Abstract
Let Rbe an associative ring not necessarily possessing an identity and (S, ≤) a strictly totally ordered monoid which is also artinian. Assume that Mis a left R-module having property (F). We will show that there exists an isomorphism of rings .Therefore many properties of the endomorphism ring of left R[[S, ≤]]-module M
S, ≤]] may be induced from the properties of the endomorphism ring of left R-module M.
∗Research supported by National Natural Science Foundation of China, 19671063.
∗Research supported by National Natural Science Foundation of China, 19671063.
Notes
∗Research supported by National Natural Science Foundation of China, 19671063.