Stable range condition

In mathematics, particular in abstract algebra, the stable range of a ring R is the smallest integer n such that if elements v₀, ... , v_n in R generate the unit ideal (they form a unimodular row), then for some t₁, ... , t_n in R the elements v_i - v₀t_i, for 1 < i < n also generate the unit ideal.

单词	Stable range
释义	Stable range 英语百科 Stable range condition In mathematics, particular in abstract algebra, the stable range of a ring R is the smallest integer n such that if elements v₀, ... , v_n in R generate the unit ideal (they form a unimodular row), then for some t₁, ... , t_n in R the elements v_i - v₀t_i, for 1 < i < n also generate the unit ideal.
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