On nilpotency of the right singular ideal of semiring

  • Nabanita Goswami Gauhati University Department of Mathematics
  • Helen K. Saikia Gauhati University Department of Mathematics
Keywords: Semiring, Singular ideal, Nilpotency

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.

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Author Biography

Helen K. Saikia, Gauhati University Department of Mathematics

Professor

Department of Mathematics

Gauhati University, Guwahati

Published
2017-04-23
Section
Articles