Elementary Maps on Triangular Algebras
نویسنده
چکیده
In this note we prove that elementary surjective maps on triangular algebras are automatically additive. The study of elementary maps was initiated by Brešar and Šerml. Following ([1]), elementary maps are defined as follows. Definition 1. Let R and R be two rings. Suppose that M : R → R and M : R → R are two maps. Call the ordered pair (M,M) an elementary map of R×R if
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