Kronecker Function Rings of Semistar-operations on Rings

摘要

For a Marot ring A with property (A) equipped with a semistar- operation * on A and a grading monoid S, we define the Kronecker function ring A_* of a with respect to * and S. We show that all results on the Kronecker Function ring of A with respect to a star-operation and a grading monoid hold For the Kronecker function ring of A with respect to a semistar-operation and a Grading monoid.