The prime spectrum of a BCI-algebra

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.

Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2024-12-01
DOI
https://doi.org/10.22103/jmmr.2024.23433.1647
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The prime spectrum of a BCI-algebra

SHILAP Revista de lepidopterología
Fuzzy and Soft Set Theory
article

The prime spectrum of a BCI-algebra

article en

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.

SHILAP Revista de lepidopterología
Openalex Percentile: Top 61%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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The prime spectrum of a BCI-algebra · SHILAP Revista de lepidopterología (2024) | TGRS Research Map | TGRS