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- Syed Eqbal Alam, Shrisha Rao, Bijan Davvaz
- J. Applied Mathematics
- 2013

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 (2008), we consider systems made up of several components… (More)

We propose a new class of algebraic structure named as (m, n)-semihyperring which is a generalization of usual semi-hyperring. We define the basic properties of (m, n)-semihyperring like identity elements, weak distributive (m, n)-semihyperring, zero sum free, additively idempotent, hyperideals, homomorphism, inclusion homomorphism, congruence relation,… (More)

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