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
收藏
页码：333 / 355
页数：23
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