The Von Neumann Regular Radical and Jacobson Radical of Crossed Products

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dc.creatorZhang, Shouchuan
dc.date2003-11-28
dc.date.accessioned2026-07-07T05:03:22Z
dc.date.available2026-07-07T05:03:22Z
dc.descriptionWe construct the $H$-von Neumann regular radical for $H$-module algebras and show that it is an $H$-radical property. We obtain that the Jacobson radical of twisted graded algebra is a graded ideal. For twisted $H$-module algebra $R$, we also show that $r_{j}(R#_σH)= r_{Hj}(R)#_σH$ and the Jacobson radical of $R$ is stable, when $k$ is an algebraically closed field or there exists an algebraic closure $F$ of $k$ such that $r_j(R \otimes F) = r_j(R) \otimes F$, where $H$ is a finite-dimensional, semisimple, cosemisimple, commutative or cocommutative Hopf algebra over $k$. In particular, we answer two questions J.R.Fisher asked.
dc.description15pages
dc.identifierhttps://arxiv.org/abs/math/0311519
dc.identifierhttp://arxiv.org/abs/math/0311519
dc.identifierActa Math. Hungar., 86(2000)4, 319-333
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69386
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16w30
dc.titleThe Von Neumann Regular Radical and Jacobson Radical of Crossed Products
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