Subring depth, Frobenius extensions, and towers.

DOI10.1155/2012/254791zbMath1280.16026OpenAlexW2030231045WikidataQ58705634 ScholiaQ58705634MaRDI QIDQ715116

Lars Kadison

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/254791

zbMATH Keywords

Hopf algebrasfinite-dimensional algebrasFrobenius extensionsring extensionssubring depthstower depths

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Quasi-Frobenius rings (16L60) Bimodules in associative algebras (16D20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Hopf algebras and their applications (16T05) Centralizing and normalizing extensions (16S20)

Related Items (6)

Hopf subalgebras and tensor powers of generalized permutation modules. ⋮ Uniquely separable extensions ⋮ Odd \(H\)-depth and \(H\)-separable extensions. ⋮ Algebraic quotient modules and subgroup depth ⋮ An in-depth look at quotient modules ⋮ Subalgebra Depths Within the Path Algebra of an Acyclic Quiver

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