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- Title
Some Characterizations of Modules via Essentially Small Sub- modules.
- Authors
VAN THUYET, LE; PHAN HONG TIN
- Abstract
In this paper, the structure of e-local modules and classes of modules via essentially small are investigated. We show that the following conditions are equivalent for a module M. (1) M is e-local. (2) Rade(M) is a maximal submodule of M and every proper essential submodule of M is contained in a maximal submodule. (3) M has a unique essential maximal submodule and every proper essential submodule of M is contained in a maximal submodule.
- Subjects
MODULES (Algebra); UNIQUENESS (Mathematics); MATHEMATICAL equivalence; MATHEMATICAL analysis; COMBINATORICS
- Publication
Kyungpook Mathematical Journal, 2016, Vol 56, Issue 4, p1069
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2016.56.4.1069