Yazar "Icen, I." seçeneğine göre listele

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    Coverings and actions of structured Lie groupoids
    (Universitatii Al.I.Cuza din Iasi, 2016) Gursoy, M.H.; Icen, I.; Ozcan, A.F.
    In this work we deal with coverings and actions of Lie group-groupoids and Lie ring-groupoids being two sorts of the structured Lie groupoids. After we give definition of a structured Lie groupoid, we prove some characterizations of structured Lie groupoids. Then, we present the concept of covering of a structured Lie groupoid. As first main result of this work, we show that the category LSCov(M) of the smooth coverings of Lie group M is equivalent to the category SLGCov(π1M) of the coverings of structured Lie groupoid π1M, where it is assumed that π1M is a Lie group-groupoid, specially. Furthermore, we define an action of a structured Lie groupoid on a connected Lie structure. Finally, we show that the category SLGCov(G) of the coverings of a structured Lie groupoid G and the category SLGOp(G) of the actions of G on Lie structures (group or ring) are equivalent. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.
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    Isolation, cloning and sequence analysis of gene encoding the lactate dehydrogenase enzyme from Theileria parva
    (Wiley-Blackwell, 2011) Icen, I.; Celik, V.; Pelle, R.; Aytan, E.; Munzuroglu, O.; Geckil, H.
    [Abstract Not Available]
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    A new candidate for antitheilerial target: isolation, cloning and sequence analysis of gene encoding the enolase enzyme from Theileria parva
    (Wiley-Blackwell, 2011) Celik, V.; Icen, I.; Pelle, R.; Kurt, A. G.; Munzuroglu, O.; Geckil, H.
    [Abstract Not Available]
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    A New Concept in the Soft Theory: Soft Groupoids
    (Southeast Asian Mathematical Soc-Seams, 2020) Oguz, G.; Icen, I.; Gursoy, M. H.
    This article is based on the introduction of the soft groupoid concept. Soft groupoid which is defined as a new concept is exemplified and some important properties of it are studied. Subsequently, the relationship between soft groupoid and soft category is examined in detail. Morever, the category of soft groupoids is constructed. Finally, the concepts of soft subgroupoid and normal soft subgroupoid are described and some characterizations related to them are presented.
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    On s-Sheaves
    (Centre Environment Social & Economic Research Publ-Ceser, 2017) Oguz, G.; Icen, I.; Gursoy, M. H.
    In this study, we investigate the interaction of sheaves and groupoids. More precisely, we study the interaction between the local equivalence relations and local subgroupoids. A local equivalence relation on a topological space X is a global section of the sheaf of germs of equivalence relations on X. In the light of this definition, the concept of a local subgroupoid of a topological groupoid G is a global section of a certain sheaf of subgroupoid associated to G. It is also an introduction to the notions of r-sheaves and s-sheaves introduced by Icen (Icen, 2000).
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    Topological ring-groupoids and liftings
    (Shiraz Univ, 2006) Ozcan, A. Fatih; Icen, I.; Gursoy, M. Habil
    We prove that the set of homotopy classes of the paths in a topological ring is a topological ring object (called topological ring-groupoid). Let p : (X) over bar -> X be a covering map and let X be a topological ring. We define a category. UTRCov(X) of coverings of X in which both X and have universal coverings, and a category UTRGdCov(pi X-1) of coverings of topological ring-groupoid pi X-1, in which X and (R) over bar (0) = (X) over bar have universal coverings, and then prove the equivalence of these categories. We also prove that the topological ring structure of a topological ring-groupoid lifts to a universal topological covering groupoid.