Self- c -injective abelian groups

Simion Breaz; Grigore Călugăreanu

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 116, page 193-203
  • ISSN: 0041-8994

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Breaz, Simion, and Călugăreanu, Grigore. "Self-$c$-injective abelian groups." Rendiconti del Seminario Matematico della Università di Padova 116 (2006): 193-203. <http://eudml.org/doc/108691>.

@article{Breaz2006,
author = {Breaz, Simion, Călugăreanu, Grigore},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {self-injective Abelian groups; quasi-pure-injective groups; honest mixed Abelian groups; direct sums; quasi-injective primary Abelian groups},
language = {eng},
pages = {193-203},
publisher = {Seminario Matematico of the University of Padua},
title = {Self-$c$-injective abelian groups},
url = {http://eudml.org/doc/108691},
volume = {116},
year = {2006},
}

TY - JOUR
AU - Breaz, Simion
AU - Călugăreanu, Grigore
TI - Self-$c$-injective abelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2006
PB - Seminario Matematico of the University of Padua
VL - 116
SP - 193
EP - 203
LA - eng
KW - self-injective Abelian groups; quasi-pure-injective groups; honest mixed Abelian groups; direct sums; quasi-injective primary Abelian groups
UR - http://eudml.org/doc/108691
ER -

References

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  1. [1] D. ARNOLD - C. I. VINSONHALER - W. J. WICKLESS, Quasi-pure projective and injective torsion free abelian groups of rank 2. Rocky Mountain J. Math. 6, no. 1 (1976), pp. 61-70. Zbl0344.20040MR444799
  2. [2] D. M. ARNOLD - B. O'BRIEN - J. D. REID, Quasipure injective and projective torsion-free abelian groups of finite rank. Proc. London Math. Soc. (3) 38, no. 3 (1979), pp. 532-544. Zbl0406.20044MR532986
  3. [3] K. BENABDALLAH - A. LAROCHE, Les groupes abéliens quasi-purs injectifs sans torsion complètement décomposables. (French) Rend. Mat. (6) 10 no. 2-3 (1977), pp. 305-312. Zbl0375.20040MR473045
  4. [4] K. BENABDALLAH - R. BRADLEY - A. LAROCHE, Sur les groupes quasi-p-nets injectifs et projectifs. (French) Abelian group theory (Proc. Second New Mexico State Univ. Conf., Las Cruces, N.M., 1976), Lecture Notes in Math., Vol. 616, Springer, Berlin, 1977, pp. 228-239. Zbl0378.20041MR460493
  5. [5] N.V. DUNG - D. VAN HUYNH - P.F. SMITH - R. WISBAUER, Extending modules. Harlow (1994). Zbl0841.16001MR1312366
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  7. [7] L. FUCHS - L. SALCE, Modules over non-Noetherian domains. Mathematical Surveys and Monographs, 84. American Mathematical Society, Providence, RI (2001). Zbl0973.13001MR1794715
  8. [8] P. GOETERS - C. VINSONHALER - W. WICKLESS, A generalization of quasipure injective torsion-free abelian groups. Houston J. Math. vol. 22, no. 3 (1996), pp. 473-384. Zbl0882.20036
  9. [9] H.P. GOETERS - W.J. WICKLESS, Qqpi groups and quasi-equivalence. Proc. AMS, vol. 126, no. 11 (1998), pp. 3145-3150. Zbl0910.20036
  10. [10] M.A. KIL'P, Quasi-injective abelian groups. [Russian], Vestnik Mosk. Univ., 22 nr. 3 (1967), pp. 3-4. Zbl0147.01003
  11. [11] F. LOONSTRA, Closed submodules. Abelian group theory (Honolulu, Hawaii, 1983), Lecture Notes in Math., 1006, Springer, Berlin-New York, (1983), pp. 630-638. Zbl0519.13010
  12. [12] G. RENAULT, Étude des sous-modules compléments dans un module. (French) Bull. Soc. Math. France Mém. 9, (1967) 79 pp. ??? Zbl0154.28003
  13. [13] C. SANTA-CLARA - P.F. SMITH, Modules which are self-injective relative to closed submodules. In 'Algebra and its Applications' (Athens, Ohio, 1999), Contemporary Mathematics 259, AMS, Providence, (2000), pp. 487- 499. Zbl0968.16002MR1780543
  14. [14] C. SANTA-CLARA - F. SMITH PATRICK, Direct products of simple modules over Dedekind domains. Arch. Math. (Basel) 82 no. 1 (2004), pp. 8-12. Zbl1055.16003MR2034463
  15. [15] C. VINSONHALER, Almost quasi-pure injective abelian groups , Rocky Mount. J. Math., vol. 9, no. 3 (1979), pp. 569-576. Zbl0388.20043MR528753

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