Elementary Maps on Triangular Algebras
Xuehan Cheng, Wu Jing

TL;DR
This paper proves that elementary maps on triangular algebras are automatically additive, establishing a key property of these algebraic structures.
Contribution
It demonstrates that elementary maps on triangular algebras inherently possess additivity, a novel result in the study of these algebraic maps.
Findings
Elementary maps on triangular algebras are automatically additive.
The result applies to a broad class of triangular algebras.
This enhances understanding of the structure of elementary maps.
Abstract
In this note we prove that elementary maps on triangular algebras are automically additive.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications
