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arXiv · 0809.4518

Global Dimension of Polynomial Rings in Partially Commuting Variables

Ahmet A. Husainov
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Abstract

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.

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BibTeXRIS

Ahmet A. Husainov. 2008-09-26. Global Dimension of Polynomial Rings in Partially Commuting Variables. https://doi.org/10.1007/s00233-010-9264-8

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