@article{RSMUP_2001__106__261_0, author = {Olberding, Bruce}, title = {Stability, duality, $2$-generated ideals and a canonical decomposition of modules}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {106}, year = {2001}, pages = {261-290}, mrnumber = {1876223}, zbl = {1072.13506}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2001__106__261_0} }
Olberding, Bruce. Stability, duality, $2$-generated ideals and a canonical decomposition of modules. Rendiconti del Seminario Matematico della Università di Padova, Tome 106 (2001) pp. 261-290. http://gdmltest.u-ga.fr/item/RSMUP_2001__106__261_0/
[1] On the ubiquity of Gorenstein rings, Math. Z., 82 (1963), pp. 8-28. | MR 153708 | Zbl 0112.26604
,[2] Warfield domains, J. of Alg., 185 (1996), pp. 836-868. | MR 1419726 | Zbl 0873.13020
- ,[3] Representations of orders with a cyclic index, Trudy Mat. Inst. Steklov, 80 (1965), pp. 51-65 (in Russian); English Translation: Proc. Steklov. Inst. Math., 80 (1965), pp. 56-72. | MR 205980 | Zbl 0179.06101
- ,[4] Almost maximal integral domains and finitely generated modules, Trans. Amer. Math. Soc., 183 (1973), pp. 203-222. | MR 325609 | Zbl 0273.13011
,[5] W. VASCONCELOS - R. WIEGAND, Projective summands in generators, Nagoya Math. J., 80 (1982), pp. 203-209. | MR 661225 | Zbl 0451.13005
-[6] Generalized Dedekind domains and their injective modules, J. Pure and Appl. Algebra, 94 (1994), pp. 159-173. | MR 1282837 | Zbl 0845.13005
,[7] Prüfer Domains, Marcel Dekker, New York, 1997. | MR 1413297 | Zbl 0861.13006
- - ,[8] Integral domains in which every non-zero ideal is divisorial, Mathematika, 15 (1968), pp. 164-169. | MR 236161 | Zbl 0169.05404
,[9] Dedekind-like behavior of rings with 2-generated ideals, J. Pure and Appl. Algebra, 37 (1985), pp. 41-58. | MR 794792 | Zbl 0616.13008
- ,[10] Stable ideals and Arf rings, Amer. J. Math., 93 (1971), pp. 649-685. | MR 282969 | Zbl 0228.13008
,[11] Torsion-free modules, The University of Chicago Press, Chicago, 1972. | MR 344237 | Zbl 0298.13001
,[12] Injective modules over Prüfer domains, Nagoya Math. J., 15 (1959), pp. 57-69. | MR 109840 | Zbl 0090.25305
,[13] Almost maximal Prüfer domains, Comm. in Alg., 27 (1999), pp. 4433-4458. | MR 1705879 | Zbl 0977.13010
,[14] On the classification of stable domains, J. Algebra, in press. | MR 1851660 | Zbl 1042.13013
,[15] Factorization into prime and invertible ideals, J. London Math. Soc., 62 (2000), pp. 336-344. | MR 1783628 | Zbl 1056.13503
,[16] Globalizing local properties of Prüfer domains, J. Algebra., 205 (1998), pp. 480-504. | MR 1632741 | Zbl 0928.13013
,[17] Modules of injective dimension one over Prüfer domains, J. Pure Appl. Algebra, 153 (2000), pp. 263-287. | MR 1783169 | Zbl 0978.13009
,[18] On the structure of stable domains, Comm. Algebra, to appear. | MR 1883031 | Zbl 1073.13014
,[19] 2-generated ideals and representations of abelian groups over valuation rings, J. of Alg., 177 (1995), pp. 77-101. | MR 1356360 | Zbl 0846.16023
,[20] Rings with 2-generated ideals, J. Pure Appl. Alg., 73 (1991), pp. 257-275. | MR 1124788 | Zbl 0734.13010
,[21] Stable rings, J. Pure Appl. Alg., 4 (1974), pp. 319-336. | MR 409430 | Zbl 0284.13010
- ,[22] Stable rings and a problem of Bass, Bull. Am. Math. Soc., 79 (1973), pp. 575-576. | MR 311643 | Zbl 0259.13005
and ,[23] Cancellation of modules and groups and stable range of endomorphism rings, Pacific J. Math., 91 (1980), pp. 457-485. | MR 615693 | Zbl 0484.16017
,