c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN

c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN

In this paper we prove that every module over a Dedekind domain has a c-injective envelope.

___

  • R.H. Alizade, K.D. Akıncı and A. Imam, On the structure of neat-injective envelopes, Mathematica (Cluj), 46 (69)2, 2004, 115-122.
  • L. Fuchs, Infinite Abelian Groups, Vol. 1, Academic Press, 1970.
  • A.I. Generalov, On weak and ω-high purity in the category of modules, Math. USSR, Sb., 34:1978, 345-356. Translated from Russian from Mat. Sb., N. Ser., 105(147) (1978), 389-402.
  • D.K. Harrison, J.M. Irwin, C.L. Peercy and E.A. Walker, High extension of abelian groups, Acta Math. Acad. Sci. Hungar., 14 (1963), 319-330.
  • A. Imam, Neat Injective Envelopes, Ph.D. Thesis, Dokuz Eyl¨ul University, ˙Izmir, Turkey, 2000.
  • E. Mermut, Homological Approach to Complements and Supplements, Ph.D. Thesis, Dokuz Eyl¨ul University, ˙Izmir, Turkey, 2004.
  • C. SantaClara and P.F. Smith, Modules which are self-injective relative to closed submodules, International Conference on Algebra and its Applications (Athens, OH, 1999), Contemp. Math., 259 (2000), 487-499.
  • B. Stenstr¨om, Pure submodules, Arkiv f¨or Matematik, 7(10) (1967), 159-171.
  • B. Stenstr¨om, High submodules and purity, Arkiv f¨or Matematik, 7(11) (1967), 173-176. Arshad Imam
  • Greenwich University, Karachi, Pakistan
  • E-mail: iarchad@hotmail.com

___

Bibtex @ { ieja266394, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {1710 Sokak, No:41, Batikent/Ankara}, publisher = {Abdullah HARMANCI}, year = {2007}, volume = {2}, number = {2}, pages = {22 - 27}, title = {c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN}, key = {cite}, author = {Imam, Arshad} }
APA Imam, A. (2007). c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN . International Electronic Journal of Algebra , 2 (2) , 22-27 .
MLA Imam, A. "c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN" . International Electronic Journal of Algebra 2 (2007 ): 22-27 <
Chicago Imam, A. "c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN". International Electronic Journal of Algebra 2 (2007 ): 22-27
RIS TY - JOUR T1 - c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN AU - ArshadImam Y1 - 2007 PY - 2007 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 22 EP - 27 VL - 2 IS - 2 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2022 ER -
EndNote %0 International Electronic Journal of Algebra c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN %A Arshad Imam %T c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN %D 2007 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 2 %N 2 %R %U
ISNAD Imam, Arshad . "c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN". International Electronic Journal of Algebra 2 / 2 (Aralık 2007): 22-27 .
AMA Imam A. c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN. IEJA. 2007; 2(2): 22-27.
Vancouver Imam A. c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN. International Electronic Journal of Algebra. 2007; 2(2): 22-27.
IEEE A. Imam , "c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN", , c. 2, sayı. 2, ss. 22-27, Ara. 2007