Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity

DOI10.1080/00927877508822038zbMath0302.16018OpenAlexW2071863054MaRDI QIDQ4055821

Martha K. Smith, Susan Montgomery

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1080/00927877508822038

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Automorphisms of abstract finite groups (20D45) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Rings with polynomial identity (16Rxx)

Related Items (7)

Invariants of semisimple Lie algebras acting on associative algebras ⋮ The double centralizer theorem for semiprime algebras. ⋮ Oriented Hopf algebras and their actions. ⋮ Associative rings ⋮ On actions of Hopf algebras with cocommutative coradical ⋮ Skew derivations whose invariants satisfy a polynomial identity ⋮ Weakly separable algebras

Cites Work

• General polynomial identities. II
• Rings with involution
• Prime rings satisfying a generalized polynomial identity
• Endomorphism rings of modules over PI-algebras
• Prime rings with involution and generalized polynomial identities
• Radicals of Twisted Group Rings
• Rings with Fixed-Point-Free Group Actions
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