Serre's quantum problem

DOI10.1070/rm1998v053n04ABEH000056zbMath0931.16002OpenAlexW2074360474MaRDI QIDQ4247910

Vyacheslav A. Artamonov

Publication date: 4 July 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1998v053n04abeh000056

zbMATH Keywords

projective modulesfree modulesGrothendieck groupsquantum polynomial algebrascancellation theorems

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Grothendieck groups (category-theoretic aspects) (18F30) Stability for projective modules (19A13) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (15)

Bergman’s centralizer theorem and quantization ⋮ Lifting of polynomial symplectomorphisms and deformation quantization ⋮ Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core ⋮ The Jordan plane over a field of positive characteristic. ⋮ MODULES OVER QUANTUM LAURENT POLYNOMIALS ⋮ Some open problems in the context of skew \textit{PBW} extensions and semi-graded rings ⋮ ORE AND GOLDIE THEOREMS FOR SKEW PBW EXTENSIONS ⋮ Cancellation and stability properties of generalized torsion modules ⋮ Some Homological Properties of SkewPBWExtensions ⋮ Extended modules and Ore extensions ⋮ Irreducible modules over a Jordan plane over a field of characteristic zero. ⋮ On Serre's Problem for RIT Algebras ⋮ Jordanian plane. ⋮ Canonical forms of skew polynomial rings. ⋮ Constructions in \(R[x_1,\dots ,x_n\): applications to K-theory]

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