e-Subalgebras and e-Homomorphisms of PGK2-Algebras

Abd El-Mohsen Badawy, Essam El-Seidy, Mohiedeen Ahmed and Ahmed Gaber

Journal of Mathematics, 2025, vol. 2025, 1-13

Abstract: This paper is devoted for three main purposes. First, subalgebras, e-subalgebras of a principal generalized K2-algebra (PGK2-algebra), and their associated principal generalized K2-triples are studied. We prove that every GM-subalgebra, GK-subalgebra, De Morgan subalgebra, Kleene subalgebra, and Boolean subalgebra of a generalized K2-algebra is a principal subalgebra. Examples are provided to determine all different types of certain principal generalized K2-algebras. Second, the completion problem concerning principal generalized K2-triples is solved and an example is given to explain how to apply it. Finally, we define homomorphisms and e-homomorphisms between two principal generalized K2-algebras. We show that every e-homomorphism determines a triple homomorphism of principal generalized K2-triples and every triple homomorphism uniquely determines an e-homomorphism of principal generalized K2-algebras.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2025/4327085.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2025/4327085.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4327085

DOI: 10.1155/jom/4327085

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().