Additive derivations of incidence algebras

被引：4

作者：

Fornaroli, Erica Z. ^{[1
]}

Pezzott, Roger E. M. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, Parana, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 04期

关键词：

Derivations; directed graphs; incidence algebras;

D O I：

10.1080/00927872.2020.1854775

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present necessary and sufficient conditions for an additive derivation of an incidence algebra of a connected finite partially ordered set X to be inner. These conditions are related to the structure of X as a directed graph and can be applied for finite partially ordered sets that are not connected or even for some that are not finite.

引用

页码：1816 / 1828

页数：13

共 6 条

[1] AUTOMORPHISMS AND DERIVATIONS OF INCIDENCE ALGEBRAS [J].

BACLAWSKI, K .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 36 (02) :351-356

[2]

Bollobas B., 2013, Modern Graph Theory, V184

[3] MULTIPLICATIVE AUTOMORPHISMS OF INCIDENCE ALGEBRAS [J].

Brusamarello, Rosali ;

Fornaroli, Erica Z. ;

Santulo, Ednei A., Jr. .

COMMUNICATIONS IN ALGEBRA, 2015, 43 (02) :726-736

[4] DERIVATIONS OF FINITARY INCIDENCE RINGS [J].

Khripchenko, N. S. .

COMMUNICATIONS IN ALGEBRA, 2012, 40 (07) :2503-2522

[5]

Spiegel E., 1997, Incidence Algebras

[6]

ZHANG CQ, 1997, INTEGER FLOWS CYCLE

← 1 →