Simply connected incidence algebras

被引：3

作者：

Assem, I ^{[1
]}

Platzeck, MI

Redondo, MJ

Trepode, S

机构：

[1] Univ Sherbrooke, Sherbrooke, PQ J1K 2R1, Canada

[2] Univ Nacl Sur, INMABB, RA-8000 Bahia Blanca, Argentina

[3] Univ Nacl Mar Plata, Mar Del Plata, Argentina

来源：

DISCRETE MATHEMATICS | 2003年 / 269卷 / 1-3期

关键词：

simply connected incidence algebras and simplicial complexes; crowns; fundamental groups;

D O I：

10.1016/S0012-365X(03)00128-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the incidence algebra of a finite poset is not strongly simply connected if and only if its quiver contains a crown. We give a combinatorial condition on crowns which, if satisfied, forces the incidence algebra to be simply connected. The converse is not true, but we show that a simply connected incidence algebra which is not strongly simply connected always contains crowns satisfying this condition. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：333 / 355

页数：23

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