SavedAdd your journal

Journals / Fundamentals of Contemporary Mathematical Sciences / 2022 / Cilt: 3 - Sayı: 1

Nearness Gamma-Near Rings

Baki ÇOKAKOĞLU
Mustafa UÇKUN
Pages
46–56
Publication Date
2022-01-30
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)

Moreover, some properties of these structures are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is to introduce nearness Γ-near ring, nearness Γ-subnear ring and nearness Γ-ideal.
📊
Key Findings & Data:The aim of this study is to introduce nearness Γ-near ring, nearness Γ-subnear ring and nearness Γ-ideal.
💡
Conclusion & Impact:Moreover, some properties of these structures are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nearness ring · nearness $\Gamma$-near-ring · nearness $\Gamma$-ideal

Abstract

The aim of this study is to introduce nearness Γ-near ring, nearness Γ-subnear ring and nearness Γ-ideal. Moreover, some properties of these structures are investigated.

🔖

Cite This Article

ÇOKAKOĞLU, B., UÇKUN, M. (2022). Nearness Gamma-Near Rings. Fundamentals of Contemporary Mathematical Sciences, Cilt: 3 - Sayı: 1, 46–56. https://ajindex.com/articles/759346

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (21)

  1. Barnes W.E., On the Γ-rings of Nobusawa, Pacific Journal of Mathematics, 18, 411-422, 1966.
  2. Clifford A., Preston G., The Algebraic Theory of Semigroups I. American Mathematical Society Mathematical Surveys. Providence, RI, USA: American Mathematical Society, 1961.
  3. İnan E., Öztürk M.A., Near groups in nearness approximation spaces, Hacettepe Journal of Mathematics and Statistics, 41(4), 545-558, 2012.
  4. İnan E., Öztürk M.A., Erratum and notes for near groups on nearness approximation spaces, Hacettepe Journal of Mathematics and Statistics, 43(2), 279-281, 2014.
  5. İnan E., Öztürk M.A., Near semigroups on nearness approximation spaces, Annals of Fuzzy Mathematics and Informatics, 10(2), 287-297, 2015.
  6. Kyuno S., On prime gamma rings, Pacific Journal of Mathematics, 75(1), 185-190, 1978.
  7. Luh J., On the theory of simple Γ-rings, Michigan Mathematical Journal, 16, 65-75, 1969.
  8. Naimpally S.A., Peters J.F., Topology with Applications: Topological Spaces via Near and Far, World Scientific, 2013.
  9. Nobusawa N., On a generalization of the ring theory, Osaka Journal of Mathematics, 1, 81-89, 1964.
  10. Öztürk M.A., İnan E., Nearness rings, Annals of Fuzzy Mathematics and Informatics, 17(2), 115-131, 2019.
  11. Öztürk M.A., Uçkun M., İnan E., Near group of weak cosets on nearness approximation spaces, Fundamenta Informaticae, 133, 433-448, 2014.
  12. Peters J.F., Near sets: General theory about nearness of objects, Applied Mathematical Sciences, 1(53-56), 2609-2629, 2007.
  13. Peters J.F., Near sets: An introduction, Mathematics in Computer Science, 7(1), 3-9, 2013.
  14. Peters J.F., Naimpally S.A., Applications of near sets, Notices of the American Mathematical Society, 59(4), 536-542, 2012.
  15. Pilz G., Near-Rings: The Theory and Its Applications, North-Holland Publishing Company, 1983.
  16. Satyanarayana B., A note on Γ-near-rings, Indian Journal of Mathematics, 41(3), 427-433, 1999.
  17. Skowron A., Stepaniuk J., Tolerance approximation spaces, Fundamenta Informaticae, 27(2-3), 245- 253, 1996.
  18. Uçkun M., Genç A., Near-rings on nearness approximation spaces, Turkish Journal of Mathematics, 45, 549-565, 2021.
  19. Uçkun M., İnan E., Erol R., Nearness Γ-rings, Fundamentals of Contemporary Mathematical Sciences, 1(1), 37-48, 2020.
  20. Wolski M., Perception and classification: A note on near sets and rough sets, Fundamenta Informaticae, 101(1-2), 143-155, 2010.
  21. Zassenhaus H., Über endliche fastkörper, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 11, 187-220, 1935/1936.