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A construction of nonstandard uniserial modules over valuation domains
Author(s):
Barbara L.
Osofsky
Journal:
Bull. Amer. Math. Soc.
25
(1991),
89-97.
MSC (1985):
Primary 13A18, 13L05
MathSciNet review:
1085826
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Additional information
References:
- [B-S1] S. Bazzoni and L. Salce, On non-standard uniserial modules over valuation domains and their quotients, J. Alg. 128 (1990), 292-305. MR 1036392
- [B-S2] S. Bazzoni and L. Salce, Elongations of uniserial modules over valuation domains, J. Alg. (to appear). MR 1152907
- [E] P. Eklof, A transfer theorem for non-standard uniserials, Proc. Amer. Math. Soc. (to appear). MR 1074751
- [F-G] B. Franzen and R. Göbel, Nonstandard uniserial modules over valuation domains, Results in Math. 12 (1987), 86-94. MR 911463
- [F-Sa] L. Fuchs and L. Salce, Modules over valuation domains, Lecture Notes in Pure and Applied Math., vol. 97, Marcel Dekker, New York, 1985. MR 786121
- [F-Sh] L. Fuchs and S. Shelah, Kaplansky's problem on valuation rings, Proc. Amer. Math. Soc. 105 (1989), 25-30. MR 929431
- [K] K. Kunen, Set theory: an introduction to independence proofs, North Holland, New York, 1980. MR 597342
- [Kr] W. Krull, Allgemeine Bewertungstheorie, J. Reine Angew. Math. 167 (1932), 160-196.
- [S] S. Shelah, Nonstandard uniserial module over a uniserial domain exists, Around Classification theory of Models, Lecture Notes in Math, vol. 1182, Springer-Verlag, Berlin, Heidelberg, New York, 1986, pp. 135-150. MR 850056
- [Sc] O. F. G. Schilling, The theory of valuations, Math surveys, vol. 4, Amer. Math. Soc. Providence, RI, 1950. MR 43776
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Additional Information:
DOI:
10.1090/S0273-0979-1991-16032-5
PII:
S 0273-0979(1991)16032-5
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