Geodesic
Smooth invariants and $\omega$-graded modules over $k[X]$
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 3, pp. 445-448 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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It is shown that every $\omega$-graded module over $k[X]$ is a direct sum of cyclics. The invariants for such modules are exactly the smooth invariants of valuated abelian $p$-groups.
It is shown that every $\omega$-graded module over $k[X]$ is a direct sum of cyclics. The invariants for such modules are exactly the smooth invariants of valuated abelian $p$-groups.
Classification : 13F20, 16G20, 16W50, 20K10
Keywords: filtered modules; valuated groups; representations of quivers 
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     author = {Richman, Fred},
     title = {Smooth invariants and $\omega$-graded modules over $k[X]$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {445--448},
     year = {2000},
     volume = {41},
     number = {3},
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     zbl = {1038.16013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_3_a1/}
}
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Richman, Fred. Smooth invariants and $\omega$-graded modules over $k[X]$. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 3, pp. 445-448. http://geodesic.mathdoc.fr/item/CMUC_2000_41_3_a1/