| Title:
|
Smooth invariants and $\omega$-graded modules over $k[X]$ (English) |
| Author:
|
Richman, Fred |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
445-448 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
filtered modules |
| Keyword:
|
valuated groups |
| Keyword:
|
representations of quivers |
| MSC:
|
13F20 |
| MSC:
|
16G20 |
| MSC:
|
16W50 |
| MSC:
|
20K10 |
| idZBL:
|
Zbl 1038.16013 |
| idMR:
|
MR1795075 |
| . |
| Date available:
|
2009-01-08T19:03:31Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119179 |
| . |
| Reference:
|
[1] Beers D., Hunter R., Walker E.A.: Finite valuated $p$-groups.Abelian Group Theory (Honolulu 1983), pp.471-507, Lecture Notes in Mathematics 1006, Springer-Verlag. Zbl 0518.20045, MR 0722640 |
| Reference:
|
[2] Hunter R., Richman F., Walker E.A.: Existence theorems for Warfield groups.Trans. Amer. Math. Soc. 235 (1978), 345-362. Zbl 0368.20034, MR 0473044 |
| Reference:
|
[3] Hunter R., Richman F., Walker E.A.: Subgroups of bounded abelian groups.Abelian Groups and Modules (Udine 1984), pp.17-35, CISM Courses and Lectures 287, Springer-Verlag. Zbl 0568.20051, MR 0789807 |
| Reference:
|
[4] Richman F., Walker E.A.: Valuated groups.J. Algebra 56 (1979), 145-167. Zbl 0401.20049, MR 0527162 |
| . |
