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- Title
On weak Rickart modules.
- Authors
Keskin Tütüncü, Derya; Orhan Ertaş, Nil; Tribak, Rachid
- Abstract
We introduce and study the notion of w-Rickart modules (i.e. modules such that for every nonzero endomorphism of , the kernel of is contained in a proper direct summand of ). We show that the class of right w-Rickart modules lies properly between the class of right -nonsingular modules and the class of right Rickart modules. Many properties of w-Rickart modules are established. Some relevant counterexamples are indicated.
- Subjects
MODULES (Algebra); ENDOMORPHISMS; RING theory; GROUP theory; MATHEMATICAL analysis
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817501651