Oriented Group Involutions and Anticommutativity in Group Rings

DOI10.1080/00927872.2012.747600zbMath1321.16014OpenAlexW1969353976MaRDI QIDQ5413986

Edgar G. Goodaire, Francisco César Polcino Milies

Publication date: 2 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.747600

zbMATH Keywords

group ringssymmetric elementsskew-symmetric elementsJordan productsanticommutativityoriented involutions

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (1)

Anticommutativity of symmetric elements under generalized oriented involutions

Cites Work

• Lie properties of symmetric elements in group rings.
• Group identities on units and symmetric units of group rings.
• Lie nilpotence of group rings
• ORIENTED INVOLUTIONS AND SKEW-SYMMETRIC ELEMENTS IN GROUP RINGS
• Involutions and Anticommutativity in Group Rings

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