Person: KARA ŞEN, YELİZ
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KARA ŞEN
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YELİZ
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Publication Π-Rickart rings(World Scientific Publ Co Pte, 2021-08-01) Birkenmeier, Gary F.; Tercan, Adnan; Kara, Yeliz; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-8001-6082In this paper, we introduce and investigate three new versions of the Rickart condition for rings. These conditions, as well as, three new corresponding regularities are defined using projection invariance. We show how these conditions relate to each other as well as their connections to the well-known Baer, Rickart, quasi-Baer, p.q.-Baer, regular, and biregular conditions. Applications to polynomial extensions and to triangular and full matrix rings are provided. Examples illustrate and delimit results.Publication Some properties of starlike functions subordinate to k-Pell-Lucas numbers(Springer, 2021-11-01) Altınkaya, Şahsene; Kara, Yeliz; Özkan, Yeşim Sağlam; KARA ŞEN, YELİZ; SAĞLAM ÖZKAN, YEŞİM; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-1364-5137; AAG-8304-2021; G-5333-2017In this current work, we introduce a subfamily of analytic functions endowed with k-Pell-Lucas numbers. The radius problems, basic geometric properties and general coefficient relations are obtained for the former class.Publication Basic applications of the q -derivative for a general subfamily of analytic functions subordinate to k -jacobsthal numbers(Univ Nis, 2022-01-01) Kara, Yeliz; Özkan, Yeşim Sağlam; SAĞLAM ÖZKAN, YEŞİM; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-7950-8450; 0000-0002-8001-6082; 0000-0002-1364-5137; G-5333-2017This research paper deals with some radius problems, the basic geometric properties, general coefficient and inclusion relations that are established for functions in a general subfamily of analytic functions subordinate to k-Jacobsthal numbers.Publication The π-extending property via singular quotient submodules(Kyungpook Natl Univ, Dept Mathematics, 2019-09-01) Tercan, Adnan; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-8001-6082; AAG-8304-2021A module is said to be pi-extending provided that every projection invariant submodule is essential in a direct summand of the module. In this article, we focus on the class of modules having the pi-extending property by looking at the singularity of quotient submodules. By doing so, we provide counterexamples, using hypersurfaces in projective spaces over complex numbers, to show that being generalized pi-extending is not inherited by direct summands. Moreover, it is shown that the direct sums of generalized pi-extending modules are generalized pi-extending.Publication Generalized extending modules via exchange and clean properties(Amer Mathematical Soc, 2019-01-01) Tercan, Adnan; Leroy, A; Lomp, C; LopezPermouth, S; Oggier, F; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; Leroy, A; Lomp, C; LopezPermouth, S; Oggier, F; 0000-0002-8001-6082; AAG-8304-2021A module is called extending or CS provided that every submodule is essential in a direct summand. There have been investigations of several generalized extending conditions in the literature. In this survey paper, we focus on the exchange property on some generalized extending modules. It is an open problem whether extending condition with exchange property implies cleanness or not. We mention some observations on the former problem to construct a counterexample as well as new type of open problems which are replaced by extending with generalized extending conditions.Publication Quasi-s.baer and related modules (vol 21, 2250051, 2021)(World Scientific Publ Co Pte Ltd, 2022-04-01) Birkenmeier, Gary F.; Tercan, Adnan; Kara, Yeliz; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-8001-6082Publication π-endo Baer modules(Taylor & Francis, 2020-03-03) Birkenmeier, Gary F.; Kara, Yeliz; Tercan, Adnan; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-8001-6082; AAG-8304-2021Let N be a submodule of a right R-module M-R, and Then N is said to be projection invariant in M, denoted by if for all We call M-R ?-endo Baer, denoted ?-e.Baer, if for each there exists such that where denotes the left annihilator of N in H. We show that this class of modules lies strictly between the classes of Baer and quasi-Baer modules introduced in 2004 by Rizvi and Roman. Several structural properties are developed. In contrast to the Baer modules of Rizvi and Roman, the free modules of a Baer ring are ?-e.Baer. Moreover, (co-) nonsingularity conditions are introduced which enable us to extend the Chatters-Khuri result (connecting the extending and Baer conditions in a ring) to modules. We provide examples to illustrate and delimit our results.Publication Modules whose h-closed submodules are direct summands(Southeast Asian Mathematical Soc-seams, 2020-01-01) Kara, Yeliz; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-8001-6082; AAG-8304-2021This paper is based on the class of modules whose h-closed submodules are direct summands. We introduce and investigate the structural properties for the former class of modules and we elaborate our results with lifting homomorphisms.Publication On weak projection invariant extending modules(Publ House Bulgarian Acad Sci, 2022-01-01) Kara, Yeliz; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-8001-6082; AAG-8304-2021We introduce the notion of weak pi-extending modules which is a proper generalization of pi-extending and weak CS-modules. Several characterizations and connections between weak pi-extending modules and related concepts are obtained. Direct sums and direct summand properties are also provided. Moreover, we investigate when the former class has an indecomposable decomposition and exchange properties.Publication A partial order on subsets of baer bimodules with applications to c*-modules(World Scientific Publ Co Pte Ltd, 2021-11-01) Birkenmeier, Gary F.; Kara, Yeliz; KARA ŞEN, YELİZ; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-8001-6082; AAG-8304-2021In this paper, we introduce the concept of Baer (p, q)-sets. Using this notion, we define Rickart, Baer, quasi-Baer and pi-Baer (S, R)-bimodules, respectively. We show how these conditions relate to each other. We also develop new properties of the minus binary relation, <=-, we extend the relation <=- to (S, R)-bimodules and use it to characterize the aforementioned Rickart, Baer, quasi-Baer, and pi-Baer (S,R)-bimodules. Moreover, we specify subsets kappa of the power set of a (S,R)-bimodule for which <=- determines a partial order and for which <=- is a lattice. We analyze the relation <=- by examining the associated Baer (p, q)-sets. Finally, we apply our results to C*-modules. Examples are provided to illustrate and delimit our results.