Automorphisms of incidence algebras

被引：10

作者：

Drozd, Yuriy ^{[1
]}

Kolesnik, Petro ^{[1
]}

机构：

[1] Kyiv Taras Shevchenko Univ, Dept Mech & Math, UA-01033 Kiev, Ukraine

来源：

COMMUNICATIONS IN ALGEBRA | 2007年 / 35卷 / 12期

关键词：

automorphism; cohomology; incidence algebra; partially orderd set; simplicial complex;

D O I：

10.1080/00927870701511756

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study automorphisms of the incidence algebra of a finite quasiordered set M. In particular, we describe explicitly the group of outer automorphisms and give a criterion for any automorphism of this algebra to be a product of an inner one and an automorphism of M, which corrects some results of Spiegel (2001).

引用

页码：3851 / 3854

页数：4

共 50 条

[31] INNER AUTOMORPHISMS OF VONNEUMANN ALGEBRAS
STORMER, E
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 36 (02) : 115 - 122
[32] Nakayama automorphisms of Frobenius algebras
Murray, W
JOURNAL OF ALGEBRA, 2003, 269 (02) : 599 - 609
[33] PROJECTIVE AUTOMORPHISMS ON BOOLEAN ALGEBRAS
SULLIVAN, FE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (03): : 569 - &
[34] Automorphisms of AT algebras with the Rohlin property
Kishimoto, A
JOURNAL OF OPERATOR THEORY, 1998, 40 (02) : 277 - 294
[35] Local automorphisms of operator algebras
Liu, Jung-Hui
Wong, Ngai-Ching
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (03): : 611 - 619
[36] NOTE ON AUTOMORPHISMS OF LIE ALGEBRAS
JACOBSON, N
PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (01) : 303 - &
[37] AUTOMORPHISMS OF PRIME AZUMAYA ALGEBRAS
CHI, DTM
COMMUNICATIONS IN ALGEBRA, 1984, 12 (9-10) : 1207 - 1212
[38] Automorphisms of Formal Matrix Algebras
Krylov, P. A.
Norbosambuev, T. D.
SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (05) : 885 - 893
[39] Algebras that are simple with weak automorphisms
L. Szabó
algebra universalis, 1999, 42 : 205 - 233
[40] AUTOMORPHISMS OF COMMUTATIVE BANACH ALGEBRAS
JOHNSON, BE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 40 (02) : 497 - 499

← 1 2 3 4 5 →