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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
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Category: math
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MSC: 13C13
MSC: 13F30
idZBL: Zbl 0857.13020
idMR: MR1250923
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Date available: 2009-01-30T09:00:37Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120470
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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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