Abstract
An algebraic category C is called balanced if the cotriple cohomology of any object of C vanishes in positive dimensions on injective coefficient modules. Important examples of balanced and of non-balanced categories occur in the literature. In this paper we prove that the category of crossed modules in groups is non-balanced.
Original language | English |
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Pages (from-to) | 19-22 |
Number of pages | 4 |
Journal | Journal of Pure and Applied Algebra |
Volume | 197 |
Issue number | 1-3 |
DOIs | |
Publication status | Published - 1 May 2005 |