(m,n)-Semirings and a Generalized Fault-Tolerance Algebra of Systems

We propose a new class of mathematical structures called (m,n)-semirings (which generalize the usual semirings) and describe their basic properties. We define partial ordering and generalize the concepts of congruence, homomorphism, and so forth, for (m,n)-semirings. Following earlier work by Rao (2...

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Bibliographic Details
Main Authors: Syed Eqbal Alam, Shrisha Rao, Bijan Davvaz
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/482391