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The prime spectrum of a BCI-algebra | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 4 - شماره پیاپی 29، اسفند 2024، صفحه 143-151 اصل مقاله (463.51 K) | ||
| نوع مقاله: Special Issue Dedicated to Prof. Esfandiar Eslami | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23433.1647 | ||
| نویسندگان | ||
| Ardavan Najafi* 1؛ Arsham Borumand Saeid2 | ||
| 1Department of Mathematics, Behbahan Branch Islamic Azad University, Behbahan, Iran | ||
| 2Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| BCI-algebras؛ prime spectrum؛ prime ideals؛ prime BCI-algebras | ||
| مراجع | ||
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[12] Naja , A., & Borumand Saeid, A. (2022). Semi prime BCI-algebras. Scienti c Bulletin Series A, Applied Mathematics and Physics, 11, 19-28. https://doi.org/10.3233/ifs-162148
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