On some properties of Abian's semiring and its zero divisor graphs

Sarifa Khatun; Jayasri Sircar; Sk. Md. Abu Nayeem

doi:10.22342/jims.26.1.776.64-73

Sarifa Khatun ⁽¹⁾ , Jayasri Sircar ⁽²⁾ , Sk. Md. Abu Nayeem ⁽³⁾

(1) Department of Mathematics and Statistics, Aliyah University, India,

(2) Centre for Advanced Research, Lady Brabourne College, India,

(3) Aliah University, Kolkata - 700 160, India., India

https://doi.org/10.22342/jims.26.1.776.64-73

Issue
Volume 26 Number 1 (March 2020)

Submitted
September 27, 2018

Accepted
September 15, 2019

Published
March 1, 2020

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Abstract

In this paper, we have studied some properties of Abian's semiring, especially about the supremum of a subset of an Abian's semiring. We have also considered the zero divisor graphs of Abian's semiring and found some properties of those graphs.

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References

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Authors

Sarifa Khatun

Department of Mathematics and Statistics, Aliyah University

Jayasri Sircar

Centre for Advanced Research, Lady Brabourne College

Sk. Md. Abu Nayeem

Aliah University, Kolkata - 700 160, India.

nayeemsma@gmail.com (Primary Contact)

Khatun, S., Sircar, J., & Nayeem, S. M. A. (2020). On some properties of Abian’s semiring and its zero divisor graphs. Journal of the Indonesian Mathematical Society, 26(1), 64–73. https://doi.org/10.22342/jims.26.1.776.64-73