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Fixed rings and integrality

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Publication:1150027
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DOI10.1016/0021-8693(81)90277-5zbMath0455.16016OpenAlexW2004411136MaRDI QIDQ1150027

Donald S.Passman

Publication date: 1981

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90277-5


zbMATH Keywords

fixed subringfinite normalizing extensions of ringsfully integral extension of ringsgroup graded ring


Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Centralizing and normalizing extensions (16S20)


Related Items

A Noether Skolem theorem for group-graded rings. ⋮ Prime ideals in fixed rings of free algebras ⋮ Integral extensions of noncommutative rings ⋮ Unnamed Item ⋮ Oriented Hopf algebras and their actions. ⋮ Determinants, integrality and Noether's theorem for quantum commutative algebras ⋮ Associative rings ⋮ On the generic family of Cayley graphs of a finite group ⋮ Integrality and prime ideals in fixed rings of P.I. rings ⋮ Group graded rings ⋮ PRIME AND SEMIPRIME QUANTUM LINEAR SPACE SMASH PRODUCTS ⋮ Hopf algebra actions



Cites Work

  • Integrality and normalizing extensions of rings
  • Finite normalizing extensions of rings
  • Finite extensions are integral
  • Rings with Fixed-Point-Free Group Actions
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