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Approximately Near Rings in Proximal Relator Spaces

Yıl 2022, Cilt: 5 Sayı: 4, 245 - 256, 01.12.2022
https://doi.org/10.33401/fujma.1117103

Öz

The motivation of this article is to define approximately near rings, some types of approximately near rings, approximately $N$-groups, approximately ideals, and approximately near rings of all descriptive approximately cosets. Moreover, some properties of these approximately algebraic structures are given. Furthermore, approximately near-ring homomorphisms are introduced and their some properties are investigated.

Kaynakça

  • [1] V. A. Efremovi˘c, The geometry of proximity I., Mat. Sb. (N.S.), 31 73(1) (1952), 189-200.
  • [2] M. Lodato, On Topologically Induced Generalized Proximity Relations, Ph.D. Thesis, Rutgers University 1962.
  • [3] J. F. Peters, Proximal relator spaces, Filomat, 30 (2) (2019), 469-472.
  • [4] E. İnan, Approximately groups in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68 (1) (2019), 572-582.
  • [5] E. İnan, Approximately semigroups and ideals: An algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17 (2017), 479-487.
  • [6] E. İnan, Approximately subgroups in proximal relator spaces, Adıyaman University Journal of Science, 8 (1) (2018), 24-41.
  • [7] E. İnan, Approximately rings in proximal relator spaces, Turkish J. Math., 43 (2019) 2941-2953.
  • [8] E. İnan, M. Uçkun, Approximately G-semigroups in proximal relator spaces, Appl. Algebra Engrg. Comm. Comput., 30 (4) (2019), 299-311.
  • [9] G. Pilz, Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, Amsterdam, 1983.
  • [10] J. F. Peters, Near sets: An introduction, Math. Comput. Sci., 7 (1) (2013), 3-9.
  • [11] J. F. Peters, E. inan , M. A. Öztürk, Spatial and descriptive isometries in proximity spaces, General Mathematics Notes, 21 (2) (2014), 1-10.
  • [12] M. Kov˘ar, A new causal topology and why the universe is co-compact, (2011), 1-15, arXiv:1112.0817 [math-ph].
  • [13] S. A. Naimpally, J. F. Peters, Topology with Applications: Topological Spaces via Near and Far, World Scientific, Singapore, 2013.
  • [14] J. F. Peters, M. A. O¨ ztu¨rk, M. Uc¸kun, Exactness of Proximal Groupoid Homomorphisms, Adıyaman University Journal of Science, 5 (1) (2015), 1-13.
  • [15] A. Clifford, G. Preston, The Algebraic Theory of Semigroups I, Amer. Math. Soc., Providence, RI, Mathematical Surveys (1961).
Yıl 2022, Cilt: 5 Sayı: 4, 245 - 256, 01.12.2022
https://doi.org/10.33401/fujma.1117103

Öz

Kaynakça

  • [1] V. A. Efremovi˘c, The geometry of proximity I., Mat. Sb. (N.S.), 31 73(1) (1952), 189-200.
  • [2] M. Lodato, On Topologically Induced Generalized Proximity Relations, Ph.D. Thesis, Rutgers University 1962.
  • [3] J. F. Peters, Proximal relator spaces, Filomat, 30 (2) (2019), 469-472.
  • [4] E. İnan, Approximately groups in proximal relator spaces, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68 (1) (2019), 572-582.
  • [5] E. İnan, Approximately semigroups and ideals: An algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17 (2017), 479-487.
  • [6] E. İnan, Approximately subgroups in proximal relator spaces, Adıyaman University Journal of Science, 8 (1) (2018), 24-41.
  • [7] E. İnan, Approximately rings in proximal relator spaces, Turkish J. Math., 43 (2019) 2941-2953.
  • [8] E. İnan, M. Uçkun, Approximately G-semigroups in proximal relator spaces, Appl. Algebra Engrg. Comm. Comput., 30 (4) (2019), 299-311.
  • [9] G. Pilz, Near-Rings: The Theory and Its Applications, 2nd Ed., North-Holland Publishing Company, Amsterdam, 1983.
  • [10] J. F. Peters, Near sets: An introduction, Math. Comput. Sci., 7 (1) (2013), 3-9.
  • [11] J. F. Peters, E. inan , M. A. Öztürk, Spatial and descriptive isometries in proximity spaces, General Mathematics Notes, 21 (2) (2014), 1-10.
  • [12] M. Kov˘ar, A new causal topology and why the universe is co-compact, (2011), 1-15, arXiv:1112.0817 [math-ph].
  • [13] S. A. Naimpally, J. F. Peters, Topology with Applications: Topological Spaces via Near and Far, World Scientific, Singapore, 2013.
  • [14] J. F. Peters, M. A. O¨ ztu¨rk, M. Uc¸kun, Exactness of Proximal Groupoid Homomorphisms, Adıyaman University Journal of Science, 5 (1) (2015), 1-13.
  • [15] A. Clifford, G. Preston, The Algebraic Theory of Semigroups I, Amer. Math. Soc., Providence, RI, Mathematical Surveys (1961).
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Ebubekir İnan 0000-0002-7269-8941

Ayşegül Kocamaz 0000-0001-8836-5511

Yayımlanma Tarihi 1 Aralık 2022
Gönderilme Tarihi 15 Mayıs 2022
Kabul Tarihi 19 Ekim 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 5 Sayı: 4

Kaynak Göster

APA İnan, E., & Kocamaz, A. (2022). Approximately Near Rings in Proximal Relator Spaces. Fundamental Journal of Mathematics and Applications, 5(4), 245-256. https://doi.org/10.33401/fujma.1117103
AMA İnan E, Kocamaz A. Approximately Near Rings in Proximal Relator Spaces. Fundam. J. Math. Appl. Aralık 2022;5(4):245-256. doi:10.33401/fujma.1117103
Chicago İnan, Ebubekir, ve Ayşegül Kocamaz. “Approximately Near Rings in Proximal Relator Spaces”. Fundamental Journal of Mathematics and Applications 5, sy. 4 (Aralık 2022): 245-56. https://doi.org/10.33401/fujma.1117103.
EndNote İnan E, Kocamaz A (01 Aralık 2022) Approximately Near Rings in Proximal Relator Spaces. Fundamental Journal of Mathematics and Applications 5 4 245–256.
IEEE E. İnan ve A. Kocamaz, “Approximately Near Rings in Proximal Relator Spaces”, Fundam. J. Math. Appl., c. 5, sy. 4, ss. 245–256, 2022, doi: 10.33401/fujma.1117103.
ISNAD İnan, Ebubekir - Kocamaz, Ayşegül. “Approximately Near Rings in Proximal Relator Spaces”. Fundamental Journal of Mathematics and Applications 5/4 (Aralık 2022), 245-256. https://doi.org/10.33401/fujma.1117103.
JAMA İnan E, Kocamaz A. Approximately Near Rings in Proximal Relator Spaces. Fundam. J. Math. Appl. 2022;5:245–256.
MLA İnan, Ebubekir ve Ayşegül Kocamaz. “Approximately Near Rings in Proximal Relator Spaces”. Fundamental Journal of Mathematics and Applications, c. 5, sy. 4, 2022, ss. 245-56, doi:10.33401/fujma.1117103.
Vancouver İnan E, Kocamaz A. Approximately Near Rings in Proximal Relator Spaces. Fundam. J. Math. Appl. 2022;5(4):245-56.

Cited By

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