1)  Tracial stable rank one
					
	
					
				
				
	
					
				迹稳定秩1
			
					3)  Stable range one
					
	
					
				
				
	
					
				稳定秩1
				1.
					It s proved that R satisfies unit 〈I〉-stable range if and only if R satisfies unit [I]-stable range,if and only if R satisfies unit(I)-stable range and I has stable range one.
						
						证明R满足单位〈I〉-稳定秩当且仅当R满足单位[I]-稳定秩,当且仅当R满足单位(I)-稳定秩且I有稳定秩1,并将结论应用到正则理想以及矩阵环等相关情形,获得R满足单位〈I〉-稳定秩的一系列等价条件。
					
					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元的迹稳定秩一的C~*-代数具有消去律,利用此结果证明了单的有单位元的迹稳定秩一的C~*-代数是稳定秩一的。
					
					5)  ring with stable range 1
					
	
					
				
				
	
					
				稳定秩1环
				1.
					This dissertation is focused on the K2 of a ring with stable range 1.
					
					
						
						
					
						本文主要讨论稳定秩1环的K2群。
					
					6)  unit 1-stable rank
					
	
					
				
				
	
					
				单位1-稳定秩
				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)。
					补充资料:誾誾秩秩
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