ON NILPOTENCY OF THE RIGHT SINGULAR IDEAL OF SEMIRING

NABANITA GOSWAMI, Helen K Saikia

Abstract


We introduce the concept of nilpotency of the right singular ideal of a semiring. We discuss some properties of such nilpotency and singular ideals. We show that the right singular ideal of a semiring with a.c.c. for right annihilators, is nilpotent.


Keywords


Semiring, Singular ideal, Nilpotency

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DOI: http://dx.doi.org/10.5269/bspm.v37i2.34308



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