一类多项式扩张的K0群

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K0R[t1 ,… ,tn]同构于K0R成立．%It is proved that the polynomial ring R[t] over a regular stably coherent ring R is also regular, and obtained that K0R[t1 ,… ,tn] is isomorphic to K0R for any regular stably coherent ring R.