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

页码：52 / 61

页数：10

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