Projections and power reduction property for generalized identities of symmetric elements

DOI10.1080/00927879908826579zbMath0934.16029OpenAlexW2001682392MaRDI QIDQ4254187

Tsiu-Kwen Lee, Ching-Yueh Pan

Publication date: 9 April 2000

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183219/1/41.pdf

zbMATH Keywords

semiprime ringscentral division algebrasextended centroidsUtumi quotient ringsprime rings with involutionsfinite dimensional central simple algebrassymmetric idempotentsmultilinear generalized polynomials

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized identities and semiprime rings with involution
• Prime nonassociative algebras
• Idempotents in simple rings
• Prime rings satisfying a generalized polynomial identity
• Lie structure of prime rings of characteristic 2
• The Lie structure in prime rings with involution
• Noetherian Pi-Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Invariant Subrings in Rings with Involution
• Invariant submodules in semi-prime rings with involution