Araştırma Makalesi
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Approximately Gamma-Near Rings

Yıl 2024, Cilt: 16 Sayı: 1, 6 - 15, 30.06.2024
https://doi.org/10.47000/tjmcs.938957

Öz

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.

Kaynakça

  • Barnes, W.E., On the Γ-rings of Nobusawa, Pacific J. Math., 18(1966), 411–422.
  • Efremovic, V.A., Infinitesimal spaces, Doklady Akad. Nauk SSSR (N.S.) (Russian), 76(1951), 341–343.
  • Efremovic, V.A., The geometry of proximity I, Mat. Sb. (N.S.) (Russian), 31(73)(1)(1952), 189–200.
  • İnan, E., Approximately semigroups and ideals: An algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17(2017), 479–487.
  • İnan, E., Approximately subgroups in proximal relator spaces, Adıyaman University Journal of Science, 8(1)(2018), 24–41.
  • İnan, E., Approximately groups in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(1)(2019), 572–582.
  • İnan, E., Uçkun, M., Approximately Γ-semigroups in proximal relator spaces, Applicable Algebra in Engineering Communication and Computing,30(4)(2019), 299–311.
  • İnan, E., Approximately rings in proximal relator spaces, Turkish Journal of Mathematics, 43(6)(2019), 2941–2953.
  • İnan, E., Kocamaz, A., Approximately near rings in proximal relator spaces, Fundamental Journal of Mathematics and Applications, 5(4)(2022), 245–256.
  • Kovar, M., A new causal topology and why the universe is co-compact, arXiv:1112.0817 [math-ph], (2011), 1–15.
  • Kyuno, S., On prime gamma rings, Pacific J. Math., 75(1)(1978), 185–190.
  • Luh, J., On the theory of simple Γ-rings, Michigan Math. J., 16(1969), 65–75.
  • 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(1964), 81–89.
  • Peters, J.F., Near sets: An introduction, Math. Comput. Sci., 7(1)(2013), 3–9.
  • Peters, J.F., Naimpally, S.A., Applications of near sets, Notices Amer. Math. Soc., 59(4)(2012), 536–542.
  • Peters, J.F., Proximal relator spaces, Filomat, 30(2)(2016), 469–472.
  • Peters, J.F., Öztürk, M.A., Uçkun, M., Exactness of proximal groupoid homomorphisms, Adıyaman University Journal of Science, 5(1)(2015), 1–13.
  • Peters, J.F., İnan, E., Öztürk, M.A., Spatial and descriptive isometries in proximity spaces, Gen. Math. Notes, 21(2)(2014), 125–134.
  • Pilz, G., Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, 1983.
  • Satyanarayana, B., A note on Γ-near-rings, Indian J. Math., 41(3)(1999), 427–433.
  • Szaz, A., Basic tools and mild continuities in relator spaces, Acta Math. Hungar., 50(3-4)(1987), 177–201.
  • Uçkun, M., Approximately Γ-rings in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(2)(2019), 1780–1796.
Yıl 2024, Cilt: 16 Sayı: 1, 6 - 15, 30.06.2024
https://doi.org/10.47000/tjmcs.938957

Öz

Kaynakça

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

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Mustafa Uçkun 0000-0003-1813-5272

Mehmet Gürbüzcan Bu kişi benim 0000-0003-1007-1016

Yayımlanma Tarihi 30 Haziran 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 16 Sayı: 1

Kaynak Göster

APA Uçkun, M., & Gürbüzcan, M. (2024). Approximately Gamma-Near Rings. Turkish Journal of Mathematics and Computer Science, 16(1), 6-15. https://doi.org/10.47000/tjmcs.938957
AMA Uçkun M, Gürbüzcan M. Approximately Gamma-Near Rings. TJMCS. Haziran 2024;16(1):6-15. doi:10.47000/tjmcs.938957
Chicago Uçkun, Mustafa, ve Mehmet Gürbüzcan. “Approximately Gamma-Near Rings”. Turkish Journal of Mathematics and Computer Science 16, sy. 1 (Haziran 2024): 6-15. https://doi.org/10.47000/tjmcs.938957.
EndNote Uçkun M, Gürbüzcan M (01 Haziran 2024) Approximately Gamma-Near Rings. Turkish Journal of Mathematics and Computer Science 16 1 6–15.
IEEE M. Uçkun ve M. Gürbüzcan, “Approximately Gamma-Near Rings”, TJMCS, c. 16, sy. 1, ss. 6–15, 2024, doi: 10.47000/tjmcs.938957.
ISNAD Uçkun, Mustafa - Gürbüzcan, Mehmet. “Approximately Gamma-Near Rings”. Turkish Journal of Mathematics and Computer Science 16/1 (Haziran 2024), 6-15. https://doi.org/10.47000/tjmcs.938957.
JAMA Uçkun M, Gürbüzcan M. Approximately Gamma-Near Rings. TJMCS. 2024;16:6–15.
MLA Uçkun, Mustafa ve Mehmet Gürbüzcan. “Approximately Gamma-Near Rings”. Turkish Journal of Mathematics and Computer Science, c. 16, sy. 1, 2024, ss. 6-15, doi:10.47000/tjmcs.938957.
Vancouver Uçkun M, Gürbüzcan M. Approximately Gamma-Near Rings. TJMCS. 2024;16(1):6-15.