Pure-injective modules over path algebras
β Scribed by Frank Okoh
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 1020 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We investigate certain pure injective modules over generalised Weyl algebras. We consider pure injective hulls of finite length modules, the elementary duals of these, torsionfree pure injective modules, and the closure in the Ziegler spectrum of the category of finite length modules supported on a
ww xx Let k be an algebraically closed field of characteristic zero, O O s k x , . . . , x n 1 n the ring of formal power series over k, and D D the ring of differential operators n over O O . Suppose that is a prime ideal of O O of height n y 1; i.e., A s O O r is a n n n curve. We prove that every
However, while a right βΊ-pure-injective ring is semiprimary with maximum condition on annihilator right ideals, a right pure-injective ring is only Von Neumann regular modulo the radical with the idempotent-lifting property 200