Rings with Involution in which Every Trace is Nilpotent or Regular

DOI10.4153/CJM-1974-014-7zbMath0275.16014OpenAlexW2323287202MaRDI QIDQ5183661

Susan Montgomery

Publication date: 1974

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

Full work available at URL: https://doi.org/10.4153/cjm-1974-014-7

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Rings with polynomial identity (16Rxx)

Related Items (9)

On \(n\)-th commutators with nilpotent or regular values in rings ⋮ Associative rings ⋮ On some Montgomery's results on algebras with involution in superalgebras ⋮ A structure theorem and a positive-definiteness condition in rings with involution ⋮ On Subdirect Products of Rings without Symmetric Divisors of Zero ⋮ Superalgebras with superinvolution whose symmetric or skewsymmetric elements are regular ⋮ Rings of quotients for a class of special Jordan rings ⋮ Lie ideals with regular and nilpotent elements and a result on derivations ⋮ Quadratic Jordan Algebras whose Elements are all Regular or Nilpotent

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