Prime ideals in restricted differential operator rings

DOI10.1007/BF02790794zbMath0637.16019MaRDI QIDQ1098916

William Chin

Publication date: 1987

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

zbMATH Keywords

prime idealsrestricted Lie algebrasmash productrestricted enveloping algebraminimal primes\({\mathfrak g}\)-prime idealsfinite dimensional AbelianGoing downrestricted differential operator ringsymmetric quotient ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (6)

Centred bimodules over prime rings: Closed submodules and applications to ring extensions ⋮ Integral extensions of noncommutative rings ⋮ Actions of divided power Hopf algebras ⋮ Closed and prime ideals in free centred extensions ⋮ Prime ideals in Hopf Galois extensions ⋮ Spectra of smash products

Cites Work

• Unnamed Item
• Normalizing extensions: Prime ideals and incomparability. II
• Smash products and outer derivations
• Computing the symmetric ring of quotients
• Prime ideals in differential operator rings and crossed products of infinite groups
• Differential identities of prime rings
• Prime ideals in crossed products of finite groups
• Normalizing extensions: Prime ideals and incomparability
• Intermediate Normalizing Extensions
• Actions of Commutative Hopf Algebras
• Crossed Products and Inner Actions of Hopf Algebras
• Liberal Extensions
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• Cohomology of Restricted Lie Algebras
• Representations of Restricted Lie Algebras of Characteristic p

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