Idealistic Soft Topological Hyperrings

  • Gülay OĞUZ Department of Mathematics, Faculty of Arts and Sciences, Harran University, Sanlıurfa, Turkey
Keywords: idealistic soft topological rings, soft set, idealistic topological hyperring

Abstract

Abstract Views: 126

The aim of this article is to introduce the concept of an idealistic soft topological hyperring over a hyperring. Some structural properties of this concept are also studied. Moreover, this study investigates the relationship between the idealistic soft topological hyperrings and the idealistic soft hyperrings. Finally, the restricted (extended) intersection and ∧-intersection of the family of the idealistic soft topological hyperrings are examined.

Copyright(c) The author

Downloads

Download data is not yet available.

References

Marty F. Sur Une Generalization De La Notion De Groupe. In 8th congress Math. Scandinaves; 1934:45-49.

Davvaz B, Leoreanu-Fotea V. Hyperring Theory and Applications. International Academic Press, USA. 2007.

Corsini P, Leoreanu V. Applications of Hyperstructure Theory, Vol. 5. Springer Science and Business Media. 2013.

Ameri R, Norouzi M. On commutative hyperrings. Int J Algebraic Hyperstructures Appli. 2014;1(1):45-58.

Krasner M. A class of hyperrings and hyperfields internat. J Math Math Sci. 1983;6:n02.

Selvachandran G. Introduction to the theory of soft hyperrings and soft hyperring homomorphism. JP J Algebra, Number Theory Applications. 2015 Jun 1;36(3):279-94.

Jinyan WA, Minghao Yİ, Wenxiang GU. Soft hyperrings and their (fuzzy) isomorphism theorems. Hacet J Math Stat. 2015 Dec 1;44(6):1463-75.

Gülay OĞ. A New View on Topological Polygroups. Turkish J Sci. 2020;5(2):110-7.

Molodtsov D. Soft set theory—first results. Comput Math Appl. 1999 Feb 1;37(4-5):19-31. https://doi.org/10.1016/S0898-1221(99)00056-5

Oguz G. Soft Topological Transformation Groups. Math. 2020 Sep;8(9):1545.

Atagün AO, Sezgin A. Soft substructures of rings, fields and modules. Comput Math Appli. 2011 Feb 1;61(3):592-601. https://doi.org/10.1016/j.camwa.2010.12.005

Shabir M, Naz M. On soft topological spaces. Comput Math Appli. 2011 Apr 1;61(7):1786-99. https://doi.org/10.1016/j.camwa.2011.02.006

Oĝuz G, Icen I, Gürsoy MH. A New Concept in the Soft Theory: Soft Groupoids. Southeast Asian Bull Math. 2020 Jul 1;44(4).

Acar U, Koyuncu F, Tanay B. Soft sets and soft rings. Comput Math Appli. 2010 Jun 1;59(11):3458-63. https://doi.org/10.1016/j.camwa.2010.03.034

Gülay OĞ, Gürsoy MH, İlhan İÇ. On soft topological categories. Hacet J Math Stat. 2019 Jan 1;48(6):1675-81.

kazanci O, Yilmaz S, yamak S. Soft sets and soft BCH-algebras. Hacet J Math Stat. 2010 Jun 1;39(2):205-17.

Shah T, Shaheen S. Soft topological groups and rings. Ann Fuzzy Math Inform. 2014 May;7(5):725-43.

Nodehi M, Norouzi M, Dehghan OR. An introduction to topological hyperrings. Caspian J Math Sci (CJMS). 2020 Sep 1;9(2):210-23.

Published
2020-09-22
How to Cite
1.
OĞUZ G. Idealistic Soft Topological Hyperrings. Sci Inquiry Rev. [Internet]. 2020Sep.22 [cited 2024Jul.7];4(3):61–70. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/1234
Section
Orignal Article