X-inner automorphisms of crossed products and semi-invariants of Hopf algebras

DOI10.1007/BF02772694zbMath0603.16011OpenAlexW1996493357MaRDI QIDQ1082402

Susan Montgomery, Donald S.Passman

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772694

zbMATH Keywords

enveloping algebracrossed productsemi-invariantsgroup of automorphismscocommutative Hopf algebraprime ringMartindale ring of quotientsgroup of trivial unitsgroup of X-inner automorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Group rings (16S34) Automorphisms and endomorphisms (16W20) Universal enveloping (super)algebras (17B35) Units, groups of units (associative rings and algebras) (16U60) Localization and associative Noetherian rings (16P50)

Related Items

Computing the symmetric ring of quotients, On generalized invariants of injective nonsingular module algebras, The extended centroid and \(X\)-inner automorphisms of Ore extensions

Cites Work

• Crossed products over prime rings
• Maximal quotient rings of group rings
• The Semicenter of an Enveloping Algebra is Factorial
• Crossed Products and Inner Actions of Hopf Algebras
• Idéaux bilatères des algèbres enveloppantes
• X-Inner Automorphisms of Filtered Algebras
• Cocommutative Hopf algebras with antipode
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