EMBEDDING WEAK 2-COCYCLE CROSSED PRODUCTS INTO MATRIX RINGS

DOI10.1081/AGB-100002159zbMath0999.16022OpenAlexW2039589908MaRDI QIDQ2755360

George F. Seelinger

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100002159

zbMATH Keywords

crossed productscentral simple algebrasmatrix ringsinvariant ringscoordinate ringstrace ringsgeneric matricesweak cocyclesWedderburn splittings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

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• The Brauer monoid of a field
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• Invariants of several matrices
• The invariant theory of \(n\times n\) matrices
• Normalized Brauer factor sets
• On Azumaya algebras and finite dimensional representations of rings
• On central division algebras
• A New Invariant for C Over R: Almost Invertible Cohomology Theory and the Classification of Idempotent Cohomology Classes and Algebras by Partially Ordered Sets with a Galois Group Action

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