The Radicals of Hopf Module Algebras
Shouchuan Zhang
TL;DR
This paper explores the structure of radicals in Hopf module algebras, specifically characterizing the $H$-prime radical and relating it to the radical of the smash product $R # H$, advancing understanding of algebraic radicals.
Contribution
It provides new characterizations of the $H$-prime radical and establishes relations between the radicals of smash products and Hopf module algebras.
Findings
Characterization of $H$-prime radical in Hopf module algebras
Relations between radicals of smash product $R # H$ and $H$-radical of $R$
Enhanced understanding of radical structures in Hopf algebra contexts
Abstract
The characterization of -prime radical is given in many ways. Meantime, the relations between the radical of smash product R # H and the -radical of Hopf module algebra are obtained.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Advanced Topics in Algebra