On the Non–balanced Property of the Category of Crossed Modules in Groups

نویسنده

  • SIMONA PAOLI
چکیده

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.

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تاریخ انتشار 2003