Title:
|
On the notions of characteristics and type for modules and their applications (English) |
Author:
|
Dimitrić, Radoslav |
Language:
|
English |
Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
ISSN:
|
1211-4774 |
Volume:
|
1 |
Issue:
|
1 |
Year:
|
1993 |
Pages:
|
13-25 |
. |
Category:
|
math |
. |
MSC:
|
13C13 |
MSC:
|
13F30 |
idZBL:
|
Zbl 0857.13020 |
idMR:
|
MR1250923 |
. |
Date available:
|
2009-01-30T09:00:37Z |
Last updated:
|
2013-10-22 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120470 |
. |
Reference:
|
[1] Bouгbaki N.: Eléments de mathématique the, Algébre commutative.Chapitre 7, 86, Hermann, 1965. |
Reference:
|
[2] Clifford A. H.: Naturally totally ordered commutative semigroups.Amer. J. Math 76 (1954), 631-646 MR 0062118, 10.2307/2372706 |
Reference:
|
[3] Dimitrić R.: On chains of free modules over valuation domains.Czechoslovak Math. J. 37 (112) (1987), 400-406. MR 0904767 |
Reference:
|
[4] Dimitrić R.: A note on isomorphism of endomorphism algebras of modules over valuation domains.Arch. Math. 51 (1988), 419-424. MR 0970355, 10.1007/BF01198625 |
Reference:
|
[5] Dimitrić R.: Balanced projective dimension of modules over valuation domains.Preprint, 1991. MR 1828549 |
Reference:
|
[6] Dimitrić R.: Dualities between $Hom_R$ and $\otimes_R$ and their applications.Kobe J. Math. 9 (1992) . MR 1189956 |
Reference:
|
[7] Dimitrić R., Fuchs L.: On torsion-free modules over valuation domains.Publ. Math. Debrecen 34 (1987), 91-97. MR 0901009 |
Reference:
|
[8] Fuchs L., Salce L.: Modules Over Valuation Domains.Lectuгe Notes in Puгe and Applied Mathematics, 97, Marcel Dekkeг, Inc, New York and Basel, 1985. Zbl 0578.13004, MR 0786121 |
Reference:
|
[9] Rees D.: On semi-groups.Proc Cambridge Phil. Soc 36 (1940), 387-400. Zbl 0028.00401, MR 0002893 |
Reference:
|
[10] Shores T. S.: On generalized valuation rings.Mich. Math. J. 21 (1974), 405-409. MR 0366892 |
Reference:
|
[11] Shores T. S., Lewis W. J.: Serial modules and endomorphism rings.Duke Math. J. 41 (1974), 889-909. Zbl 0294.13007, MR 0352079, 10.1215/S0012-7094-74-04188-X |
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