In this paper we describe when a monoid algebra K S is a noetherian PI domain which is a maximal order. Our work relies on the study of the height one w x primes of K S and of the minimal primes of the monoid S and leads to a characterization purely in terms of S. It turns out that the primes P inte
Semigroup Algebras and Noetherian Maximal Orders: a
β Scribed by Eric Jespers
- Book ID
- 106334949
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 456 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the affine building for SL n over a local field and give a characterization of distance involving Hecke operators. For n=3 we give an explicitly computable distance formula. We use this local information to show that the class number of a maximal order in a central simple algebra of dimensi
We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial identity. This applies in particular to quantized enveloping algebras and to quantized function algebras at a root of unity, as well as to c