The existence of envelopes

Edgar E. Enochs; Overtoun M. G. Jenda; Jinzhong Xu

Rendiconti del Seminario Matematico della Università di Padova (1993)

  • Volume: 90, page 45-51
  • ISSN: 0041-8994

How to cite

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Enochs, Edgar E., Jenda, Overtoun M. G., and Xu, Jinzhong. "The existence of envelopes." Rendiconti del Seminario Matematico della Università di Padova 90 (1993): 45-51. <http://eudml.org/doc/108308>.

@article{Enochs1993,
author = {Enochs, Edgar E., Jenda, Overtoun M. G., Xu, Jinzhong},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {linear map; automorphisms; -envelopes; injective structure; category of left -modules; character modules; pure injective envelope; finitely presented left -module; flat envelope},
language = {eng},
pages = {45-51},
publisher = {Seminario Matematico of the University of Padua},
title = {The existence of envelopes},
url = {http://eudml.org/doc/108308},
volume = {90},
year = {1993},
}

TY - JOUR
AU - Enochs, Edgar E.
AU - Jenda, Overtoun M. G.
AU - Xu, Jinzhong
TI - The existence of envelopes
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1993
PB - Seminario Matematico of the University of Padua
VL - 90
SP - 45
EP - 51
LA - eng
KW - linear map; automorphisms; -envelopes; injective structure; category of left -modules; character modules; pure injective envelope; finitely presented left -module; flat envelope
UR - http://eudml.org/doc/108308
ER -

References

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  1. [1] V.K.A. Akatsa, Flat envelopes and negative torsion functors, Thesis, University of Kentucky (1991). 
  2. [2] D.D. Adams, Absolutely pure modules, Thesis, University of Kentucky (1978). 
  3. [3] R. Belshoff - E. Enochs - Xu Jinzhong, The existence of flat covers (submitted). Zbl0840.16003
  4. [4] S. Eilenberg - J. C. MOORE, Foundations of Relative Homological Algebra, A.M.S. Memoirs, 55, A.M.S., Providence (1965). Zbl0129.01101MR178036
  5. [5] E. Enochs, Flat covers and flat cotorsion modules, Proc. Amer. Math. Soc., 92 (1984), pp. 179-184. Zbl0522.13008MR754698
  6. [6] E. Enochs, Minimal pure injective resolutions of flat modules, J. Alg., 105 (1987), pp. 351-364. Zbl0614.13005MR873670
  7. [7] E. Enochs, Injective and flat covers, envelopes and resolvents, Israel J. Math., 39 (1981), pp. 189-209. Zbl0464.16019MR636889
  8. [8] L. Gruson - M. Raynaud, Critères de platitude et de projectivité, Invent. Math., 13 (1971), pp. 1-89. Zbl0227.14010MR308104
  9. [9] J. Martínez Hernández, Relatively flat envelopes, Comm. Alg., 14 (1986), pp. 867-884. Zbl0595.16014MR834470
  10. [10] J. Martínez Hernández - J. Asencio Mayor, Flat envelopes in commutative rings, Israel J. Math., 62 (1978), pp. 123-128. Zbl0667.13005MR947834
  11. [11] J.M. Maranda, Injective structures, Tams, 110 (1964), pp. 98-135. Zbl0121.26601MR163937
  12. [12] R.B. Warfield, Purity and algebraic compactness for modules, Pacific J. Math., 28 (1969), pp. 699-719. Zbl0172.04801MR242885

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