Smooth invariants and $\omega$-graded modules over $k[X]$
Richman, Fred
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000), p. 445-448 / Harvested from 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.

Publié le : 2000-01-01
Classification:  13F20,  16G20,  16W50,  20K10 
@article{119179,
     author = {Fred Richman},
     title = {Smooth invariants and $\omega$-graded modules over $k[X]$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {41},
     year = {2000},
     pages = {445-448},
     zbl = {1038.16013},
     mrnumber = {1795075},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119179}
}

Richman, Fred. Smooth invariants and $\omega$-graded modules over $k[X]$. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 445-448. http://gdmltest.u-ga.fr/item/119179/

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