一类多项式扩张的K0群
The K0 of a Coherent Polynomial Extension
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摘要: 证明了正则稳定凝聚环上的多项式环是正则的, 并得到对于任何的正则稳定凝聚环R, 皆有K0Rt1,…,tn同构于 K0R成立Abstract: It is proved that the polynomial ring Rtover a regular stably coherent ring Ris also regular, and obtained that K0 Rt1,…,tnis isomorphic to K0 Rfor any regular stably coherent ring R.