Author Affiliation, Ana.
Department of Mathematics and Computer Science
The prime element theorem on additive formations
Date of Publication
F. Halter-Koch and R. Warlimont classify, in a recent paper, additive formations based on additive arithmetical semigroups into type(I) and type(II). A type(I) additive formation has a prime element theorem in classical sense. We give, in this paper two number-theoretic conditions each of which guarantees a type(I) additive formation. These conditions are sharp in the general case. (AU)....