| Title:
|
Tertiary decomposition in Grothendieck categories (English) |
| Author:
|
Verschoren, Alain H. M. J. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
661-672 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
18E15 |
| idZBL:
|
Zbl 0461.18006 |
| idMR:
|
MR592330 |
| DOI:
|
10.21136/CMJ.1980.101715 |
| . |
| Date available:
|
2008-06-09T14:42:00Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101715 |
| . |
| Reference:
|
[1] Albu T., Nastasescu C: Décompositions primaires dans les catégories de Grothendieck commutatives. I.Z. für Reine und Angew. Math., 280 (1976), 172-194. Zbl 0328.13005, MR 0401871 |
| Reference:
|
[2] Bourbaki N.: Elements of Mathematics: Commutative Algebra.(1972), Hermann. Zbl 0279.13001, MR 0360549 |
| Reference:
|
[3] Gabriel P.: Des catégories abeliennes.Bull. Soc. Math. France 90 (1962), 323 - 448. Zbl 0201.35602, MR 0232821, 10.24033/bsmf.1583 |
| Reference:
|
[4] Gabirel P., Popescu N.: Caractérisation des catégories abeliennes avec générateurs et limites inductives exactes.C. R. Acad. Sci. Paris 258 (1964), 4188-4190. MR 0166241 |
| Reference:
|
[5] Golan J.: Localization of noncommutative rings.Pure and Appl. Math. (1975), Marcel Dekker. Zbl 0302.16002, MR 0366961 |
| Reference:
|
[6] Goldman O.: Rings and modules of quotients.J. of Algebra 13 (1969), 10-47. Zbl 0201.04002, MR 0245608, 10.1016/0021-8693(69)90004-0 |
| Reference:
|
[7] Grothendieck A.: Sur quelques points d'algèbre homologique.Tohoku Math. J. 9, (1957), 119-221. Zbl 0118.26104, MR 0102537 |
| Reference:
|
[8] Krause G.: On fully left bounded left Noetherian rings.J. of Algebra 23 (1972), 88-99. Zbl 0249.16013, MR 0308188, 10.1016/0021-8693(72)90047-6 |
| Reference:
|
[9] Mathis E.: Injective modules over Noetherian rings.Pacific J. of Math. 8 (1958), 511 - 528. MR 0099360, 10.2140/pjm.1958.8.511 |
| Reference:
|
[10] Michler G.: Goldman's primary decomposition and the tertiary decomposition.J. of Algebra 18 (1970), 129-137. Zbl 0214.05503, MR 0268218, 10.1016/0021-8693(70)90045-1 |
| Reference:
|
[11] Stenström В.: Rings of quotients.Grundlehren der Math. Wiss., 217 (1975), Springer Verlag. MR 0389953 |
| Reference:
|
[12] Van Oystaeyen F.: Prime spectra in non-commutative algebra.Lect. Notes in Math. 444 (1975), Springer-Verlag. Zbl 0302.16001, MR 0419497, 10.1007/BFb0068134 |
| Reference:
|
[13] Van Oystaeyen F., Verschoren A.: Reflectors and localization. Application to sheaf theory.Lect. Notes in Math. (1979), Marcel Dekker. Zbl 0408.16001, MR 0521257 |
| Reference:
|
[14] Van Oystaeyen F., Verschoren A.: Fully bounded Grothendieck categories. Part II. Graded Modules.to appear. |
| Reference:
|
[15] Verschoren A.: Fully bounded Grothendieck categories. Part I: Locally Noetherian categories.to appear. Zbl 0469.18005 |
| Reference:
|
[16] Verschoren A.: Localization and the Gabriel-Popescu embedding theorem.Comm. in Algebra, 6 (1978), 1563-1587. MR 0498798, 10.1080/00927877808822308 |
| . |
