Global Dimension of Polynomial Rings in Partially Commuting Variables
Category Theory
2011-04-13 v1 K-Theory and Homology
Abstract
For any free partially commutative monoid , we compute the global dimension of the category of -objects in an Abelian category with exact coproducts. As a corollary, we generalize Hilbert's Syzygy Theorem to polynomial rings in partially commuting variables.
Keywords
Cite
@article{arxiv.0809.4518,
title = {Global Dimension of Polynomial Rings in Partially Commuting Variables},
author = {Ahmet A. Husainov},
journal= {arXiv preprint arXiv:0809.4518},
year = {2011}
}
Comments
11 pages, 2 figures