On Subtractive Ideals of (m; n)-semirings

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Authors

  • J. N. Chaudhari
     ,IN
  • Harish Nemade
     ,IN

DOI:

https://doi.org/10.18311/jims/2021/27834

Keywords:

(m, n)-semiring, Subtractive ideal, Partitioning ideal, Quotient (m
16Y60

Abstract

Let R be a commutative (m, n)-semiring with an identity element. It is proved that every partitioning ideal of R is a subtractive ideal. Also if I is a partitioning ideal of R, then a relation between the set of subtractive ideals (subtractive prime ideals) of R containing I and the set of subtractive ideals (subtractive prime ideals) of the quotient (m, n)-semiring R/I(Q) is obtained.

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Published

2021-06-14

How to Cite

Chaudhari, J. N., & Nemade, H. (2021). On Subtractive Ideals of (m; n)-semirings. The Journal of the Indian Mathematical Society, 88(3-4), 275–287. https://doi.org/10.18311/jims/2021/27834

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 J. N. Chaudhari, Harish Nemade

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2021-05-19
Accepted 2021-05-19
Published 2021-06-14

 

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