Abelian groups with anti-isomorphic endomorphism rings

G. D'Este

Rendiconti del Seminario Matematico della Università di Padova (1978)

  • Volume: 60, page 55-75
  • ISSN: 0041-8994

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D'Este, G.. "Abelian groups with anti-isomorphic endomorphism rings." Rendiconti del Seminario Matematico della Università di Padova 60 (1978): 55-75. <http://eudml.org/doc/107705>.

@article{DEste1978,
author = {D'Este, G.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {anti-isomorphic endomorphism rings; E-self-dual groups; E-dual groups},
language = {eng},
pages = {55-75},
publisher = {Seminario Matematico of the University of Padua},
title = {Abelian groups with anti-isomorphic endomorphism rings},
url = {http://eudml.org/doc/107705},
volume = {60},
year = {1978},
}

TY - JOUR
AU - D'Este, G.
TI - Abelian groups with anti-isomorphic endomorphism rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1978
PB - Seminario Matematico of the University of Padua
VL - 60
SP - 55
EP - 75
LA - eng
KW - anti-isomorphic endomorphism rings; E-self-dual groups; E-dual groups
UR - http://eudml.org/doc/107705
ER -

References

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  1. [1] R. Baer, Linear Algebra and Projective Geometry, Academic Press, New York, 1952. Zbl0049.38103MR52795
  2. [2] A.L.S. Corner, Endomorphism rings of torsion-free abelian groups, Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ.Canberra, August 1965, pp. 59-69. Zbl0178.02303
  3. [3] G. D'Este, A theorem on the endomorphism rings of reduced torsion-free abelian groups and some applications, Annali di Matematica pura ed applicata, 96 (1978), pp. 381-392. Zbl0383.20036MR506986
  4. [4] K. Faltings, On the automorphism groups of a reduced primary abelian group, Trans. Amer. Math. Soc., 165 (1972), pp. 1-25. Zbl0253.20078MR292932
  5. [5] L. Fuchs, Infinite Abelian Groups, vol. I-II, Academic Press, New York and London, 1970-73. Zbl0209.05503MR255673
  6. [6] L. Gewirtzmann, Anti-isomorphisms of the endomorphism rings of torsion-free modules, Math. Zeitschr., 98 (1967), pp. 391-400. Zbl0152.01703MR214621
  7. [7] D.K. Harrison, Infinite abelian groups and homological methods, Ann. of Math., 69 (1959), pp. 366-391. Zbl0100.02901MR104728
  8. [8] N. Jacobson, Basic Algebra II, Preprint, 1977. 
  9. [9] 1 Kaplansky, Infinite Abelian Groups, University of Michigan Press, Ann. Arbor, 1969. Zbl0194.04402MR233887
  10. [10] W. Liebert, Characterisierung der Endomorphismenringe endlicher abelscher Gruppen, Arch. Math., 18 (1967), pp. 128-135. Zbl0153.03601MR212088
  11. [11] W. Liebert, Characterization of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings, Pacif. J. Math., 37 (1971), pp. 141-170. Zbl0214.05704MR310018
  12. [12] W. Liebert, Ulm valuations and co-valuations on torsion-complete p-groups, Lecture Notes in Math.616, Abelian Groups Theory, Proc. 2nd New Mexico State University Conference 1976, Springer-Verlag, 1977, pp. 337-353. Zbl0375.20039MR460492
  13. [13] W. May - E. TUBASSI, Endomorphisms of abelian groups and the theorem of Baer and Kaplansky, Journal of Algebra, 43 (1976), pp. 1-13. Zbl0353.20041MR422454
  14. [14] A. Orsatti, Anelli di endomorfismi di gruppi abeliani senza torsione, Istituto Nazionale di Alta Matematica, Symposia Mathematica, 8 (1972), pp. 179-191. Zbl0248.16001MR338216
  15. [15] Ph.SCHULTZ, On a paper on Szele and Szendrei on groups with commutative endomorphism rings, Acta Mathematica Academiae Scientiarum Hungaricae, 24 (1973), pp. 59-63. Zbl0259.20046MR316598

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