群：二元结合运算为闭合的数学集合，具有单位元素。集合中每一元素都有逆元素。

Mathematics a set with an associative binary operation under which the set is closed, which contains an identity element and an inverse for every element in the set.

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本文讨论了有局部单位元的环的0K群，特别地，推广了关于0K群的一些经典结论。

We discuss 0K for the rings having local identities, in particular, we extend some classical results on 0K of a ring.

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本文讨论了有局部单位元的环的K0群，特别地，推广了关于K0群的一些经典结论。

We discuss K0 for the rings having local identities, in particular, we extend some classical results on K0 of a ring.

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