<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We explore the combinatorial properties of a particular type of extension monoid product of preinjective Kronecker modules. The considered extension monoid product plays an important role in matrix completion problems. We state theorems which characterize this product in both implicit and explicit ways and we prove that the conditions given in the definition of the generalized majorization are equivalent with our criteria. Generalized majorization is a purely combinatorial construction introduced by its authors in a different setting.</p></abstract>

We explore the combinatorial properties of a particular type of extension monoid product of preinjective Kronecker modules. The considered extension monoid product plays an important role in matrix completion problems. We state theorems which characterize this product in both implicit and explicit ways and we prove that the conditions given in the definition of the generalized majorization are equivalent with our criteria. Generalized majorization is a purely combinatorial construction introduced by its authors in a different setting.

On the combinatorics of extensions of preinjective Kronecker modules

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the combinatorics of extensions of preinjective Kronecker modules"}

We explore the combinatorial properties of a particular type of extension monoid product of preinjective Kronecker modules. The considered extension monoid...

On the combinatorics of extensions of preinjective Kronecker modules

Published Online: Nov 05, 2014

Page range: 92 - 106

Received: Apr 09, 2014

DOI: https://doi.org/10.2478/ausm-2014-0020

© 2014

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.