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- Title
On H-μ-supplemented modules.
- Authors
Kamil, Enas Mustafa; Khalid, Wasan
- Abstract
We say that the submodules A, B of an R-module M are μ-equivalent, AμB if and only if A + B/A<<μ M/A and A + B/B <<μ M/B . We show that μ relation is an equivalent relation and has good behavior with respect to addition of submodules, homorphisms, and direct sums, we apply these results to introduced the class of H- μ-supplemented modules. We say that a module M is H-μ-supplemented module if for every submodule A of M, there is a direct summand D of M such that AμD. Various properties of these modules are given.
- Subjects
MODULES (Algebra); EQUIVALENCE relations (Set theory); HOMOMORPHISMS; ADDITION (Mathematics); ABSTRACT algebra
- Publication
Iraqi Journal of Science, 2019, Vol 60, Issue 5, p1129
- ISSN
0067-2904
- Publication type
Article
- DOI
10.24996/ijs.2019.60.5.21