Partial cohomology of groups and extensions of semilattices of abelian groups

被引:8
|
作者
Dokuchaev, Mikhailo [1 ]
Khrypchenko, Mykola [2 ]
机构
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC, Brazil
基金
巴西圣保罗研究基金会;
关键词
PARTIAL PROJECTIVE-REPRESENTATIONS; PARTIAL SCHUR MULTIPLIER; TWISTED PARTIAL ACTIONS; INVERSE-SEMIGROUPS; CROSSED-PRODUCTS; BUNDLES;
D O I
10.1016/j.jpaa.2017.11.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We extend the notion of a partial cohomology group H-n(G,A) to the case of non-unital A and find interpretations of H-1(G,A) and H-2(G,A) in the theory of extensions of semilattices of abelian groups by groups. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:2897 / 2930
页数:34
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