Approximately Gamma-Near Rings
Year 2024,
Volume: 16 Issue: 1, 6 - 15, 30.06.2024
Mustafa Uçkun
,
Mehmet Gürbüzcan
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.
References
- 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.
Year 2024,
Volume: 16 Issue: 1, 6 - 15, 30.06.2024
Mustafa Uçkun
,
Mehmet Gürbüzcan
References
- 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.