Abstract
In this paper we improve and extend duality theorems for crossed products obtained by M. Koppinen (C. Chen) from the case of base fields (Dedekind domains) to the case of arbitrary Noetherian commutative ground rings under fairly weak conditions. In particular we extend an improved version of the celebrated Blattner-Montgomery duality theorem to the case of arbitrary Noetherian commutative ground rings.
| Original language | English |
|---|---|
| Pages (from-to) | 212-240 |
| Number of pages | 29 |
| Journal | Journal of Algebra |
| Volume | 288 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jun 2005 |
Bibliographical note
Funding Information:Part of this paper extends and improves some results of my doctoral thesis at the Heinrich-Heine Universität, Düsseldorf (Germany). I am so grateful to my advisor Professor Robert Wisbauer for his wonderful supervision and the continuous encouragement and support. I am also thankful to the referee for his/her useful suggestions. Many thanks to KFUPM for the financial support and the excellent research facilities.
Keywords
- Crossed product
- Duality theorems
- Hopf algebras
- Smash product
ASJC Scopus subject areas
- Algebra and Number Theory
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