Homogeneous involutions on graded division algebras and their polynomial identities

DOI10.1142/S0219498824501329MaRDI QIDQ6601859

Felipe Yukihide Yasumura

Publication date: 11 September 2024

Published in: Journal of Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

polynomial identitieshomogeneous involution

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

• Title not available (Why is that?)
• Graded polynomial identities for matrices with the transpose involution
• Graded polynomial identities as identities of universal algebras
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Distinguishing simple algebras by means of polynomial identities
• Homogeneous involutions on upper triangular matrices
• Group gradings on upper triangular matrices.
• Graded rings and graded Grothendieck groups
• Gradings on simple Lie algebras
• Graded identities of matrix algebras and the universal graded algebra
• Graded polynomial identities for matrices with the transpose involution over an infinite field
• Degree-inverting involutions on matrix algebras
• Degree-inverting involution on full square and triangular matrices

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