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    On a New Type of Soft Topological Spaces via Soft Ideals
    (UNIV PUNJAB, DEPT MATHEMATICS, 2019) Yumak, Yunus; Kaymakci, Aynur Keskin
    Firstly, we give a definition called soft J-extremally disconnected space (briefly, S-(J) over tilde.E:D:S). Secondly, to obtain some characterizations of S-(J) over tilde.E:D:S we introduce the notion of soft weak regular-J-closed set. In addition, we give some properties of S-(J) over tilde.E:D:S. Finally, we give to coincidence some soft sets types in which is S-(J) over tilde.E:D:S
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    ON PARTIALLY TOPOLOGICAL GROUPS: EXTENSION CLOSED PROPERTIES
    (FORUM EDITRICE UNIV UDINESE, 2018) Kaymakci, Aynur Keskin; Othman, Wan Aunin Mior; Ozel, Cenap
    The partially (para)topological groups were defined in [9]. In this paper, we give more results in partially topological groups in the sense of H. Delfs and M. Knebusch and we prove extension closed property for connectedness, compactness, and separability of partially topological groups.
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    ON SOME SUBSETS OF SOFT SETS AND SOFT CONTINUITY VIA SOFT IDEALS
    (UNIV PRISHTINES, 2017) Yumak, Yunus; Kaymakci, Aynur Keskin
    Firstly, we introduce the notion called soft f((J) over tilde)-set in soft ideal topological spaces. Secondly, we obtain some properties of it. Then, by using related some notions we have two diagrams as Diagram I and Diagram III. We also introduce the notions of soft semi-(J) over tilde -regular, soft t((J) over tilde)-set and almost soft-(J) over tilde -open. Besides, we de fine the notion of soft f((J) over tilde)-continuity. Finally, we give a decomposition of soft R(J) over tildeC-continuity and obtain that restriction function for soft open sets both them is preserved.
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    ON STRONG beta-I-OPEN SETS AND DECOMPOSITIONS OF CONTINUITY IN IDEAL TOPOLOGICAL SPACES
    (UNIV PRISHTINES, 2017) Al Shumrani, M. A.; Ozel, Cenap; Kaymakci, Aynur Keskin
    In this paper, first we give some characterizations and properties of strong beta-I-open sets. Then, we obtain a decomposition of semi-I-closed sets by using strong beta-I-open sets and t-I-sets. In addition, we give decompositions of open sets in any extremally disconnected space and in any ideal topological space. Moreover, we define AK(I)-set and AK(I)*-set and give decompositions of continuity.
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    Soft Idealization of a Decomposition Theorem
    (UNIV NIS, FAC SCI MATH, 2016) Yumak, Yunus; Kaymakci, Aynur Keskin
    Firstly, we define a new set called soft regular-(I) over tilde -closed set in soft ideal topological spaces and obtain some properties of it. Secondly, to obtain a decomposition of continuity in these spaces, we introduce two notions of soft Hayashi-Samuels space and soft A((I) over tilde)-set. Finally, we give a decomposition of continuity in a domain Hayashi-Samuels space and in a range soft topological space.
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    Some New Regular Generalized Closed Sets in Ideal Topological Spaces
    (EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS, 2016) Karabiyiki, Umit; Kaymakci, Aynur Keskin
    We introduce the notions of saw-I-rg-closed sets and weakly-rg(I)-closed by using the notion of regular open sets. Further, we study the concept of saw-I-rg-closed sets and their relationships in ideal topological spaces by using these new notions. Furthermore, we introduce and examine some properties of alpha(I)-*-normal space.