Yazar "Turkmen, Burcu Nisanci" için listeleme
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MODULES THAT HAVE A RAD-SUPPLEMENT IN EVERY COFINITE EXTENSION
Turkmen, Burcu Nisanci (UNIV MISKOLC INST MATH, 2013)In this paper, we study modules with the properties (CRE) and (CREE), which are adapted Zoschinger'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
Turkmen, Burcu Nisanci (UNIV MISKOLC INST MATH, 2015)et 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 if ... -
Modules which have a rad-supplement that is a direct summand in every extension
Turkmen, Burcu Nisanci; Turkmen, Ergul (LUHANSK TARAS SHEVCHENKO NATL UNIV, 2018)In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Had-supplementing if and only ... -
MODULES WITH THE PROPERTY Radg
Eryilmaz, Figen; Turkmen, Burcu Nisanci (Editura Bibliotheca-Bibliotheca Publ House, 2022)In this article, we introduce modules with the property Rad(g) and provide various properties of this module. Firstly, we prove that every semisimple module has the property Rad(g). We also indicate that the class of modules ... -
On a class of Harada rings
Turkmen, Burcu Nisanci; Demirci, Yilmaz Mehmet (De Gruyter Poland Sp Z O O, 2022)In this study, inspired by the definition and a previous study [F. Eryilmaz, SS -lifting modules and rings, Miskolc Math. Notes 22 (2021), no. 2, 655-662], left Harada rings are adapted to ss-Harada rings, and the important ... -
ON A NEW VARIATION OF INJECTIVE MODULES
Pancar, Ali; Turkmen, Burcu Nisanci; Nebiyev, Celil; Turkmen, Ergul (ANKARA UNIV, FAC SCI, 2019)In this paper, we provide various properties of GE and GEE-modules, a new variation of injective modules. We call M a GE-module if it has a g-supplement in every extension N and, we call also M a GEE-module if it has ample ... -
ON GENERALIZATIONS OF INJECTIVE MODULES
Turkmen, Burcu Nisanci (PUBLICATIONS L INSTITUT MATHEMATIQUE MATEMATICKI, 2016)As a proper generalization of injective modules in term of supplements, we say that a module M has the property (SE) (respectively, the property (SSE)) if, whenever M subset of N, M has a supplement that is a direct summand ... -
On rings with one middle class of injectivity domains
Alizade, Rafail; Demirci, Yilmaz Mehmet; Turkmen, Burcu Nisanci; Turkmen, Ergul (Univ Osijek, Dept Mathematics, 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 ... -
Spectrum of Zariski Topology in Multiplication Krasner Hypermodules
Turkmen, Ergul; Turkmen, Burcu Nisanci; Kulak, Oznur (Mdpi, 2023)In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings. In particular, we examine the spectrum of the Zariski topology, ... -
SS-Discrete Modules
Turkmen, Burcu Nisanci; Eryilmaz, Figen (Univ Nis, Fac Sci Math, 2021)In this paper, we define (strongly) ss-discrete, semi-ss-discrete and quasi-ss-discrete modules as a strongly notion of (strongly) discrete, semi-discrete and quasi-discrete modules with the help of ss-supplements in [3]. ... -
Supplements Related to Normal ?-Projective Hypermodules
Turkmen, Burcu Nisanci; Bordbar, Hashem; Cristea, Irina (Mdpi, 2022)In this study, the role of supplements in Krasner hypermodules is examined and related to normal pi-projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients. ... -
t-Extending Krasner Hypermodules
Turkmen, Burcu Nisanci (Soc Paranaense Matematica, 2022)Let M be a hypermodule over a hyperring R such that the intersection of any two subhypermodules of M is a subhypermodule of M. We introduce the concept of a t-essential subhypermodule in M relative to an arbitrary ...
