L-ALGEBRAS WITH HYBRID STRUCTURES

Document Type : Original Manuscript

Author

Department of Mathematics, University of Bojnord, P.O. Box 9453155111, Bojnord, Iran.

10.22044/jas.2025.14706.1853

Abstract

In this paper, the notion of hybrid structure on L-algebras is introduced and some related properties are provided. Moreover, the concept of hybrid ideals in L-algebras are provided and some related results are given. In the following, the quotient L-algebras respect a hybrid ideal of an L-algebra is studied. Finally, it is proved that there is one to one correspondence
between the set all of congruence relations and the set of all hybrid ideals with a few additional
conditions.

Keywords


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