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Lectures on topics in algebraic \(K\)-theory - MaRDI portal

Lectures on topics in algebraic \(K\)-theory

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Publication:2548993

zbMath0226.13006MaRDI QIDQ2548993

Hyman Bass

Publication date: 1967

Published in: Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research (Search for Journal in Brave)




Related Items (80)

Structure of blocks with normal defect and abelian inertial quotientTHE BOREL CHARACTERMixed Witt rings of algebras with involutionEmbeddings of quadratic spacesDifferential Brauer monoidsPfaffian and discriminantTilting and cluster tilting for quotient singularitiesUnnamed ItemOne dimensional Witt’s theorem over modular latticesIntertwiners and the K-theory of commutative ringsGeneralized crossed products and Azumaya algebrasDuality theorems for rings with actions or coactionsON THE GROUP OF SEPARABLE QUADRATIC ALGEBRAS AND STACKSLinear groups over general rings. I: Generalities.Unnamed ItemUnnamed ItemFlat modules and rings finitely generated as modules over their centerSur les deux premiers invariants d'une forme quadratiqueThe Brauer group of central separable G-Azumaya algebrasCommutative rings and modules that are Nil*-coherent or special Nil*-coherentKV-Theory of CategoriesUnnamed ItemStructure and cancellation theorems for graded Azumaya algebrasDifferential central simple algebras and Picard–Vessiot representationsVollgraduierte AlgebrenNicht assoziative separable Algebren über RingenGraded Morita equivalence of Clifford superalgebrasAlgèbres de Clifford et groupe de BrauerVertices and polarizations for homogeneous polynomialsOn the Teichmüller cocycle mapExact sequences for the galois groupAzumaya, semisimple and ideal algebras-Compatible torsion theories. The sheavesPic(Σ) andB(Σ)The Picard group of noncommutative rings, in particular of ordersBrauer spaces for commutative rings and structured ring spectraProjective bundle formula for Heller's relative \(K_0\)The Hasse Invariant of a Vector BundleOn the vanishing of relative negative K-theoryRelative Brauer groups and étale cohomologyOn strong stabilization of asymptotically time-invariant linear time-varying systemsUnnamed ItemThe Separable Closure of Some Commutative RingsComputing the Brauer-Long group of a Hopf algebra. II: The Skolem-Noether theoryA Mayer-Vietoris sequence for the Brauer groupOn the Brauer group and factoriality of normal domainsCrossed products and blocks with normal defect groupsThe Brauer Group of Graded Azumaya AlgebrasUnnamed ItemA characterization of Azumaya algebrasOn projective modules over a central quotient ringLinearizing of n-ic forms and generalized Clifford algebrasAzumaya algebras with involutionEquivalent conditions for cancellation of graded azumaya algebrasKummer extensions of ringsSeparable Jordan algebras over commutative rings. IMayer-Vietoris Sequences and Brauer Groups of Nonnormal DomainsThe Brauer Group of a Closed CategoryCancellation of quadrate forms over commutative ringsIsometrien über semilokalen RingenDifferential projective modules over differential ringsPolynomial identities and Azumaya algebrasRound forms over semilocal ringsOn groups with isomorphic holomorphsEine Bemerkung über quadratische Formen über einem lokalen Ring der Charakteristik 2. (A remark on quadratics forms over a local ring of characteristic 2.)A note on the automorphisms of maximal ordersSteinberg orthogonal group over a ring with involutionThe group of quadratic extensionsOn normal Azumaya algebras and the Teichmüller cocycle mapT-ideals and superAzumaya algebrasFundamental groups, algebraic K-theory, and a problem of AbhyankarForms over rings with involutionStiefel-Whitney invariants of quadratic forms over local ringsEine Zerlegung der unitären Gruppe über lokalen RingenUnnamed ItemThe exact sequence for a monoidal functor between closed categories\(K_1\) by generators and relationsClifford \(k\)-algebras and \(k^*\)-groupsThe Brauer group of dimodule algebrasVector bundles and K-theory over topological algebrasA Künneth formula for the cyclic cohomology of \(\mathbb Z/2\)-graded algebras




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