Title of article :
On some radicals and proper classes associated to simple modules
Author/Authors :
crivei, septimiu babes-bolyai university - faculty of mathematics and computer science, Cluj-Napoca, Romania , tütüncü, derya keskin hacettepe university - department of mathematics, Ankara, Turkey
Abstract :
For a unitary right module M, there are two known partitions of simple modules in the category [M]: the first one divides them into M-injective modules and M-small modules, while the second one divides them into M-projective modules and M-singular modules. We study inclusions between the first two and the last two classes of simple modules in terms of some associated radicals and proper classes.
Keywords :
Radical , Proper class , Simple module , Relative supplement submodule , M , injective module , M , projective module , M , small module , M , singular module
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
