Biring Theory and Its Galois Theory of Rings

DOI10.1080/00927872.2013.786944zbMath1303.16035OpenAlexW2077141293MaRDI QIDQ5417989

David J. Winter

Publication date: 23 May 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.786944

zbMATH Keywords

bimodulesGalois theoryalgebrascoringsGalois descentalgopscentral Galois biringsGalois bialgebroidsGalois biringsreduced simple birings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Bimodules in associative algebras (16D20) General module theory in associative algebras (16D10) Bialgebras (16T10) Galois theory and commutative ring extensions (13B05)

Cites Work

• Depth generated simple Lie algebras
• The endomorphism ring theorem for Galois and depth two extensions.
• Groups of algebras over \(A\otimes \bar A\)
• Bialgebroids, \(\times_A\)-bialgebras and duality
• A Galois theory of commutative rings
• Primordials and primordial Lie algebras
• Finite depth and Jacobson-Bourbaki correspondence.
• Simple Nil Lie Algops
• Central Simple Nonassociative Algebras with Operators
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• Lie Algops and Simple Lie Algebras
• Quantum groupoids

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