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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 16 Issue: 1

Approximately Gamma-Near Rings

Mustafa Uçkun(ADIYAMAN ÜNİVERSİTESİ)0000-0003-1813-5272
Mehmet Gürbüzcan(ADIYAMAN ÜNİVERSİTESİ)0000-0003-1007-1016
Pages
—
Publication Date
2024-06-30
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AI Summary & Key Takeaways

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

Also, some properties of approximately gamma-near ring and approximately gamma-ideal were given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The focus of this work is to introduce approximately gamma-near ring, approximately gamma-ideal and approximately gamma-near ring of all descriptive approximately cosets.
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Key Findings & Data:The focus of this work is to introduce approximately gamma-near ring, approximately gamma-ideal and approximately gamma-near ring of all descriptive approximately cosets.
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Conclusion & Impact:Also, some properties of approximately gamma-near ring and approximately gamma-ideal were given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Proximity space · relator space · near ring

Abstract

The focus of this work is to introduce approximately gamma-near ring, approximately gamma-ideal and approximately gamma-near ring of all descriptive approximately cosets. Also, some properties of approximately gamma-near ring and approximately gamma-ideal were given.

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Cite This Article

Uçkun, M., Gürbüzcan, M. (2024). Approximately Gamma-Near Rings. Turkish Journal of Mathematics and Computer Science, Volume: 16 Issue: 1. https://doi.org/10.47000/tjmcs.938957

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References (23)

  1. Barnes, W.E., On the Γ-rings of Nobusawa, Pacific J. Math., 18(1966), 411–422.
  2. Efremovic, V.A., Infinitesimal spaces, Doklady Akad. Nauk SSSR (N.S.) (Russian), 76(1951), 341–343.
  3. Efremovic, V.A., The geometry of proximity I, Mat. Sb. (N.S.) (Russian), 31(73)(1)(1952), 189–200.
  4. İnan, E., Approximately semigroups and ideals: An algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17(2017), 479–487.
  5. İnan, E., Approximately subgroups in proximal relator spaces, Adıyaman University Journal of Science, 8(1)(2018), 24–41.
  6. İnan, E., Approximately groups in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(1)(2019), 572–582.
  7. İnan, E., Uçkun, M., Approximately Γ-semigroups in proximal relator spaces, Applicable Algebra in Engineering Communication and Computing,30(4)(2019), 299–311.
  8. İnan, E., Approximately rings in proximal relator spaces, Turkish Journal of Mathematics, 43(6)(2019), 2941–2953.
  9. İnan, E., Kocamaz, A., Approximately near rings in proximal relator spaces, Fundamental Journal of Mathematics and Applications, 5(4)(2022), 245–256.
  10. Kovar, M., A new causal topology and why the universe is co-compact, arXiv:1112.0817 [math-ph], (2011), 1–15.
  11. Kyuno, S., On prime gamma rings, Pacific J. Math., 75(1)(1978), 185–190.
  12. Luh, J., On the theory of simple Γ-rings, Michigan Math. J., 16(1969), 65–75.
  13. Naimpally, S.A., Peters, J.F., Topology with Applications: Topological Spaces via Near and Far, World Scientific, 2013.
  14. Nobusawa, N., On a generalization of the ring theory, Osaka J. Math., 1(1964), 81–89.
  15. Peters, J.F., Near sets: An introduction, Math. Comput. Sci., 7(1)(2013), 3–9.
  16. Peters, J.F., Naimpally, S.A., Applications of near sets, Notices Amer. Math. Soc., 59(4)(2012), 536–542.
  17. Peters, J.F., Proximal relator spaces, Filomat, 30(2)(2016), 469–472.
  18. Peters, J.F., Öztürk, M.A., Uçkun, M., Exactness of proximal groupoid homomorphisms, Adıyaman University Journal of Science, 5(1)(2015), 1–13.
  19. Peters, J.F., İnan, E., Öztürk, M.A., Spatial and descriptive isometries in proximity spaces, Gen. Math. Notes, 21(2)(2014), 125–134.
  20. Pilz, G., Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, 1983.
  21. Satyanarayana, B., A note on Γ-near-rings, Indian J. Math., 41(3)(1999), 427–433.
  22. Szaz, A., Basic tools and mild continuities in relator spaces, Acta Math. Hungar., 50(3-4)(1987), 177–201.
  23. Uçkun, M., Approximately Γ-rings in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(2)(2019), 1780–1796.