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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications