Essentially indecomposable modules over a complete discrete valuation ring

B. Goldsmith

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 70, page 21-29
  • ISSN: 0041-8994

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Goldsmith, B.. "Essentially indecomposable modules over a complete discrete valuation ring." Rendiconti del Seminario Matematico della Università di Padova 70 (1983): 21-29. <http://eudml.org/doc/107919>.

@article{Goldsmith1983,
author = {Goldsmith, B.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {indecomposable modules over a complete discrete valuation ring},
language = {eng},
pages = {21-29},
publisher = {Seminario Matematico of the University of Padua},
title = {Essentially indecomposable modules over a complete discrete valuation ring},
url = {http://eudml.org/doc/107919},
volume = {70},
year = {1983},
}

TY - JOUR
AU - Goldsmith, B.
TI - Essentially indecomposable modules over a complete discrete valuation ring
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 70
SP - 21
EP - 29
LA - eng
KW - indecomposable modules over a complete discrete valuation ring
UR - http://eudml.org/doc/107919
ER -

References

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  1. [1] R.A. Beaumont - R.S. Pierce, Some invariants of p-groups, Michigan Math. J., 11 (1964), pp. 137-149. Zbl0126.26903MR180601
  2. [2] A.L.S. Corner, On endomorphism rings of primary abelian groups, Quart. J. Math. (Oxford) (2), 20 (1969), pp. 277-296. Zbl0205.32506MR258949
  3. [3] L. Fuchs, Infinite Abelian Groups Vol. I, Academic Press, New York and London, 1970. Zbl0209.05503MR255673
  4. [4] L. Fuchs, Infinite Abelian Groups - Vol. II, Academic Press, New York and London, 1973. Zbl0257.20035MR349869
  5. [5] B. Goldsmith, Essentially -rigid families of abelian p-groups, J. London Math. Soc., (2), 18 (1978), pp. 70-74. Zbl0389.20045MR502658
  6. [6] T.J. Jech, Lectures in Set Theory, Lecture Notes in Mathematics - Vol. 217, Springer-Verlag, Berlin1971. Zbl0236.02048MR321738
  7. [7] I. Kaplansky, Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954. Zbl0194.04402MR65561
  8. [8] W. Liebert, Characterisation of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings, Pacific J. Math., 37 (1971), pp. 141-170. Zbl0214.05704MR310018
  9. [9] R.S. Pierce, Homomorphisms of primary abelian groups, Topics in Abelian Groups, pp. 215-310, Scott, Foresman & Co., Chicago, 1963. MR177035
  10. [10] S. Shelah, Existence of rigid-like families of abelian p-groups, Model Theory and Algebra, Lecture Notes in Mathematics Vol. 498, pp. 384-402, Springer-Verlag, Berlin, 1975. Zbl0329.20037MR412299
  11. [ 11 ] S. Shelah, Infinite Abelian Groups, Whitehead problem and some constructions, Israel J. Math., 18 (1974), pp. 243-256. Zbl0318.02053MR357114

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