(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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/482391 |