Proksimal Relator Uzaylarında Yaklaşımlı Alt Gruplar
Bu makalede tanımsal proksimiti bağıntıları ile donatılmış dijital görüntülerde tanımsal yaklaşımlı alt grupların ve homomorfizmaların tanımlanması amaçlanmıştır. Ayrıca, soyut olmayan noktalar, yani dijital görüntülerdeki pikseller kullanılarak tanımlanan tanımsal yaklaşımlı gruplar üzerinde tanımsal yaklaşımlı kosetler, normal alt gruplar, tanımsal yaklaşımlı grupların homomorfizmaları ve homomorfizma teoremleri verilmiştir.
Approximately Subgroups in Proximal Relator Spaces
The focus of this article is on descriptive approximately subgroups and their homomorphismsin digital images endowed with descriptive proximity relations. Furthermore, descriptiveapproximately cosets, normal subgroups, homomorphisms of descriptive approximately groupsand homomorphism theorems on descriptive approximately groups were introduced using nonabstractpoints that is pixels in digital images.
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- Clifford, A. H., Preston, G. B., The Algebraic Theory of Semigroups, Amer. Math. Soc., Providence, R. I., 1964.
- Efremovic෬, V. A., Infinitesimal spaces, Doklady Akad. Nauk SSSR (N.S.) (Russian), 76, 341-343, 1951.
- Efremovic෬, V. A., The geometry of proximity I, Mat. Sb. (N.S.) (Russian), 31(73) (1), 189-200, 1952.
- İnan, E., Approximately groups in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68 (1), 572-582, 2019 (Available online: June 21, 2018).
- İnan, E., Approximately semigroups and ideals: An algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17, 479-487, 2017.
- Kovăr, M., A new causal topology and why the universe is co-compact, arXiv: 1112.0817[math-ph], 2011.
- Lodato, M., On topologically induced generalized proximity relations, Ph.D. thesis, Rutgers University, 1962.
- Naimpally, S. A., Peters, J. F., Topology with Applications. Topological Spaces via Near and Far, World Scientific, Singapore, 2013.
- Peters, J. F., Near sets: An introduction, Math. Comput. Sci., 7 (1), 3-9, 2013.
- Peters, J. F., Naimpally S. A., Applications of near sets, Notices Amer. Math. Soc., 59 (4), 536-542, 2012.
- Peters, J. F., Proximal relator spaces, Filomat, 30 (2), 469-472, 2016.
- Peters, J. F., Computational Proximity. Excursions in the Topology of Digital Images, Intelligent Systems Reference Library 102, Springer, 2016, DOI: 10.1007/978-3-319-30262-1.
- Peters, J. F., Öztürk, M. A., Uçkun, M., Klee-phelps convex groupoids, Math. Slovaca, 67 (2), 397-400, 2017.
- Peters, J. F., Öztürk, M. A., Uçkun, M., Exactness of Proximal Groupoid Homomorphisms, Adıyaman University Journal of Science, 5 (1), 1-13, 2015.
- Peters, J. F., İnan, E., Öztürk, M. A., Spatial and descriptive isometries in proximity spaces, Gen. Math. Notes, 21 (2), 125-134, 2014.
- Szaz, A., Basic tools and mild continuities in relator spaces, Acta Math. Hungar., 50 (3- 4), 177-201, 1987.
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2011
- Yayıncı: Adıyaman Üniversitesi