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A note on commutativity preserving maps on M_n(โ„)

A note on commutativity preserving maps on M_n(โ„)

Let M n (F) be the set of all n ร— n matrices over a field F .Surjective maps which preserve the commutativity relation on M n (F) only in one direction have been recently classified for the case when F is an algebraically closed field.We show that the same โ€ฆ