It is known that the powers m(n) of the maximal ideal of a local Noetherian ring share certain homological properties for all sufficiently large integers n. For example, the natural homomorphisms R --> R/m(n) are Golod, respectively, small, for all large n. We give effective bounds on the smallest integers n for which such properties begin to hold. (C) 2001 Academic Press. [References: 34]
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机译：已知对于所有足够大的整数n，局部Noether环的最大理想的幂m（n）具有某些同源性。例如，对于所有大n，自然同态R-> R / m（n）分别为小Golod。我们对此类属性开始成立的最小整数n给出有效界限。 （C）2001学术出版社。 [参考：34]
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