关于Radicaltotal环上的投射模

On Projectives over Radical Total Rings

文中给出了Radicaltotal环上投射模的分解定理。对一个uniform维数有限的Totalfree环R,该文证明R是一个总体维数≤1的诺特环,且R上的任何投射模必同构于■Re_i,其中每个e_i均为R的非零幂等元．此外,文中还给出了一些相关的例子。

The decomposition theorems on projective modules over radical total rings are built in this paper. For a total free ring R with u.dimRR 〈 ∞, it is showed that R is Noetherian with gldimR ≤ 1, and any projective module P over R is isomorphic to （○×）i∈I Rei, in which each ei is a nonzero idempotent in R. Some examples are also given.