Yazar "Türkmen E." için listeleme
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On a generalization of weakly supplemented modules
Türkmen B.N.; Türkmen E. (Sciendo, 2017)In this paper, over an arbitrary ring we define the notion of weakly radical supplemented modules (or briefly wrs-module), which is adapted from Zöschinger’s radical supplemented modules over a discrete valuation ring ... -
On rings with one middle class of injectivity domains
Alizade R.; Demirci Y.M.; Türkmen B.N.; Türkmen E. (Udruga Matematicara Osijek, 2022)A module M is said to be modest if the injectivity domain of M is the class of all crumbling modules. In this paper, we investigate the basic properties of modest modules. We provide characterizations of some classes of ... -
Rad-?-supplemented modules
Türkmen E. (Ovidius University, 2013)In this paper we provide various properties of Rad-?-supplemented modules. In particular, we prove that a projective module M is Rad- ?-supplemented if and only if M is ?-supplemented, and then we show that a commutative ... -
Rad-Discrete Modules
Türkmen B.N.; Ökten H.H.; Türkmen E. (Springer, 2021)We introduce Rad-discrete and quasi-Rad-discrete modules as a proper generalization of (quasi) discrete modules, and provide various properties of these modules. We prove that a direct summand of a (quasi) Rad-discrete ... -
Some properties of Rad-Supplemented modules
Türkmen E.; Pancar A. (2011)No doubt, a notion of the Rad-supplemented modules can constitute a very important situation in the module theory, because of a generalization of the notion of supplemented modules. Therefore, our work presents a key role ... -
Strongly injective modules
Türkmen E.; Türkmen B.N. (Springer-Verlag Italia s.r.l., 2021)Let R be a ring with identity and M be a left R-module. The module M is called strongly injective if whenever M+ K= N with M? N, there exists a submodule K? of K such that M?K?=N. In this paper, we provide the various ... -
Strongly radical supplemented modules
Büyükaşık E.; Türkmen E. (2012)Zöschinger studied modules whose radicals have supplements and called these modules radical supplemented. Motivated by this, we call a module strongly radical supplemented (briefly srs) if every submodule containing the ...