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Λ-稳定秩下酉K_1-群的满性 被引量:1

The Subjectivity of Unitary K_1-Groups under Λ-Stable Range Condition
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摘要 利用Λ-稳定秩条件,证明了当模M的Witt指数n大于等于ΛS(R)+1时,映射U2n(R,Λ)/EU2n(R,Λ)→U(M,q)/EU(M,q)是满射。 By using ∧ - stable range condition, it is proved that when the Witt index of module M is no less than ∧S(R) + 1 , the map U2n(R,∧)/EU2n(R,∧)→U(M,q)/EU(M,q)is subjective.
出处 《洛阳师范学院学报》 2008年第2期25-26,34,共3页 Journal of Luoyang Normal University
关键词 酉群 ∧-稳定秩 Eichler变换 unitary group ∧- stable range condition Eichler transvection
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参考文献5

  • 1Hahn A J et al. The Classical Groups and K - Theory [ M ]. Grundlehren der Mathematischen Wissenschaften 291, Springer, 1989.
  • 2MAGURN B A. An algebraic introduction to K - Theory [ M]. Cambridge University Press, 2002.
  • 3BAK A et al. Stability for HermitianK1 [ J ]. Pure Appl. Algebra, 2000, (2) :109 - 121.
  • 4唐国平.Λ-稳定秩下的酉K_1-群[J].数学年刊(A辑),2004,25(2):171-178. 被引量:11
  • 5BAK A et al. Stability for QuadratieK1 [ J ]. K - Theory, 2003, 30: 1-11.

二级参考文献7

  • 1Bak,A.& Tang,G.P.,Stability for Hermitian K1 [J],J.Pure Appl.Algebra,150:2(2000),109-121.
  • 2Knus,M.A.,Quadratic and Hermitian Forms over Rings [M],Grundlehren der Mathematischen Wissenschaften 294,Springer,1991.
  • 3Hahn,A.J.& O'Meara,O.T.,The Classical Groups and K-Theory [M],Grundlehrender Mathematischen Wissenschaften 291,Springer,1989.
  • 4Magurn,B.A.,van der Kallen,W.& Vaserstein,L.N.,Absolute stable rank and Wittcancellation for noncommutative rings [J],Invent.Math.,91:3(1988),525-542.
  • 5Vaserstein,L.N.,Stabilization of unitary and orthogonal groups over a ring with involution [J],(Russian) Mat.Sb.(N.S.),81:123(1970),328-351.
  • 6Mustafa-Zade,N.M.,On epimorphic stability of a unitary K2-functor [J],UspekhiMat.Nauk,35(1980),165-166 [English translation:Russian Math.Surveys,35(1980),99 100].
  • 7Kolster,M.,Surjective stability for unitary K-groups [R],Preprint,1975.

共引文献10

同被引文献5

  • 1Hahn A J,O' Meara O T.The Classical Groups and K-Theory[M].Grundlehren der Mathematischen Wissenschaften 291,Springer,1989.
  • 2BAK A,PETROV V,TANG G P.Stability for QuadraticK1[J].K-Theory,2003.30:1 -11.
  • 3BAK A,TANG G P.Stability for HennitianK1[J].Pure Appl.Algebra,2000,(2):109 -121.
  • 4吴校良,于伟波.∧-稳1定秩条件下EU(M,I,Γ)的正规性[J].西南民族大学学报(自然科学版),2007,33(6):1220-1223. 被引量:1
  • 5唐国平.Λ-稳定秩下的酉K_1-群[J].数学年刊(A辑),2004,25(2):171-178. 被引量:11

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