Yazar "Ozcan, Abdullah Fatih" seçeneğine göre listele

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    Actions of R-module groupoids
    (Univ Nis, Fac Sci Math, 2023) Ozcan, Abdullah Fatih; Icen, Ilhan
    Let R be a ring, 1R be the identity of ring R and N be an R-module on R. In this work, we are going to give a new definition that it is called an action of R-module groupoids. First, we are going to give the definition of the action of the R-module groupoids on the R-module N. Then we obtained a new category RMGpdOp(Omega) of actions of Omega on R-modules. We also find that there is a groupoid Omega (sic) N on N. Omega (sic) N is called action R-module groupoid. Finally, we prove that the category RMGpdOp(Omega) of actions of R-module groupoids is equivalent to RMGpdCov(Omega) of coverings of R-module groupoids.
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    Soft Sets and Soft Topology on Nearness Approximation Spaces
    (Univ Nis, Fac Sci Math, 2017) Tasbozan, Hatice; Icen, Ilhan; Bagirmaz, Nurettin; Ozcan, Abdullah Fatih
    Near set theory presents a fundamental basis for observation, comparison and classification of perceptual granules. Soft set theory is proposed as a general framework to model vagueness. The purpose of this paper is to combine these two theories in what are known near soft sets in defining near soft topology based on a nearness approximation space.