Noncommutative symmetric algebras of two-sided vector spaces

DOI10.1006/jabr.2000.8445zbMath1004.16022OpenAlexW2034605121MaRDI QIDQ5925791

Patrick, David

Publication date: 10 November 2002

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

Full work available at URL: https://semanticscholar.org/paper/a082cff9295a506174e118143b92ed86909334b4

zbMATH Keywords

bimodulesfunction fieldsnoncommutative ruled surfacesnoncommutative symmetric algebrasskew fields of frractionstensor algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rational and ruled surfaces (14J26) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Rings arising from noncommutative algebraic geometry (16S38) Endomorphism rings; matrix rings (16S50) Associative rings of functions, subdirect products, sheaves of rings (16S60)

Related Items (9)

Species and non-commutative \(\mathbb{P}^1\)'s over non-algebraic bimodules ⋮ Duals of Simple Two-Sided Vector Spaces ⋮ Two-sided vector spaces ⋮ Noncommutative curves and noncommutative surfaces ⋮ The geometry of arithmetic noncommutative projective lines ⋮ A Representation Theoretic Study of Non-Commutative Symmetric Algebras ⋮ Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes ⋮ An abstract characterization of noncommutative projective lines ⋮ Blowing up quantum weighted projective planes.

Cites Work

• Twisted homogeneous coordinate rings
• A translation principle for the four-dimensional Sklyanin algebras
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