Glasnik Matematicki, Vol. 44, No.1 (2009), 127-140.

COMMUTATIVITY PRESERVING MAPS ON Mn(R)

Ajda Fošner

Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-1000 Ljubljana, Slovenia
e-mail: ajda.fosner@uni-mb.si

Abstract.   We obtain the general form of continuous injective maps on Mn(R), n > 3, that preserve commutativity.

2000 Mathematics Subject Classification.   15A18, 15A27.

Key words and phrases.   Commutativity preserving map, real Jordan canonical form.

Full text (PDF) (free access)

DOI: 10.3336/gm.44.1.06

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