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Nearness Gamma Rings

Yıl 2020, Cilt: 1 Sayı: 1, 37 - 48, 31.01.2020

Öz

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.

Kaynakça

  • Barnes W.E., On the 􀀀-rings of Nobusawa, Pacific J. Math., 18, 411-422, 1966.
  • Clifford A., Preston G., The Algebraic Theory of Semigroups I, Amer. Math. Soc., Providence, RI, Mathematical Surveys, 1961.
  • İnan E., Öztürk M.A., Near groups in nearness approximation spaces, Hacet. J. Math. Stat., 41(4), 545–558, 2012.
  • İnan E., Öztürk M.A., Erratum and notes for near groups on nearness approximation spaces, Hacet. J. Math. Stat., 43(2), 279–281, 2014.
  • İnan E., Öztürk M.A., Near semigroups on nearness approximation spaces, Annals Fuzzy Math. Inform., 10(2), 287–297, 2015.
  • Kyuno S., On prime gamma rings, Pacific J. Math., 75(1), 185–190, 1978.
  • Luh J., On the theory of simple 􀀀-rings, Michigan Math. J., 16, 65-75, 1969.
  • Naimpally S.A., Peters J.F., Topology with Applications, Topological Spaces via Near and Far, World Scientific, 2013.
  • Nobusawa N., On a generalization of the ring theory, Osaka J. Math., 1, 81–89, 1964.
  • Öztürk M.A., İnan E., Nearness rings, Annals Fuzzy Math. Inform., 17(2), 115–131, 2019.
  • Öztürk M.A., Uçkun M., İnan E., Near group of weak cosets on nearness approximation spaces, Fund. Inform., 133, 433–448, 2014.
  • Peters J.F., Near sets: General theory about nearness of objects, Applied Math. Sci., 1(53-56), 2609– 2629, 2007.
  • 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.
  • Pilz G., Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, Amsterdam, 1983.
  • Skowron A., Stepaniuk J., Tolerance approximation spaces, Fund. Inform., 27(2-3), 245–253, 1996.
  • Wolski M., Perception and classification: A note on near sets and rough sets, Fund. Inform., 101(1-2), 143–155, 2010.
Yıl 2020, Cilt: 1 Sayı: 1, 37 - 48, 31.01.2020

Öz

Kaynakça

  • Barnes W.E., On the 􀀀-rings of Nobusawa, Pacific J. Math., 18, 411-422, 1966.
  • Clifford A., Preston G., The Algebraic Theory of Semigroups I, Amer. Math. Soc., Providence, RI, Mathematical Surveys, 1961.
  • İnan E., Öztürk M.A., Near groups in nearness approximation spaces, Hacet. J. Math. Stat., 41(4), 545–558, 2012.
  • İnan E., Öztürk M.A., Erratum and notes for near groups on nearness approximation spaces, Hacet. J. Math. Stat., 43(2), 279–281, 2014.
  • İnan E., Öztürk M.A., Near semigroups on nearness approximation spaces, Annals Fuzzy Math. Inform., 10(2), 287–297, 2015.
  • Kyuno S., On prime gamma rings, Pacific J. Math., 75(1), 185–190, 1978.
  • Luh J., On the theory of simple 􀀀-rings, Michigan Math. J., 16, 65-75, 1969.
  • Naimpally S.A., Peters J.F., Topology with Applications, Topological Spaces via Near and Far, World Scientific, 2013.
  • Nobusawa N., On a generalization of the ring theory, Osaka J. Math., 1, 81–89, 1964.
  • Öztürk M.A., İnan E., Nearness rings, Annals Fuzzy Math. Inform., 17(2), 115–131, 2019.
  • Öztürk M.A., Uçkun M., İnan E., Near group of weak cosets on nearness approximation spaces, Fund. Inform., 133, 433–448, 2014.
  • Peters J.F., Near sets: General theory about nearness of objects, Applied Math. Sci., 1(53-56), 2609– 2629, 2007.
  • 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.
  • Pilz G., Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, Amsterdam, 1983.
  • Skowron A., Stepaniuk J., Tolerance approximation spaces, Fund. Inform., 27(2-3), 245–253, 1996.
  • Wolski M., Perception and classification: A note on near sets and rough sets, Fund. Inform., 101(1-2), 143–155, 2010.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Articles
Yazarlar

Mustafa Uçkun 0000-0003-1813-5272

Ebubekir İnan 0000-0002-7269-8941

Ramazan Erol 0000-0002-1932-0296

Yayımlanma Tarihi 31 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 1 Sayı: 1

Kaynak Göster

19113 FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.