36 citations · 78 across the 16 of their papers we have counts for
4 papers · 1 filter
Towards Collaborative Conceptual Exploration
Tom Hanika, Jens Zumbrägel
In domains with high knowledge distribution a natural objective is to create principle foundations for collaborative interactive learning environments. We present a first mathemati…
The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
Oliver W. Gnilke, Marcus Greferath, Thomas Honold +2
We give a sufficient condition for a bi-invariant weight on a Frobenius bimodule to satisfy the extension property. This condition applies to bi-invariant weights on a finite Frobe…
On congruence-semisimple semirings and the -group characterization of ultramatricial algebras over semifields
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, we provide a complete description of congruence-semisimple semirings and introduce the pre-ordered abelian Grothendieck groups and of the isomorph…
MacWilliams' extension theorem for infinite rings
Friedrich Martin Schneider, Jens Zumbrägel
Finite Frobenius rings have been characterized as precisely those finite rings satisfying the MacWilliams extension property, by work of Wood. In the present note we offer a genera…