Absolute stable rank and quadratic forms over noncommutative rings

DOI10.1007/BF00533152zbMath0719.16016MaRDI QIDQ2639940

J. Toby Stafford

Publication date: 1990

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

ascending chain conditiondeviationmaximal right idealsabsolute stable rankquadratic spacesright Noetherian ringWitt cancellation theoremaffine PI ringJacobson right idealsright Goldiestrongly right J-Noetherian ring

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20) Noetherian rings and modules (associative rings and algebras) (16P40) Identities other than those of matrices over commutative rings (16R40)

Related Items (8)

Linear groups over general rings. I: Generalities. ⋮ A stability range for topological 4-manifolds ⋮ Stable rank of down-up algebras ⋮ Odd unitary groups. ⋮ Stably diffeomorphic manifolds and l 2q+1(ℤ[π)] ⋮ Kmax and Stable Rank of Enveloping Algebras ⋮ Two remarks on Wall's D2 problem ⋮ Parabolic factorizations of split classical groups

Cites Work

• Absolute stable rank and Witt cancellation for noncommutative rings
• Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings
• Cancellation of modules and groups and stable range of endomorphism rings
• On the classification of Hermitian forms. II: Semisimple rings
• K-Theory of Forms. (AM-98)
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