Partial cohomology of groups and extensions of semilattices of abelian groups
classification
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keywords
groupsabeliancohomologyextensionspartialsemilatticescaseextend
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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.
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