𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Finitely Generated P.I. Rings of Global Dimension Two

✍ Scribed by A. Braun; C.R. Hajarnavis

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
747 KB
Volume
169
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Structure Theorem for Noetherian P.I.
A Structure Theorem for Noetherian P.I. Rings with Global Dimension Two
✍ Amiram Braun; Charudatta R Hajarnavis πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 336 KB

Let A be the Artin radical of a Noetherian ring R of global dimension two. We show that A s ReR where e is an idempotent; A contains a heredity chain of ideals and the global dimensions of the rings RrA and eRe cannot exceed two. Assume further than R is a polynomial identity ring. Let P be a minima

Finitely-Generated Algebras of Smooth Fu
Finitely-Generated Algebras of Smooth Functions, in One Dimension
✍ Graham Allan; Grayson Kakiko; A.G O'Farrell; R.O Watson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 264 KB

We characterise the closure in C (R, R) of the algebra generated by an arbitrary finite point-separating set of C functions. The description is local, involving Taylor series. More precisely, a function f # C belongs to the closure of the algebra generated by 1 , ..., r as soon as it has the ``right

On the Finiteness of the Global Dimensio
On the Finiteness of the Global Dimension for Artinian Rings
✍ 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