Generic Extensions of Prinjective Modules

by Kosakowska, Justyna

Let $K$ be an algebraically closed field and let $I$ be a finite partially ordered set of finite prinjective type. We study generic extensions of prinjective modules over the incidence $K$-algebra $KI$ of $I$. We prove that there exist generic extensions of prinjective $KI$-modules and describe properties of the monoid ${\user1{\mathcal{M}}}{\left( I \right)}$ of generic extensions.

DOI: 10.1007/s10468-006-9033-2
Online Date: 7/28/2006
Print publication date: 12/1/2006
View article on SpringerLink

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