Work

Endomorphisms and Their Role in Novel Derivations of Hilbert Algebras

Year: 2024

Type: article

Abstract: This study introduces and explores left--derivations, right--derivations, and -derivations of type and type within the framework of Hilbert algebras, focusing on their fundamental properties and structural significance. We show that the kernel of an -derivation, , forms a near filter and operates as a subalgebra of the Hilbert algebra . These findings enhance the understanding of Hilbert algebras and offer new perspectives on the role of derivations in algebraic logic.

Source: Communications on Applied Nonlinear Analysis

DOI: 10.52783/cana.v32.2736

Author: Aiyared Iampan

Institution: University of Phayao

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Phayao, Thailand Science Research and Innovation

OpenAlex ID: W4407043618

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