A Decomposition Theorem for Noetherian orders in Artinian Rings
β Scribed by Ginn, S. M.; Moss, P. B.
- Book ID
- 120093925
- Publisher
- Oxford University Press
- Year
- 1977
- Tongue
- English
- Weight
- 123 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0024-6093
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A module M is said to satisfy the condition (Λ \* ) if M is a direct sum of a projective module and a quasi-continuous module. By Huynh and Rizvi (J. Algebra 223 (2000) 133; Characterizing rings by a direct decomposition property of their modules, preprint 2002) rings over which every countably gene
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