of seminear-rings. Novi Sad J. Math. 39(1), 65–68 (2009)MathSciNet
Metadata
Title
Radicals and Ideals of Affine Near-Semirings Over Brandt Semigroups
Authors
Jitender Kumar
K. V. Krishna
Copyright Year
2015
Publisher
Springer India
Book
Semigroups, Algebras and Operator Theory

Print ISBN: 978-81-322-2487-7

Electronic ISBN: 978-81-322-2488-4

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-81-322-2488-4_10

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