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).

引用

页码：563 / 578

页数：16

共 50 条

[1] Commuting traces of upper triangular matrix rings
Daniel Eremita
Aequationes mathematicae, 2017, 91 : 563 - 578
[2] COMMUTING MAPS ON STRICTLY UPPER TRIANGULAR MATRIX RINGS
Ko, Shu-wen
Liu, Cheng-kai
OPERATORS AND MATRICES, 2023, 17 (04): : 1023 - 1036
[3] Endomorphisms of upper triangular matrix rings
Dimitrinka Vladeva
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2024, 65 : 291 - 306
[4] Endomorphisms of upper triangular matrix rings
Vladeva, Dimitrinka
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2024, 65 (02): : 291 - 306
[5] On biderivations of upper triangular matrix rings
Ghosseiri, Nader M.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (01) : 250 - 260
[6] NONADDITIVE COMMUTING MAPPINGS ON TRIANGULAR n-MATRIX RINGS
Liu, Lei
Chen, Zhixuan
OPERATORS AND MATRICES, 2023, 17 (04): : 939 - 952
[7] Jordan homomorphisms of upper triangular matrix rings
Wang, Yao
Wang, Yu
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (12) : 4063 - 4069
[8] Functional identities on upper triangular matrix rings
Yuan, He
Chen, Liangyun
OPEN MATHEMATICS, 2020, 18 : 182 - 193
[9] Functional identities in upper triangular matrix rings
Eremita, Daniel
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 493 : 580 - 605
[10] Jordan isomorphisms of upper triangular matrix rings
Liu, Cheng-Kai
Tsai, Wan-Yu
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 426 (01) : 143 - 148

← 1 2 3 4 5 →