Nilpotent Subsets of Graded Algebras with Color Involution

DOI10.1080/00927872.2010.538782zbMath1271.16040OpenAlexW2111213259MaRDI QIDQ5389017

Jeffrey Bergen

Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.538782

zbMATH Keywords

graded algebrasnilpotent idealssuperinvolutionsskew symmetric elementsnilpotent subsetscolor involutions

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50) ``Super (or ``skew) structure (16W55)

Cites Work

• On the relationship of a ring and the subring generated by its symmetric elements
• Group graded rings
• Simple Jordan color algebras arising from associative graded algebras

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