| Title:
|
Generalized $n$-coherence (English) |
| Author:
|
Jirásko, J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
1-7 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper necessary and sufficient conditions for large subdirect products of $n$-flat modules from the category $Gen(Q)$ to be $n$-flat are given. (English) |
| Keyword:
|
relative finiteness conditions |
| Keyword:
|
relative coherence |
| Keyword:
|
large subdirect products of $n$-flat modules |
| MSC:
|
16D40 |
| MSC:
|
16P70 |
| idZBL:
|
Zbl 1041.16001 |
| idMR:
|
MR1756922 |
| . |
| Date available:
|
2009-01-08T18:57:55Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119136 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Jianlong Chen, Nanqing Ding: On $n$-coherent rings.Comm. Algebra 24 (10) (1996), 3211-3216. MR 1402554 |
| Reference:
|
[4] Colby R.R., Rutter E.A., Jr.: $\prod$-flat and $\prod$-projective modules.Arch. Math. 22 (1971), 246-251. MR 0292881 |
| Reference:
|
[5] Jirásko J.: Large subdirect products of relative flat modules.Conf. Abelian Groups and Modules, Padova, 1994. |
| Reference:
|
[6] Jirásková H.: Generalized flatness and coherence.Comment. Math. Univ. Carolinae 21 (1980), 293-308. MR 0580684 |
| Reference:
|
[7] Jones M.F.: Coherence relative to a hereditary torsion theory.Comm. Algebra 10 (1982), 719-739. MR 0650869 |
| Reference:
|
[8] Lenzig H.: Endlich präsentierbare Moduln.Arch. Math. 20 (1969), 262-266. MR 0244322 |
| Reference:
|
[9] Loustaunau P.: $\Cal F$-products of injective, flat and projective modules.Comm. Algebra 18 (1990), 3671-3683. Zbl 0727.16002, MR 1068613 |
| Reference:
|
[10] Loustaunau P.: Large subdirect products of projective modules.Comm. Algebra 17 (1989), 197-215. Zbl 0664.16019, MR 0970872 |
| Reference:
|
[11] Oyonarte L., Torrecillas B.: Large subdirect products of flat modules.Comm. Algebra 24 (4) (1996), 1389-1407. Zbl 0845.16003, MR 1380601 |
| Reference:
|
[12] Oyonarte L., Torrecillas B.: Large subdirect products of graded modules.Comm. Algebra 27 (2) (1999), 681-701. Zbl 0923.16035, MR 1671963 |
| . |
