Additivity of Jordan Elementary Maps on Rings
Wu Jing
TL;DR
This paper proves that Jordan elementary surjective maps on rings inherently possess additivity, simplifying their algebraic structure and understanding.
Contribution
It establishes the automatic additivity of Jordan elementary surjective maps on rings, a previously unconfirmed property.
Findings
Jordan elementary surjective maps are additive
Simplifies understanding of ring homomorphisms
Provides foundational result for ring theory
Abstract
We prove that Jordan elementary surjective maps on rings are automatically additive.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Advanced Operator Algebra Research