TR-Dizin İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://gcris.yasar.edu.tr/handle/123456789/11291
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Browsing TR-Dizin İndeksli Yayınlar Koleksiyonu by WoS Q "Q2"
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Article On generalized derivations of incline algebras(Hacettepe Univ, FAC Sci, 2014) ŞULE AYAR ÖZBAL; Alev FİRAT; Ozbal, Sule Ayar; Firat, AlevIn this paper as a generalization of derivation of an incline algebra thenotion of generalized derivation in an incline algebra is introduced andsome of its properties are investigated in an incline and integral inclinealgebra.Article Citation - WoS: 24Citation - Scopus: 28Rough approximations based on different topologies via ideals(Tubitak Scientific & Technological Research Council Turkey, 2022-01-01) Esra Dalan Yıldırım; Aysegul Caksu Guler; Oya Ozbakir; Yildirim, Esra Dalan; Guler, Aysegul Caksu; Ozbakir, Oya BedreIn this paper we generalize the notations of rough sets based on the topological space. Firstly we produce\rvarious topologies by using the concept of ideal $C_j$ -neighbourhoods and $P_j$ -neighbourhoods. When we compare these topologies with previous topologies we see that these topologies are more general. Then we introduce new methods\rto find the approximations by using these generated topologies. When we compare these methods with the previous\rmethods we see that these methods are more accurate.Article Citation - WoS: 3Citation - Scopus: 3Small supplements weak supplements and proper classes(Hacettepe Univ, FAC Sci, 2016-01-01) Engin BÜYÜKAŞIK; Rafail ALİZADE; Yılmaz DUR?GUN; Buyukasik, Engin; Durgun, Yilmaz; Alizade, Rafail; Dur?gun, YılmazLet SS denote the class of short exact sequences E :0 ->, A->, B ->,C ->, 0 of R-modules and R-module homomorphisms such that f (A)has a small supplement in B i.e. there exists a submodule K of M suchthat f (A) + K = B and f (A) ? K is a small module. It is shown that SS is a proper class over left hereditary rings. Moreover in this case the proper classSS coincides with the smallest proper class containing the class of short exact sequences determined by weak supplementsubmodules. The homological objects such as SS-projective and SScoinjective modules are investigated. In order to describe the classSS we investigate small supplemented modules i.e. the modules each ofwhose submodule has a small supplement. Besides proving some closure properties of small supplemented modules we also give a completecharacterization of these modules over Dedekind domainsArticle Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces(HACETTEPE UNIV FAC SCI, 2015-01-01) Ahmet Yantir; Duygu Soyoglu; Yantir, Ahmet; Soyoglu, DuyguIn this article we prove an existence theorem regarding the weak solutions to the hyperbolic-type partial dynamic equation z(Gamma Delta)(x y) = f(x y z(x y)) x(x 0) = 0 z(0 y) = 0 x is an element of T-1 y is an element of T-2 in Banach spaces. For this purpose by generalizing the definitions and results of Cichon et. al. we develop weak partial derivatives double integrability and the mean value results for double integrals on time scales. DeBlasi measure of weak noncompactness and Kubiaczyk's fixed point theorem for the weakly sequentially continuous mappings are the essential tools to prove the main result.

