Multiplicative maps on matrix algebras
Xiaomei Yang, Fuhai Zhu

TL;DR
This paper classifies all multiplicative maps on matrix algebras over a field of characteristic zero into three distinct categories using elementary methods.
Contribution
It provides a complete classification of multiplicative maps on matrix algebras, distinguishing trivial, degenerate, and non-degenerate cases.
Findings
Identifies three classes of multiplicative maps: trivial, degenerate, non-degenerate
Uses elementary methods for classification
Provides a comprehensive understanding of multiplicative maps on matrix algebras
Abstract
In this paper, we use elementary method to give a classification of the multiplicative maps on matrix algebra over a field of characteristic . All the multiplicative maps are classified into three classes: the trivial ones, the degenerate ones and the non-degenerate ones.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms
