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Some results on commutative BI-Algebras | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 1 - شماره پیاپی 26، بهمن 2023، صفحه 491-510 اصل مقاله (555.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.21289.1426 | ||
| نویسندگان | ||
| Akefe Radfar* 1؛ Shahriar Soleymani2؛ Akbar Rezaei2 | ||
| 1Department of Mathematics, Payame Noor University, p.o.box. 19395-3697, Tehran, Iran | ||
| 2Department of Mathematics, Payame Noor University, p.o.box. 19395-3697, Tehran, Iran | ||
| چکیده | ||
| The notion of a (branchwise) commutative $BI$-algebra is presented, and some related properties are investigated. We show that the class of commutative $BH$-algebras is broader than the class of commutative $BI$-algebras. Moreover, we %show that prove every singular $BI$-algebra is a $BH$-algebra. Also, we define the commutative ideals in $BI$-algebras and characterize the commutative $BI$-algebras in terms of commutative ideals. | ||
| کلیدواژه‌ها | ||
| BI-algebra؛ (Branchwise) Commutative؛ Distributive؛ (Commutative) Ideal | ||
| مراجع | ||
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