Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635527 | Applied Mathematics and Computation | 2007 | 8 Pages |
Abstract
Let Mn(K) be the ring of all nÃn matrices over a division ring K, and f be a multiplicative matrix function from Mn(K) to a multiplicative Abelian group with zero Gâª{0} (f(AB)=f(A)f(B),âA,BâMn(K)). We call an additive transformation Ï on Mn(K) preserves a multiplicative matrix function f, if f(Ï(A))=f(A),âAâMn(K). In this paper, we characterize all additive surjective transformations on Mn(K) over any division ring K (chKâ 2) that leave a non-trivial multiplicative matrix function invariant. Applications to several related preservers are considered.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Baodong Zheng, Yang Zhang,