1. Let I be an ideal of a ring R,I is said to satify unit 1-stable rank provided that ax+b=1 with a,x∈I,b∈R implies that a+bu∈U(R) for a u∈U(R). 假定I是环R的理想,称I满足单位1-稳定秩,如果ax+b=1,a,x∈I,b∈R可推出有u∈U(R)使得a+bu∈U(R)。
When a unital C*-algebra A has topological stable rank one (write tsr(A) = 1), we know that tsr(pAp) = 1 for a non-zero projection p epsilon A. When, however, tsr(A) >= 2, it is generally false. We prove that if a unital C*-algebra A has a simple unital C*-subalgebra...
R. Rupp and A. Sasane, "On the stable rank and reducibility in algebras of real symmetric functions," Mathematische Nachrichten, vol. 283, no. 8, pp. 1194-1206, 2010.R. Rupp and A. Sasane, On the Stable Rank and Reducibility in Algebras of Real Symmetric Functions, Math. Nachr. (...
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Stable rank of $H\\sp \\infty$ in multiply connected domains The stable rank of the algebra H ∞ (G) of bounded analytic functions in every finitely connected open Riemann surface is equal to one. The same is true for some infinitely connected plain domains (Behrens domains). The proof ...
Topological stable rank of nest algebras. Kenneth R. Davidson,You Qing Ji. Proc.Lond. Math. Soc . 2009K.R. Davidson, Y.Q. Ji: Topological stable rank of nest algebras, to appear in Proc. London Math. Soc., preprint 2008Davidson, K.R., Ji, Y.Q.: Topological stable rank of nest ...
4) tracial stable rank 迹稳定秩一 1. In this paper,we prove that a simple unital C~*-algebra with tracial stable rank one has cancellation property,with this result we show that a simple unital C~*-algebra with tracial stable rank one is stable rank one. 本文证明了一个单的有单位...
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The Regular Group $C^\\ast$-Algebra for Real-Rank One Groups A cubic surface in $P^3$ is known to contain 27 lines, out of which one canform 36 Schlafli double - sixes i.e., collections $l_1,...,l_6, l'_1,...,l'_6\\\... R Boyer,R Martin - 《Proceedings of the ...