Dergiler / Turkish Journal of Science / 2026 / Cilt: 6 Sayı: 1

The Category of Soft Topological Hyperrings

Abdullah Fatih Özcan(İNÖNÜ ÜNİVERSİTESİ)0000-0001-9732-8026
İlhan İçen(İNÖNÜ ÜNİVERSİTESİ)0000-0003-3576-0731
Hatice Taşbozan(MUSTAFA KEMAL UNIVERSITY)0000-0002-6850-8658
Sayfa
6–13
Yayın Tarihi
2021-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the concept of soft topological subhyperrings is described and several structural features are studied.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, which focuses on the intersection of soft set theory and topological hyperrings, the concept of soft topological hyperrings is proposed and its relation with topological hyperrings is examined.
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Temel Bulgular & Veri:Morever, some characterizations related to the family of soft topological hyperrings are obtained and the category of soft topological hypergrupoids is establshed.
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Sonuç & Katkı:Finally, the concept of soft topological subhyperrings is described and several structural features are studied.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Soft topological ring · Topological hyperring · Soft hyperring

Abstract

In this study, which focuses on the intersection of soft set theory and topological hyperrings, the concept of soft topological hyperrings is proposed and its relation with topological hyperrings is examined. Morever, some characterizations related to the family of soft topological hyperrings are obtained and the category of soft topological hypergrupoids is establshed. Finally, the concept of soft topological subhyperrings is described and several structural features are studied.

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Bu Makaleye Atıf Yap

Özcan, A. F., İçen, İ., Taşbozan, H. (2021). The Category of Soft Topological Hyperrings. Turkish Journal of Science, Cilt: 6 Sayı: 1, 6–13. https://ajindex.com/articles/1557538

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Kaynakça (27)

  1. Marty, F. (1934). Sur une Generalisation de la Notion de Groupe. 8th Congress Mathematiciens Scandinaves, Stockholm, pp. 45–49.
  2. Molodtsov, D. A.(1999). Soft set theory-First results. Comput. Math. Appl., 37(4-5), 19–31.
  3. Maji, P. K., Biswas, R., Roy, A. R. (2003).Soft set theory, Comput. Math. Appl., 45(4-5), 555–562.
  4. Oguz, G., Icen, I., Gursoy, M.H.(2019). Actions of soft groups.Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(1), 1163–1174.
  5. Aktas, H., Cagman, N.(2007). Soft sets and soft groups. Inform. Sci., 77(13), 2726–2735.
  6. Atagun A. O., Sezgin A. (2011). Soft substructures of rings, fields and modules, Comput. Math. Appl., 61, 592–601.
  7. Oguz, G., Gursoy, M.H., Icen, I.(2019). On soft topological categories. Hacet. J. Math. Stat., 48(6), 1675–1681.
  8. Shabir, M., Naz, M.(2011). On soft topological spaces. Comput. Math. Appl., 61(7), 1786–1799.
  9. Oguz, G. (2020). Soft Topological Transformation Groups. Mathematics, 8(9), 1545.
  10. Aygunoglu, A., Aygun, A.(2012). Some notes on soft topological spaces. Neural Comput. Appl., 22(1), 113–119.
  11. Oguz, G., Icen, I., Gursoy, M.H.(2020). A New Concept in the Soft Theory: Soft Groupoids. Southeast Asian Bull. Math., 44(4), 555–565.
  12. Yamak, S., Kazanci, O., Davvaz, B.(2011). Soft hyperstructure. Comput. Math. with Appl., 62(2), 797–803.
  13. Tasbozan H., Icen I., Bagrmaz, N. and Ozcan, A.F.(2017). Soft Sets and Soft Topology on Nearness Approximation Space, Filomat 31:13, 41174125.
  14. Oguz, G.(2020). A New View on Topological Polygroups. Turkish Journal of Science, 5(2), 110–117.
  15. Selvachandran, G., Salleh, A. R. (2013). Soft hypergroups and soft hypergroup homomorphism. In: AIP Conference Proceedings. American Institute of Physics, 1522(1), 821–827.
  16. Wang, J., Yin, M., Gu, W. (2011). Soft polygroups, Comput. Math. Appl., 62(9), 3529–3537.
  17. Selvachandran, G. (2015). Introduction to the theory of soft hyperrings and soft hyperring homomorphism. JP J. Algebra, Number Theory Appl., 36(3), 279–294.
  18. Shah, T., Shaheen, S. (2014). Soft topological groups and rings, Ann. Fuzzy Math. Inform., 7(5), 725–743.
  19. Davvaz, B., Leoreanu-Fotea, V. (2007). Hyperring theory and applications, International Academic Press, USA.
  20. Nodehi, M., Norouzi, M., Dehghan, O. R. (2020). An introduction to topological hyperrings. Casp. J. Math. Sci., 9(2), 210–223.
  21. Davvaz, B. (2004). Isomorphism theorems on hyperrings. Indian J. Pure Appl.Math., 35(3), 321–331.
  22. Velrajan, M., Asokkumar, A. (2010). Note on isomorphism theorems of hyperrings. Int. j. math. math. sci.,
  23. Maji,P.K., Roy, A.R., Biswas, R.(2002). An application of soft sets in a decision making problem, Comput. Math. Appl., 44, 1077–1083.
  24. Kazanci, O., Yilmaz, S., Yamak, S. (2010). Soft sets and soft BCH-algebras, Hacet. J. Math. Stat., 39, 205–217.
  25. Jinyan, W. A. N. G., Minghao, Y. N., Wenxiang, G. U. (2015). Soft hyperrings and their (fuzzy) isomorphism theorems.Hacet. J. Math. Stat., 44(6), 1463–1475.
  26. Heidari,D. Davvaz,B. and Modarres, S. M. S. (2016). Topological polygroups, Bull. Malaysian Math. Sci. Soc., 39(2), 707-721.
  27. Jinyan, W. A. N. G., Minghao, Y. N., Wenxiang, G. U. (2015). Soft hyperrings and their (fuzzy) isomorphism theorems.Hacet. J. Math. Stat., 44(6), 1463–1475.