Smooth invariants and $\omega$-graded modules over $k\left[X\right]$

Richman, Fred. "Smooth invariants and $\omega $-graded modules over $k[X]$." Commentationes Mathematicae Universitatis Carolinae 41.3 (2000): 445-448. <http://eudml.org/doc/248623>.

@article{Richman2000,
abstract = {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.},
author = {Richman, Fred},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {filtered modules; valuated groups; representations of quivers; filtered modules; valuated Abelian -groups; representations of quivers; smooth invariants; graded modules},
language = {eng},
number = {3},
pages = {445-448},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Smooth invariants and $\omega $-graded modules over $k[X]$},
url = {http://eudml.org/doc/248623},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Richman, Fred
TI - Smooth invariants and $\omega $-graded modules over $k[X]$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 3
SP - 445
EP - 448
AB - 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.
LA - eng
KW - filtered modules; valuated groups; representations of quivers; filtered modules; valuated Abelian -groups; representations of quivers; smooth invariants; graded modules
UR - http://eudml.org/doc/248623
ER -