Source: wikibot/auslander-buchsbaum-theorem
= Auslander–Buchsbaum theorem
{wiki=Auslander–Buchsbaum_theorem}
The Auslander–Buchsbaum theorem is a fundamental result in the field of commutative algebra, specifically in the study of modules over local rings and their projective dimensions. It provides a connection between the dimensions of modules and their resolutions.