Homological duality and exact sequences of Hopf algebras
Julian Le Clainche
TL;DR
This paper investigates how homological duality properties of Hopf algebras are preserved or altered when these algebras are extended, providing insights into their structural stability.
Contribution
It introduces new results on the stability of homological duality under extensions of Hopf algebras, advancing understanding of their algebraic properties.
Findings
Homological duality is stable under certain algebra extensions.
Extensions can alter duality properties, depending on specific conditions.
The results apply to a broad class of Hopf algebras.
Abstract
We study the stability of homological duality properties of Hopf algebras under extensions.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Logic