Connecting homomorphisms associated to Tate sequences

Connecting homomorphisms associated to Tate sequences

Tate sequences are an important tool for tackling problems related to the (ill-understood) Galois structure of groups of S-units. The relatively recent Tate sequence “for small S” of Ritter and Weiss allows one to use the sequence without assuming the vanishing of the S-class-group, a significant advance in the theory. Associated to Ritter and Weiss’s version of the sequence are connecting homo...

MODULE HOMOMORPHISMS ASSOCIATED WITH HYPERGROUP ALGEBRAS

Let X be a hypergroup. In this paper, we study the homomorphisms on certain subspaces of L(X)* which are weak*-weak* continuous.

Congruence Relations Connecting Tate-Shafarevich Groups with Hurwitz Numbers

Approximate C-ternary Ring Homomorphisms Associated to the Trif Equation

In this paper, we establish the generalized Hyers–Ulam–Rassias stability of C-ternary ring homomorphisms associted to the Trif functional equation d · C d−2f( x1 + · · ·+ xd d ) + C d−2 d ∑

De Bruijn Graph Homomorphisms and Recursive De Bruijn Sequences

This paper presents a method to find new de Bruijn cycles based on ones of lesser order. This is done by mapping a de Bruijn cycle to several vertex disjoint cycles in a de Bruijn digraph of higher order and connecting these cycles into one full cycle. We characterize homomorphisms between de Bruijn digraphs of different orders that allow this construction. These maps generalize the well-known ...