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    • Poor modules with no proper poor direct summands 

      Alizade, R.; Buyukasik, E.; Lopez Permouth, S.R.; Yang, L. (Journal of Algebra, 2018)
      As a mean to provide intrinsic characterizations of poor modules, the notion of a pauper module is introduced. A module is a pauper if it is poor and has no proper poor direct summand. We show that not all rings have pauper ...

    • Rings and modules characterized by opposites of injectivity 

      Alizade, R.; Buyukasik, E.; Er, N. (Journal of Algebra, 2014)
      In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-subinjective if every homomorphism N→M extends to some E(N)→M, where E(N) is the injective hull of N. Clearly, every module is subinjective ...