Tutuncu, Derya KeskinErtas, Nil OrhanTribak, Rachid2024-09-292024-09-2920170219-49881793-6829https://doi.org/10.1142/S0219498817501651https://hdl.handle.net/20.500.14619/6349We introduce and study the notion of w-Rickart modules (i.e. modules M such that for every nonzero endomorphism phi of M, the kernel of phi is contained in a proper direct summand of M). We show that the class of right w-Rickart modules lies properly between the class of right K-nonsingular modules and the class of right Rickart modules. Many properties of w-Rickart modules are established. Some relevant counterexamples are indicated.eninfo:eu-repo/semantics/closedAccessRickart modulesweak Rickart modulesweak Rickart ringsV-ringsArticle10.1142/S02194988175016512-s2.0-849902493599Q216WOS:000403431800005Q3