Existence of pseudo-superinvolutions of the first kind.

DOI10.1155/2008/386468zbMath1178.16040OpenAlexW2070770576WikidataQ58644749 ScholiaQ58644749MaRDI QIDQ938479

Ameer Jaber

Publication date: 19 August 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45274

zbMATH Keywords

Brauer-Wall groupscentral simple superalgebrassuperinvolutionsdivision superalgebrasfinite-dimensional central simple associative superalgebraspseudo-superinvolutions

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) ``Super (or ``skew) structure (16W55)

Related Items (9)

Graded linear maps on superalgebras ⋮ Unnamed Item ⋮ Polynomial identities in matrix algebras with pseudoinvolution ⋮ The existence of superinvolutions. ⋮ Automorphisms and inner automorphisms ⋮ Central simple superalgebras with anti-automorphisms of order two of the first kind. ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ A characterization of superalgebras with pseudoinvolution of exponent 2 ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths

Cites Work

• Primitive superalgebras with superinvolution
• Simple Jordan superalgebras with semisimple even part.
• Graded Brauer Groups.
• Unnamed Item
• Unnamed Item

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