Classification of 4-Dimensional Graded Algebras

DOI10.1080/00927870802467304zbMath1213.16031OpenAlexW2091310794MaRDI QIDQ3646346

Yinhuo Zhang, Hui-Xiang Chen, Aaron Armour

Publication date: 20 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802467304

zbMATH Keywords

finite-dimensional algebrasgraded algebrassuperalgebrasnumbers of irreducible componentsYetter-Drinfeld module algebrasSweedler Hopf algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Graded rings and modules (associative rings and algebras) (16W50) ``Super (or ``skew) structure (16W55) Hopf algebras and their applications (16T05)

Related Items (1)

Geometric Classification of 4-Dimensional Superalgebras

Cites Work

• How to count the number of irreducible components of the scheme of finite-dimensional algebra structures
• The algebraic and geometric classification of associative algebras of dimension five
• Group gradings on full matrix rings
• Four-dimensional Yetter-Drinfeld module algebras over \(H_4\).
• GRADINGS OF MATRIX ALGEBRAS BY CYCLIC GROUPS
• The Brauer group of Sweedler’s Hopf algebra 𝐻₄
• Graded Brauer Groups.

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