Some Studies on Semirings

International Journal of Mathematical Trends and Technology (IJMTT)          
© 2013 by IJMTT Journal
Volume-4 Issue-11                           
Year of Publication : 2013
Authors : Y.Monikarchana , N.Sulochana


Y.Monikarchana , N.Sulochana"Some Studies on Semirings"International Journal of Mathematical Trends and Technology (IJMTT),V4(11):344-349 2013. Published by Seventh Sense Research Group.

In this paper, we study the structures of Boolean Semirings and multiplicatively semirings. We proved that, Let S be a multiplicatively subidempotent semiring which contains multiplicative identity 1 which is also additive identity. Then (i) S is viterbi semiring. (ii) (S, +) is commutative. We framed an example for this theorem by considering three element set.


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Absorbing, Positive Rational Domain (PRD), Viterbi semiring, Weak commutative, Zeroid.