On module classes of generalized semiperfect modules
Esra Öztürk Sözen, Figen Eryilmaz, Burcu Nişanci Türkmen
Received May 17, 2024. Published online March 10, 2025.
Abstract: 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 $øplus$-Rad-cc-supplemented modules, which generalizes a generalized notion of $øplus$-co-coatomically-supplemented modules in R. Alizade, S. Güngör (2018). A module $W$ is $øplus$-Rad-cc-supplemented if each co-coatomic $A\leq W$ 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.
