3-Absorbing Principal T-Ideals in the Ternary Semiring of Non-positive Integers

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Authors

  • K. J. Ingale
     ,IN
  • J. N. Chaudhari
     ,IN

DOI:

https://doi.org/10.18311/jims/2019/22485

Keywords:

Ternary Semiring, Prime Ideal, 3-absorbing Ideal, Finitely Generated Ideal, T-ideal.

Abstract

Since the product of even number of elements of ternary semiring S may not be element of S, the concept of 2-absorbing ideal in S can not be defined. In this paper, we introduce the concept of 3-absorbing ideals in a commutative ternary semiring with identity element and obtain characterizations of 3-absorbing principal ideals and 3-absorbing principal T-ideals in the ternary semiring of non-positive integers.

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Published

2018-12-12

How to Cite

Ingale, K. J., & Chaudhari, J. N. (2018). 3-Absorbing Principal <I>T</I>-Ideals in the Ternary Semiring of Non-positive Integers. The Journal of the Indian Mathematical Society, 86(1-2), 38–45. https://doi.org/10.18311/jims/2019/22485

Issue

Volume 86, Issue 1-2, January-June 2019

Section

Articles

License

Copyright (c) 2018 K. J. Ingale, J. N. Chaudhari

Creative Commons License

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

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Europe PMC
Received 2018-10-11
Accepted 2023-01-30
Published 2018-12-12

 

References

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