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A classification of modules over complete discrete valuation rings
Author:
Chang Mo Bang
Journal:
Bull. Amer. Math. Soc. 76 (1970), 380-383
MSC (1970):
Primary 2030, 2027; Secondary 1340, 1350
MathSciNet review:
0252507
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Chang
Mo Bang, Countably generated modules over complete discrete
valuation rings., J. Algebra 14 (1970),
552–560. MR 0258948
(41 #3593)
- 2.
C. Bang, Modules over complete discrete valuation rings, Dissertation, Vanderbilt University, Nashville, Tenn., 1969.
- 3.
Paul
Hill, Sums of countable primary
groups, Proc. Amer. Math. Soc. 17 (1966), 1469–1470. MR 0199259
(33 #7408), http://dx.doi.org/10.1090/S0002-9939-1966-0199259-8
- 4.
Irving
Kaplansky and George
W. Mackey, A generalization of Ulm’s theorem, Summa
Brasil. Math. 2 (1951), 195–202. MR 0049165
(14,128b)
- 5.
George
Kolettis Jr., Direct sums of countable groups, Duke Math. J
27 (1960), 111–125. MR 0110748
(22 #1616)
- 6.
Fred
Richman and Elbert
Walker, Extending Ulm’s theorem without
group theory, Proc. Amer. Math. Soc. 21 (1969), 194–196.
MR
0240201 (39 #1553), http://dx.doi.org/10.1090/S0002-9939-1969-0240201-1
- 7.
Joseph
Rotman and Ti
Yen, Modules over a complete discrete
valuation ring, Trans. Amer. Math. Soc. 98 (1961), 242–254.
MR
0122895 (23 #A227), http://dx.doi.org/10.1090/S0002-9947-1961-0122895-1
- 8.
Helmut
Ulm, Zur Theorie der abzählbar-unendlichen Abelschen
Gruppen, Math. Ann. 107 (1933), no. 1,
774–803 (German). MR
1512826, http://dx.doi.org/10.1007/BF01448919
- 1.
- C. Bang, Countably generated modules over complete discrete valuation rings, J Algebra (to appear). MR 258948
- 2.
- C. Bang, Modules over complete discrete valuation rings, Dissertation, Vanderbilt University, Nashville, Tenn., 1969.
- 3.
- P. Hill, Sums of countable primary groups, Proc. Amer. Math. Soc. 17 (1966), 1469-1470. MR 33 #7408. MR 199259
- 4.
- I. Kaplansky and G. Mackey, A generalization of Ulm's theorem, Summa Brasil. Math. 2 (1951), 195-202. MR 14, 128. MR 49165
- 5.
- G. Kolettis, Jr., Direct sums of countable groups, Duke Math. J. 27 (1960), 111-125. MR 110748
- 6.
- F. Richman and E. Walker, Extending Ulm's theorem without group theory, Proc. Amer. Math. Soc. 21 (1969), 194-196. MR 240201
- 7.
- J. Rotman and T. Yen, Modules over a complete discrete valuation ring, Trans. Amer. Math. Soc. 98 (1961), 242-254. MR 23 #A227. MR 122895
- 8.
- H. Ulm, Zur Theorie der abzahlbar-unendlichen Abelschen Gruppen, Math. Ann. 107 (1933), 774-803. MR 1512826
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12485-5
PII:
S 0002-9904(1970)12485-5
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