SavedAdd your journal

Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 8 - Sayı: 1

Approximately Subgroups in Proximal Relator Spaces

Proksimal Relator Uzaylarında Yaklaşımlı Alt Gruplar

Ebubekir İNAN
Pages
24–41
Publication Date
2022-10-12
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The focus of this article is on descriptive approximately subgroups and their homomorphismsin digital images endowed with descriptive proximity relations.
📊
Key Findings & Data:The focus of this article is on descriptive approximately subgroups and their homomorphismsin digital images endowed with descriptive proximity relations.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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.

Özet

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.

🔖

Cite This Article

İNAN, E. (2022). Approximately Subgroups in Proximal Relator Spaces. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 - Sayı: 1, 24–41. https://ajindex.com/articles/428502

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. 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.
  2. 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).
  3. 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.
  4. Lodato, M., On topologically induced generalized proximity relations, Ph.D. thesis, Rutgers University, 1962.
  5. Naimpally, S. A., Peters, J. F., Topology with Applications. Topological Spaces via Near and Far, World Scientific, Singapore, 2013.
  6. Peters, J. F., Near sets: An introduction, Math. Comput. Sci., 7 (1), 3-9, 2013.
  7. Peters, J. F., Naimpally S. A., Applications of near sets, Notices Amer. Math. Soc., 59 (4), 536-542, 2012.
  8. Peters, J. F., Proximal relator spaces, Filomat, 30 (2), 469-472, 2016.
  9. 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.
  10. Peters, J. F., Öztürk, M. A., Uçkun, M., Klee-phelps convex groupoids, Math. Slovaca, 67 (2), 397-400, 2017.
  11. Peters, J. F., Öztürk, M. A., Uçkun, M., Exactness of Proximal Groupoid Homomorphisms, Adıyaman University Journal of Science, 5 (1), 1-13, 2015.
  12. Peters, J. F., İnan, E., Öztürk, M. A., Spatial and descriptive isometries in proximity spaces, Gen. Math. Notes, 21 (2), 125-134, 2014.
  13. Szaz, A., Basic tools and mild continuities in relator spaces, Acta Math. Hungar., 50 (3- 4), 177-201, 1987.