𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homological dimension in semigroup algebras

✍ Scribed by William R Nico


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
463 KB
Volume
18
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Gelfand-Kirillov Dimension of Noetherian
✍ J. Okninski πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 664 KB

It is shown that for certain classes of semigroup algebras \(K[S]\), including right noetherian algebras, the Gelfand-Kirillov dimension is finite whenever it is finite on all cancellative subsemigroups of \(S\). Moreover, the dimension of the algebra modulo the prime radical is then an integer. A d

G-Dimension, Complete Intersection Dimen
✍ Alex Martsinkovsky πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 112 KB

It is shown that the G-dimension and the complete intersection dimension are relative projective dimensions. Relative Auslander-Buchsbaum formulas are discussed. New cohomology theories, called complexity cohomology, are constructed. The new theories play the same role in identifying rings (and modu

Homological Aspects of Noetherian PI Hop
✍ K.A. Brown; K.R. Goodearl πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 314 KB

We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial identity. This applies in particular to quantized enveloping algebras and to quantized function algebras at a root of unity, as well as to c