Ideal Theory of Semirings

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.

Autorentext

Marapureddy Murali Krishna Rao, born on 29th August 1956 in India, studied M.Sc.(Mathematics) in Andhra University. He received Doctor of Philosophy from Andhra University in 1995, under the guidance of Prof. K.L.N. Swamy. Now he works at Sankethika Vidya Parishad Engineering College, äliated to Andhra University, Visakhapatnam as professor.

Klappentext

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.