A tower condition characterizing normality (Q297519)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A tower condition characterizing normality |
scientific article; zbMATH DE number 6598413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A tower condition characterizing normality |
scientific article; zbMATH DE number 6598413 |
Statements
A tower condition characterizing normality (English)
0 references
27 June 2016
0 references
In this paper, the author defines and investigates a left relative separable tower of rings. It is shown that a progenerator extension has right depth 2 if and only if the ring extension together with its right endomorphism ring is a left relative H-separable tower. This result applies to twisted or ordinary Frobenius extensions with a surjective Frobenius homomorphism. Thereby, normality for Hopf subalgebras of finite dimensional Hopf algebras is characterized via this tower condition.
0 references
Frobenius extension
0 references
H-separable extension
0 references
normal subring
0 references
induced characters
0 references
subring depth
0 references
Hopf subalgebra
0 references
