TY - JOUR TT - c-INJECTIVE ENVELOPE OF MODULES OVER A DEDEKIND DOMAIN AU - Imam, Arshad PY - 2007 DA - December JF - International Electronic Journal of Algebra JO - IEJA PB - Abdullah HARMANCI WT - DergiPark SN - 1306-6048 SP - 22 EP - 27 VL - 2 IS - 2 KW - Complement (high) submodule KW - c-injective module KW - c-essential extension KW - c-injective envelope N2 - In this paper we prove that every module over a Dedekind domain has a c-injective envelope. CR - R.H. Alizade, K.D. Akıncı and A. Imam, On the structure of neat-injective envelopes, Mathematica (Cluj), 46 (69)2, 2004, 115-122. CR - L. Fuchs, Infinite Abelian Groups, Vol. 1, Academic Press, 1970. CR - 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. CR - 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. CR - A. Imam, Neat Injective Envelopes, Ph.D. Thesis, Dokuz Eyl¨ul University, ˙Izmir, Turkey, 2000. CR - E. Mermut, Homological Approach to Complements and Supplements, Ph.D. Thesis, Dokuz Eyl¨ul University, ˙Izmir, Turkey, 2004. CR - 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. CR - B. Stenstr¨om, Pure submodules, Arkiv f¨or Matematik, 7(10) (1967), 159-171. CR - B. Stenstr¨om, High submodules and purity, Arkiv f¨or Matematik, 7(11) (1967), 173-176. Arshad Imam CR - Greenwich University, Karachi, Pakistan CR - E-mail: iarchad@hotmail.com UR - https://dergipark.org.tr/en/pub/ieja/issue//266394 L1 - https://dergipark.org.tr/en/download/article-file/232917 ER -