Yazar "Türkmen B.N." için listeleme
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A generalization of ?-cofinitely supplemented modules
Koşar B.; Türkmen B.N. (Iranian Mathematical Society, 2016)We say that a module M is a cms-module if, for every cofinite submodule N of M, there exist submodules K and K? of M such that K is a supplement of N, and K, K? are mutual supplements in M. In this article, the various ... -
Goldie ss-supplemented modules
Gömleksiz F.; Türkmen B.N. (MTJPAM Turkey, 2023)In this study, it has been determined the notion of Goldie ss-supplemented modules by the help of the relation (Formula Presented), which is defined in the form (Formula Presented), which provides conditions both of (Formula ... -
Modules that have a rad-supplement in every cofinite extension
Türkmen B.N. (2013)In this paper, we study modules with the properties (CRE) and (CREE), which are adapted Zöschinger's modules with the properties (E) and (EE). It is shown that: (1) a module M has the propery (CREE) if and only if every ... -
Modules that have a supplement in every coatomic extension
Türkmen B.N. (University of Miskolc, 2015)Let R be a ring and M be an R-module. M is said to be an E*-module (respectively, an EE*-module) if M has a supplement (respectively, ample supplements) in every coatomic extension N, i.e. N/M is coatomic. We prove that ... -
On a generalization of cofinitely lifting modules
Türkmen B.N. (Academic Press, 2014)In this paper, we study on cofinitely Rad-lifting modules as a proper generalization of modules with the property (P?) and cofinitely lifting modules, and we obtain the properties of these modules. In particular, we prove ... -
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-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 ... -
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 ...
