Person: KARA ŞEN, YELİZ
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KARA ŞEN
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YELİZ
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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; 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 Primitive and prime rings with s.baer or related modules(World Scientific Publ Co Pte Ltd, 2022-11-30) Birkenmeier, Gary F.; Tercan, Adnan; Kara, Yeliz; KARA ŞEN, YELİZ; Fen Edebiyat Fakültesi; Matematik Ana Bilim Dalı; 0000-0002-8001-6082In this paper, we characterize some classes of primitive or prime rings in terms of s.Baer, quasi-s.Baer, s.Rickart, or p.q.-s.Baer modules.Publication Π-Rickart rings(World Scientific Publ Co Pte, 2021-08-01) Birkenmeier, Gary F.; Tercan, Adnan; Kara, Yeliz; KARA ŞEN, YELİZ; 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 Modules whose h-closed submodules are direct summands(Southeast Asian Mathematical Soc-seams, 2020-01-01) Kara, Yeliz; KARA ŞEN, YELİZ; 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 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; 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.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; 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; Fen Edebiyat Fakültesi; Matematik Ana Bilim 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 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; Fen Edebiyat Fakültesi; Matematik Ana Bilim Dalı; 0000-0002-8001-6082Publication Quasi-s.baer and related modules(World Scientific Publ Co Pte Ltd, 2022-03-01) Birkenmeier, Gary F.; Tercan, Adnan; Kara, Yeliz; KARA ŞEN, YELİZ; 0000-0002-8001-6082In this paper, the s.Baer module concept and some of its generalizations (e.g. quasi-s.Baer, pi-s.Baer and p.q.-s.Baer) are developed. To this end, we characterize the class of rings for which every module is quasi-s.Baer as the class of rings which are finite direct sums of simple rings. Connections are made between the s.Baer (quasi-s.Baer, pi-s.Baer) and the extending (FI-extending, pi-extending) properties. We introduce the notions of quasi-nonsingularity (FI-s.nonsingular, pi-s.nonsingular) and M-cononsingular (FI-M-cononsingular, pi-M-cononsingular) to extend the Chatters-Khuri theorem from rings to modules satisfying s.Baer or related conditions. Moreover, we investigate the transfer of various Baer properties between a module and its ring of scalars. Conditions are found for which some classes of quasi-s.Baer modules coincide with some classes of p.q.-s.Baer modules. Further we show that the class of quasi-s.Baer (p.q.-s.Baer) modules is closed with respect to submodules, extensions, and finite (arbitrary) direct sums. Examples illustrate and delimit our results.Publication Strongly fully invariant-extending modular lattices(Taylor, 2021-01-20) Albu, Toma; Kara, Yeliz; Tercan, Adnan; KARA ŞEN, YELİZ; Fen Edebiyat Fakültesi; Matematik Bölümü; 0000-0002-8001-6082; AAG-8304-2021This paper is a natural continuation of our previous joint paper [Albu, Kara, Tercan, Fully invariant-extending modular lattices, and applications (I), J. Algebra 517 (2019), 207-222], where we introduced and investigated the notion of a fully invariant-extending lattice, the latticial counterpart of a fully invariant-extending module. In this paper we introduce and investigate the latticial counter-part of the concept of a strongly FI-extending module defined by Birkenmeier, Park, Rizvi (2002) as a module M having the property that every fully invariant submodule of M is essential in a fully invariant direct summand of M. Our main tool in doing so, is again the very useful concept of a linear morphism of lattices introduced in the literature by Albu and Iosif (2013).