On nilpotency of the right singular ideal of semiring

Authors

  • Nabanita Goswami Gauhati University Department of Mathematics
  • Helen K. Saikia Gauhati University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i2.34308

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.

Author Biography

  • Helen K. Saikia, Gauhati University Department of Mathematics

    Professor

    Department of Mathematics

    Gauhati University, Guwahati

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Published

2017-04-23

Issue

Vol. 37 No. 2 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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