Some Results on Essentially Quasi-DedekindModules

Authors

  • Inaam Mohammed Ali Department of Mathematics, College of Education for pure science Ibn ALHaitham, University of Baghdad, Baghdad, Iraq
  • Tha'ar YounisGhawi Department of Mathematics, College of Education, University of AL-Qadisiya, Iraq

Keywords:

Essentially quasi-Dedekind modules, Baer modules, retractable modules, compressible modules, monoform modules

Abstract

In this paper we give many connections between essentially quasi-Dedekind (quasi-
Dedekind) modules and other modules such that Baer modules, retractable modules,
essentially retractable modules, compressible modules and essentially compressible
modules where an R-module M is called essentially quasi-Dedekind (resp. quasi-
Dedekind) if, Hom(M N ,M )  0 for all N ≤e M (resp. N ≤ M). Equivalently, a
module M is essentially quasi-Dedekind (resp. quasi-Dedekind) if, for each
f End (M) R  , Kerf ≤ e M implies f = 0 (resp. f  0 implies ker f  0 ).

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Published

2023-04-30

Issue

Vol. 56 No. 2A (2015)

Section

Mathematics

How to Cite

Some Results on Essentially Quasi-DedekindModules. (2023). Iraqi Journal of Science, 56(2A), 1130-1139. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/10204