A note on the paper "Homomorphism with respect to a function"
Zafer Ercan
TL;DR
This paper provides a direct proof of a key result on homomorphisms with respect to a function, avoiding the use of the Axiom of Choice, thereby simplifying the original proof.
Contribution
It offers a new, more straightforward proof of an existing theorem on homomorphisms that does not rely on the Axiom of Choice.
Findings
Proof without Axiom of Choice
Simplified demonstration of the main theorem
Enhanced understanding of homomorphism properties
Abstract
We give a direct proof of the main result of the paper "Homomorphisms with respect to a function" by K. Boulabiar and F. Gdara [1] without using the Axiom of Choice.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models