Maps on Matrix Algebras Preserving Commutativity

Authors: Gregor Dolinar; Peter Scaron emrl

Source: Linear and Multilinear Algebra, Volume 52, Number 1, January-February 2004 , pp. 69-78(10)

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Abstract:

Let n

3 and let M_n be the algebra of all n×n complex matrices. If is a surjective mapping satisfying if and only if , then there exist a nonzero scalar c, an invertible matrix T, a function , and an automorphism f of the field , such that either , or .

Keywords: Commutativity preserving map

Document Type: Research article

DOI: http://dx.doi.org/10.1080/03081080310001609992

Publication date: 2004-01-01