Gradings on block-triangular matrix algebras

DOI10.1090/proc/16586MaRDI QIDQ6083341

Plamen Koshlukov, Diogo Diniz Pereira da Silva e Silva, Unnamed Author

Publication date: 31 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalgraded algebragraded Jacobson radicalblock-triangular matrix algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50) Filtered associative rings; filtrational and graded techniques (16W70) Radicals and radical properties of associative rings (16N99)

Cites Work

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• Abelian gradings on upper-triangular matrices
• Methods of graded rings.
• Group gradings on upper block triangular matrices
• Minimal varieties of algebras of exponential growth.
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Group gradings on the Lie and Jordan algebras of block-triangular matrices
• Group gradings on upper triangular matrices.
• Abelian Gradings on Upper Block Triangular Matrices
• Group-Graded Rings, Smash Products, and Group Actions
• On the codimension growth of 𝐺-graded algebras
• Codimension growth and minimal superalgebras
• Group Gradings on Matrix Algebras
• Structural matrix algebras, generalized flags, and gradings
• Value Functions on Simple Algebras, and Associated Graded Rings
• Group gradings on associative algebras

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