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- Title
ON GOLDIE*-SUPPLEMENTED MODULES.
- Authors
NEBIYEV, CELIL; SOKMEZ, NURHAN
- Abstract
Let M be a left R-module. X,Y of M are β* equivalent, Xβ*Y, if and only if X+Y/X is small in M/X and X+Y/Y is small in M/Y . A module M is called G* -supplemented if for every submodule X of M there is a supplement submodule S of M such that Xβ*S. In this work some new properties of β* are given and G* -supplemented modules are studied. Also completely G* -supplemented modules and G* -radical supplemented modules are defined.
- Subjects
MATHEMATICAL equivalence; RANDOM operators; FUZZY logic; METRIC spaces; GROUP theory; FIXED point theory
- Publication
Miskolc Mathematical Notes, 2023, Vol 24, Issue 1, p325
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2023.3244