Geodesic
Action type geometrical equivalence of representations of groups
Algebra and discrete mathematics, no. 4 (2005), pp. 48-79

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In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over $KF_{2}$where $F_{2}$ is a free group with $2$generators (compare with [Ca] where a continuum of non isomorphic simple $2$-generated groups is constructed). Using this fact we give an example of a non action type logically Noetherian representation (Section 9). 
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     author = {B. Plotkin and A. Tsurkov},
     title = {Action type geometrical equivalence of representations of groups},
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     number = {4},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2005_4_a4/}
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B. Plotkin; A. Tsurkov. Action type geometrical equivalence of representations of groups. Algebra and discrete mathematics, no. 4 (2005), pp. 48-79. http://geodesic.mathdoc.fr/item/ADM_2005_4_a4/