Dergiler / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 1 Issue: 1

Nearness Gamma Rings

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Yayın Tarihi
2020-01-31
DOI
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Moreover, some properties of these structures were investigated.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, nearness $\Gamma$-rings were introduced.
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Temel Bulgular & Veri:Also, subnearness $\Gamma$-rings and nearness $\Gamma$-ideals were given.
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Sonuç & Katkı:Moreover, some properties of these structures were investigated.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nearness rings · $\Gamma$-rings · nearness $\Gamma$-rings

Abstract

In this paper, nearness $\Gamma$-rings were introduced. Also, subnearness $\Gamma$-rings and nearness $\Gamma$-ideals were given. Moreover, some properties of these structures were investigated.

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Bu Makaleye Atıf Yap

Uçkun, M., İnan, E., Erol, R. (2020). Nearness Gamma Rings. Fundamentals of Contemporary Mathematical Sciences, Volume: 1 Issue: 1. https://ajindex.com/articles/1486338

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Kaynakça (17)

  1. Barnes W.E., On the 􀀀-rings of Nobusawa, Pacific J. Math., 18, 411-422, 1966.
  2. Clifford A., Preston G., The Algebraic Theory of Semigroups I, Amer. Math. Soc., Providence, RI, Mathematical Surveys, 1961.
  3. İnan E., Öztürk M.A., Near groups in nearness approximation spaces, Hacet. J. Math. Stat., 41(4), 545–558, 2012.
  4. İnan E., Öztürk M.A., Erratum and notes for near groups on nearness approximation spaces, Hacet. J. Math. Stat., 43(2), 279–281, 2014.
  5. İnan E., Öztürk M.A., Near semigroups on nearness approximation spaces, Annals Fuzzy Math. Inform., 10(2), 287–297, 2015.
  6. Kyuno S., On prime gamma rings, Pacific J. Math., 75(1), 185–190, 1978.
  7. Luh J., On the theory of simple 􀀀-rings, Michigan Math. J., 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 J. Math., 1, 81–89, 1964.
  10. Öztürk M.A., İnan E., Nearness rings, Annals Fuzzy Math. Inform., 17(2), 115–131, 2019.
  11. Öztürk M.A., Uçkun M., İnan E., Near group of weak cosets on nearness approximation spaces, Fund. Inform., 133, 433–448, 2014.
  12. Peters J.F., Near sets: General theory about nearness of objects, Applied Math. Sci., 1(53-56), 2609– 2629, 2007.
  13. Peters J.F., Near sets: An introduction, Math. Comput. Sci., 7(1), 3–9, 2013.
  14. Peters J.F., Naimpally S.A., Applications of near sets, Notices Amer. Math. Soc., 59(4), 536–542, 2012.
  15. Pilz G., Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, Amsterdam, 1983.
  16. Skowron A., Stepaniuk J., Tolerance approximation spaces, Fund. Inform., 27(2-3), 245–253, 1996.
  17. Wolski M., Perception and classification: A note on near sets and rough sets, Fund. Inform., 101(1-2), 143–155, 2010.