NONLINEAR DERIVATIONS OF INCIDENCE ALGEBRAS

被引：3
|
作者：
Yang, Y. [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2020年 / 162卷 / 01期
关键词：
derivation; nonlinear derivation; incidence algebra; LIE-TYPE DERIVATIONS; MAPS; PRIME;
D O I：
10.1007/s10474-019-01016-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (X, <=) be a locally finite preordered set andRa 2-torsion free commutative ring with unity,I(X, R) the incidence algebra ofXoverR. We prove that each nonlinear derivation ofI(X, R) is a sum of an inner derivation, a transitive induced derivation and an additive induced derivation. In particular, every nonlinear derivation ofI(X, R) is automatically additive.
引用
收藏
页码：52 / 61
页数：10
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