%0 Journal Article
%T Global Dimension of Polynomial Rings in Partially Commuting Variables
%A Ahmet A. Husainov
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s00233-010-9264-8
%X For any free partially commutative monoid $M(E,I)$, we compute the global dimension of the category of $M(E,I)$-objects in an Abelian category with exact coproducts. As a corollary, we generalize Hilbert's Syzygy Theorem to polynomial rings in partially commuting variables.
%U http://arxiv.org/abs/0809.4518v1