Author/Authors :
R. Mazurek، نويسنده , , M. Ziembowski، نويسنده ,
Abstract :
In this paper we give sufficient and necessary conditions on a strongly regular ring of coefficients R and a monoid of nonnegative exponents S such that the generalized power series ring R S is right Bezout. It is shown that all such generalized power series rings are right distributive. We also study when a generalized power series ring over a von Neumann regular ring has weak dimension less than or equal to one.
Keywords :
Right semihereditary ring , Right chain ring , Right chain monoid , Generalized power series ring , Right Bezout ring , Right distributive ring , Weak dimension , Von Neumann regular ring , Orthogonally finite ring , Strongly regular ring
