Commuting traces of upper triangular matrix rings

被引：4
作者：
Eremita, Daniel [1 ]
机构：
[1] Univ Maribor, Dept Math & Comp Sci, FNM, SLO-2000 Maribor, Slovenia
来源：
AEQUATIONES MATHEMATICAE | 2017年 / 91卷 / 03期
关键词：
Upper triangular matrix ring; commuting map; trace of a biadditive map; functional identity; LIE TRIPLE ISOMORPHISMS; FUNCTIONAL IDENTITIES; CENTRALIZING TRACES; ALGEBRAS; MAPS; MAPPINGS;
D O I：
10.1007/s00010-016-0462-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let T-n (R) be the upper triangular matrix ring over a unital ring R. Suppose that B : Tn (R) x Tn (R) is a biadditive map such that B(X, X) X = X B(X, X) for all X is an element of Tn(R). We consider the problem of describing the form of the map X bar right arrow V(X, X).
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页码：563 / 578
页数：16
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