Some new types of hybrid ideals in L-algebras

	Some new types of hybrid ideals in L-algebras
Journal of Algebra and Related Topics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 آبان 1405 اصل مقاله (255.2 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2026.31023.1818
نویسنده
A. Paad^*
Department of Mathematics Education, Farhangian University,Tehran, Iran\\ Department of Mathematics, University of Bojnord, Bojnord, Iran
چکیده
The main goal of this paper is to introduce hybrid positive implicative, hybrid implicative, and hybrid commutative ideals of L-algebras. In the following, some characterizations of these hybrid ideals are investigated, and it is proved that the quotient algebra induced by hybrid commutative ideals in CKL-algebras is a commutative BCK-algebra. Moreover, the relationships between hybrid positive implicative ideals, hybrid implicative ideals, and hybrid commutative ideals are discussed. It is demonstrated that in a bounded CKL-algebra with double negation, a hybrid ideal is a hybrid positive implicative ideal if and only if it is both a hybrid implicative ideal and a hybrid commutative ideal.
کلیدواژه‌ها
L-algebra؛ Hybrid positive implicative ideal؛ Hybrid implicative ideal؛ Hybrid commutative ideal

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