The prime spectrum of a BCI-algebra

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Authors

1 Department of Mathematics, Behbahan Branch Islamic Azad University, Behbahan, Iran

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

Abstract

The aim of the present paper is to define the prime spectrum of a BCI-algebra as a generalization of prime spectrum BCK-algebras with respect to prime ideals. The notions of prime spectrum BCI-algebras using prime ideals, and some properties of these concepts are studied. Finally, we attempt to generalize some useful theorems about prime spectra in BCI-algebras instead of commutative BCK-algebras.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 4 - Serial Number 29
Special issue dedicated to Professor Esfandiar Eslami
December 2024
Pages 143-151

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History

  • Receive Date: 16 May 2024
  • Revise Date: 26 August 2024
  • Accept Date: 27 September 2024

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