𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Global Dimension of a q-Skew Polynomial Ring

✍ Scribed by Scot A. Woodward


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
187 KB
Volume
227
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Krull Dimension of Generalized Weyl Alge
✍ V Bavula; F van Oystaeyen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 357 KB

Many rings that have enjoyed growing interest in recent years, e.g., quantum enveloping algebras, quantum matrices, certain Witten-algebras, . . . , can be presented as generalized Weyl algebras. In the paper we develop techniques for calculating dimensions, here mainly the Krull dimension in the se

On the Finiteness of the Global Dimensio
✍ Andrzej SkowroΕ„ski; Sverre O. SmalΓΈ; Dan Zacharia πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 51 KB

In this note we prove that for a left artinian ring of infinite global dimension there exists an indecomposable left module with both infinite projective dimension and infinite injective dimension.  2002 Elsevier Science (USA) The purpose of this note is to prove the following theorem motivated by

A Combinatorial Proof of a Recursion for
✍ Kendra Killpatrick πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 196 KB

The Kostka numbers K \* + play an important role in symmetric function theory, representation theory, combinatorics and invariant theory. The q-Kostka polynomials K \* + (q) are the q-analogues of the Kostka numbers and generalize and extend the mathematical meaning of the Kostka numbers. Lascoux an

The Module Structure of a Group Action o
✍ Dikran B Karagueuzian; Peter Symonds πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 141 KB

For any representation of a p-group G on a vector space of dimension 3 over a finite field k of characteristic p, we show how the symmetric algebra, regarded as a kG-module, can be expressed as a direct sum of kG-modules, each one of which is isomorphic to a summand in low degree. It follows that, f