Geodesic
On fully wild categories of representations of posets
Algebra and discrete mathematics, no. 3 (2006), pp. 71-91

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Assume that $I$ is a finite partially ordered set and $k$ is a field. We prove that if the category prin$(kI)$ of prinjective modules over the incidence $k$-algebra $kI$ of $I$ is fully $k$-wild then the category $fpr(I,k)$ of finite dimensional $k$-representations of $I$ is also fully $k$-wild. A key argument is a construction of fully faithful exact endofunctors of the category of finite dimensional $k\langle x,y\rangle$-modules, with the image contained in certain subcategories.
Keywords: representations of posets, wild, fully wild representation type, endofunctors of wild module category. 
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     author = {Stanis{\l}aw Kasjan},
     title = {On fully wild categories of representations of posets},
     journal = {Algebra and discrete mathematics},
     pages = {71--91},
     publisher = {mathdoc},
     number = {3},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2006_3_a6/}
}
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Stanisław Kasjan. On fully wild categories of representations of posets. Algebra and discrete mathematics, no. 3 (2006), pp. 71-91. http://geodesic.mathdoc.fr/item/ADM_2006_3_a6/