Yazar "Eryilmaz, Figen" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • [ X ]
    Öğe
    ON A GENERALIZATION OF ?-CO-COATOMICALLY SUPPLEMENTED MODULES
    (Honam Mathematical Soc, 2023) Eryilmaz, Figen; Sozen, Esra Ozturk
    In this paper, we define circle plus delta-co-coatomically supplemented and co-coatomically 6-semiperfect modules as a strongly notion of circle plus-co-coatomically supplemented and co-coatomically semiperfect modules with the help of Zhou's radical. We say that a module A is circle plus delta-co-coatomically supplemented if each co-coatomic submodule of A has a 6-supplement in A which is a direct summand of A. And a module A is co-coatomically 6-semiperfect if each coatomic factor module of A has a projective 6-cover. Also we define co-coatomically amply 6-supplemented modules and we examined the basic properties of these modules. Further-more, we give a ring characterization for our modules. In particular, a ring R is 6-semiperfect if and only if each free R-module is co-coatomically 6-semiperfect.
  • [ X ]
    Öğe
    ON MODULE CLASSES OF GENERALIZED SEMIPERFECT MODULES
    (Inst Mathematics, As Cr, 2025) Sozen, Esra Ozturk; Eryilmaz, Figen; Turkmen, Burcu Nisanci
    We introduce Rad-cc-supplemented module which generalizes the general concept of co-coatomically-supplemented modules; a module W is Rad-cc-supplemented if each co-coatomic submodule of W has a Rad-supplement in W. In Section 2, we present various properties of these modules. In Section 3, we examine the characterization of modules over commutative domains. In Section 4, we explore the concept of (R)-Rad-cc-supplemented modules, which generalizes a generalized notion of (R)-co-coatomically-supplemented modules in R. Alizade, S. G & uuml;ng & ouml;r (2018). A module W is (R)-Rad-cc-supplemented if each co-coatomic A W is of a Rad-supplement which is a direct summand of W. In the concluding section of this paper, we investigate into its characteristics by introducing Rad-cc-semiperfect modules.