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Generic Extensions of Prinjective Modules

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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.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100, Toruń, Poland

    Justyna Kosakowska

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  1. Justyna Kosakowska
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Correspondence to Justyna Kosakowska.

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Partially supported by Polish KBN Grant 5 P0 3A 015 21.

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Kosakowska, J. Generic Extensions of Prinjective Modules. Algebr Represent Theor 9, 557–568 (2006). https://doi.org/10.1007/s10468-006-9033-2

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