Polynomial rings over Goldie rings are often Goldie
Authors: Victor Camillo and Robert Guralnick
Journal: Proc. Amer. Math. Soc. 98 (1986), 567-568
MSC: Primary 16A34; Secondary 16A33
MathSciNet review: 861751
Abstract: Here, we prove a result that has as a consequence the fact that if the ring is an algebra over an uncountable field the a.c.c. on annihilators is preserved under polynomial extensions by any number of variables.