ACTA issues

## Centralizing additive maps on rank $r$ block triangular matrices

W. L. Chooi, M. H. A. Mutalib, L. Y. Tan

Acta Sci. Math. (Szeged) 87:1-2(2021), 75-106
86/2020

 Abstract. Let $\mathbb F$ be a field and let $k,n_1,\ldots ,n_k$ be positive integers with $n_1+\cdots +n_k=n\geqslant 2$. We denote by ${\cal T}_{n_1,\ldots ,n_k}$ a block triangular matrix algebra over $\mathbb F$ with unity $I_n$ and center $Z({\cal T}_{n_1,\ldots ,n_k})$. Fixing an integer $11$ upper triangular matrices over an arbitrary field is addressed. DOI: 10.14232/actasm-020-586-y AMS Subject Classification (1991): 15A03, 15A04, 16R60 Keyword(s): centralizing map, commuting map, block triangular matrix, rank, functional identity received 6.8.2020, revised 10.8.2020, accepted 13.8.2020. (Registered under 86/2020.)