Ideal Theory of ¿- SEMIRINGS
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Ever since Nobusawa initiated the study of -rings as a generalization of ring theory which enabled a multiplication of two matrices of same order and the composition of two homomorphisms from two algebraic structures A to B with the help of auxiliary operators (say ), several mathematicians enriched the theory of -semirings, as a generalization of the theory of -rings and ternary rings. M.K. Sen initiated the study of -semigroups. T.K.Dutta and several authors made extensive studies of -semigroups. At this juncture, inspired by the above mentioned studies, the present author M. Murali Krishna ...
Ever since Nobusawa initiated the study of -rings as a generalization of ring theory which enabled a multiplication of two matrices of same order and the composition of two homomorphisms from two algebraic structures A to B with the help of auxiliary operators (say ), several mathematicians enriched the theory of -semirings, as a generalization of the theory of -rings and ternary rings. M.K. Sen initiated the study of -semigroups. T.K.Dutta and several authors made extensive studies of -semigroups. At this juncture, inspired by the above mentioned studies, the present author M. Murali Krishna Rao, introduced the notion of -semiring and studied extensively, generalizing -rings, rings, ternary semirings and semirings.
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