R. Dedekind, Gesammelte mathematische Werke

Mathematische Methoden für Physiker

ϕ-ALMOST DEDEKIND RINGS AND $\Phi$-ALMOST DEDEKIND MODULES

The purpose of this paper is to introduce some new classes of rings and modules that are closely related to the classes of almost Dedekind domains and almost Dedekind modules. We introduce the concepts of $\phi$-almost Dedekind rings and $\Phi$-almost Dedekind modules and study some properties of this classes. In this paper we get some equivalent conditions for $\phi$-almost Dedekind rings and ...

Einführung in die Mathematische Epidemiologie

Schistosomiasis (bilharzia) is a severe tropical disease. It is endemic in most regions where it occurs, that is in parts of Asia, Africa and South America. Estimates of how many people are infected vary from 200 to 400 million (1997). It was described by the ancient Egyptians 3,000 years ago (they mentioned blood in the urine as a symptom) and Napoleon’s troops suffered terribly from this dise...

Elliptic Dedekind Domains Revisited

We give an affirmative answer to a 1976 question of M. Rosen: every abelian group is isomorphic to the class group of an elliptic Dedekind domain R. We can choose R to be the integral closure of a PID in a separable quadratic field extension. In particular, this yields new and – we feel – simpler proofs of theorems of L. Claborn and C.R. Leedham-Green. Luther Claborn received his PhD from U. Mi...

Mathematische Zeitschrift Extrinsic Killing spinors

Under intrinsic and extrinsic curvature assumptions on a Riemannian spin manifold and its boundary, we show that there is an isomorphism between the restriction to the boundary of parallel spinors and extrinsic Killing spinors of nonnegative Killing constant. As a corollary, we prove that a complete Ricci-flat spin manifold with mean-convex boundary isometric to a round sphere, is necessarily a...