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arXiv · 1609.07613

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

Mitsuyasu Hashimoto
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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.

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Mitsuyasu Hashimoto. 2016-09-24. Higher-dimensional absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras. https://arxiv.org/abs/1609.07613

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