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    On dual rickart modules and weak dual rickart modules
    (Lugansk Taras Shevchenko National University, 2018) Keskin, Tütüncü, D.; Orhan, Ertas, N.; Tribak, R.
    Let R be a ring. A right R-module M is called d-Rickart if for every endomorphism ? of M, ?(M) is a direct summand of M and it is called wd-Rickart if for every nonzero endomorphism ? of M, ?(M) contains a nonzero direct summand of M. We begin with some basic properties of (w)d-Rickart modules. Then we study direct sums of (w)d-Rickart modules and the class of rings for which every finitely generated module is (w)d-Rickart. We conclude by some structure results. © Journal “Algebra and Discrete Mathematics”.