Abstract
Homology groups modulo $q$ of a precrossed $P$-module in any dimensions are defined in terms of nonabelian derived functors, where $q$ is a nonnegative integer. The Hopf formula is proved for the second homology group modulo $q$ of a precrossed $P$-module which shows that for $q=0$ our definition is a natural extension of Conduché and Ellis' definition [CE]. Some other properties of homologies of precrossed $P$-modules are investigated.
Citation
Nick Inassaridze. Emzar Khmaladze. "More about homological properties of precrossed modules." Homology Homotopy Appl. 2 (1) 105 - 114, 2000.
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