On the discriminant of twisted tensor products

JOURNAL OF ALGEBRA

卷:477

Article

Gaddis, Jason¹  Kirkman, Ellen¹  Moore, W. Frank¹ 

[1] Wake Forest Univ, Dept Math & Stat, POB 7388, Winston Salem, NC 27109 USA

关键词: Discriminant;    Twisted tensor product;    Ore extension;    Skew group ring;    Automorphism group;   

DOI  :  10.1016/j.jalgebra.2016.12.019

来源: Elsevier

【 摘 要 】

We provide formulas for computing the discriminant of non commutative algebras over central subalgebras in the case of Ore extensions and skew group extensions. The formulas follow from a more general result regarding the discriminants of certain twisted tensor products. We employ our formulas to compute automorphism groups for examples in each case.(C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free