2012•Siberian Mathematical JournalRequires access
The global dimension of polynomial categories in partially commuting variables
Ahmet A. Husainov
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Abstract
We study the global dimension of the category of objects of an abelian category carrying an action of a free partially commutative monoid. We calculate this dimension in the case that the abelian category has infinite coproducts and enough projectives. Previously the author solved the same problem for abelian categories with exact coproducts.