Mathematical Journal of Okayama University 59巻 1号
2017-01 発行

Higher-dimensional absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras

Hashimoto, Mitsuyasu Department of Mathematics Faculty of Science, Okayama University
Publication Date
2017-01
Abstract
In this paper, we define and discuss higher-dimensional and absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras. In particular, we compare these with the relative notions defined by Scheja and Storch. We also prove the validity of codimension two-argument for modules over a coherent sheaf of algebras with a 2-canonical module, generalizing a result of the author.
Keywords
canonical module
symmetric algebra
Frobenius algebra
quasi-Frobenius algebra
n-canonical module