@article{RSMUP_1988__80__175_0, author = {Salce, Luigi and Zanardo, Paolo}, title = {Rank-two torsion-free modules over valuation domains}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {175--201}, publisher = {Seminario Matematico of the University of Padua}, volume = {80}, year = {1988}, mrnumber = {988121}, zbl = {0685.13006}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1988__80__175_0/} }
TY - JOUR AU - Salce, Luigi AU - Zanardo, Paolo TI - Rank-two torsion-free modules over valuation domains JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1988 SP - 175 EP - 201 VL - 80 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1988__80__175_0/ LA - en ID - RSMUP_1988__80__175_0 ER -
%0 Journal Article %A Salce, Luigi %A Zanardo, Paolo %T Rank-two torsion-free modules over valuation domains %J Rendiconti del Seminario Matematico della Università di Padova %D 1988 %P 175-201 %V 80 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1988__80__175_0/ %G en %F RSMUP_1988__80__175_0
Salce, Luigi; Zanardo, Paolo. Rank-two torsion-free modules over valuation domains. Rendiconti del Seminario Matematico della Università di Padova, Tome 80 (1988), pp. 175-201. http://www.numdam.org/item/RSMUP_1988__80__175_0/
[1] A duality for torsion-free modules of finite rank over a discrete valuation ring, Proc. London Math. Soc., (3), 24 (1972), pp. 204-216. | MR | Zbl
,[2] ZANARDO, Discrete valuation domains and ranks of their maximal extensions, Rend. Sem. Mat. Univ. Padova, 75 (1986), pp. 143-156. | Numdam | MR | Zbl
- P.[3] Infinite abelian groups, vol. II, Academic Press, London and New York, 1973. | MR | Zbl
,[4] Prebasic submodules over valuation rings, Annali Mat. Pura e Appl., 32 (1982), pp. 257-274. | MR | Zbl
- ,[5] Modules over valuation domains, Lecture Notes Pure Appl. Math., no. 97, Marcel Dekker, New York, Basel, 1985. | MR | Zbl
- ,[6] G. VILJOEN, On finite rank torsion-free modules over almost maximal valuation domains, Comm. in Algebra, 12 (3) (1984), pp. 245-258. | MR | Zbl
-[7] Modules over Dedekind and valuation rings, Trans. Amer. Math. Soc., 72 (1952), pp. 327-340. | MR | Zbl
,[8] Infinite abelian groups, Univ. of Michigan Press, Ann Arbor, Michigan, 1969. | MR | Zbl
,[9] ZANARDO, Finitely generated modules over valuation rings, Comm. in Algebra, 12 (15) (1984), pp. 1795-1818. | MR | Zbl
- P.[10] ZANARDO, Some cardinal invariants for valuation domains, Rend. Sem. Mat. Univ. Padova, 74 (1985), pp. 205-217. | Numdam | MR | Zbl
- P.[11] ZANARDO, On two-generated modules over valuation domains, Archiv der Math., 46 (1986), pp. 408-418. | MR | Zbl
- P.[12] A duality for finitely generated modules over valuation domains, Proceedings Oberwolfach 1985, Conference on Abelian Groups. | Zbl
- ,[13] On torsion-free modules of rank two over almost maximal valuation domains, Lecture Notes no. 1006, Springer-Verlag (1983), pp. 607-616. | MR | Zbl
,[14] On the classification of indecomposable finitely generated modules over valuation domains, Comm. in Algebra, 43 (11) (1985), pp. 2473-2491. | MR | Zbl
,[15] Indecomposable finitely generated modules over valuation domains, Annali Univ. Ferrara - Sc. Mat., 31 (1985), pp. 71-89. | MR | Zbl
,[16] Quasi-isomorphisms of finitely generated modules over valuation domains (to appear). | MR | Zbl
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