EN
New Results on Soft Semi-Topological Groups
Abstract
In this paper, the concept of semi-topological groups given in [2] by B. Tanay and N. Cakmak is improved by giving several theorems and properties related to soft semi-topological groups. Moreover a relation between soft semi-topological groups and soft topological groups (soft groups) is studied. Finally soft image and soft inverse image of a soft semi-topological group (soft topological group) are examined for being a soft semi-topological group.
Keywords
References
- Kharal A., Ahmad B., Mappings on soft classes, New Mathematics and Natural Computations, 7 (2011), 471–481.
- Tanay B., Cakmak N., Soft semi-topological groups, 2.nd International Eurasian Conference on Mathematical Sciences and Applications, (August, 2013).
- Aktas H., Cagman N., Soft sets and soft groups, Information Sciences, 177 (2007), 2726–2735. Maji P.K., Biswas R., Roy A.R., Soft set theory, Computers and Mathematics with Applications, 45 (2003), 555–562.
- Molodtsov D., Soft Set Theory-First Result, Computers and Mathematics with Applications, 37 (1999), 19–31.
- Jin-xuan F., On fuzzy topological groups, Kexue Tongbao, 29 (1984), 727–730.
- Nazmul S., Samanta S.K., Soft topological groups, Kochi J. Math., 5 (2010), 151–161.
- Husain T., Introduction to Topological Group, W. B. Saunders Company, Philadelphia and London, 1966.
- Acar U., Koyuncu F., Tanay B., Soft sets and soft rings, Computers and Mathematics with Applications, 59 (2010), 3458–3463. Bekir TANAY, Department of Mathematics, Muˇ gla Stk Koman University, 48170, Muˇ gla, Turkey, e-mail : btanay@mu.edu.tr Nazan C ¸ AKMAK, Department of Mathematics, Muˇ gla Stk Koman University, 48170, Muˇ gla, Turkey, e-mail : ncakmak@mu.edu.tr
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
March 6, 2015
Submission Date
May 28, 2014
Acceptance Date
-
Published in Issue
Year 2014 Volume: 5 Number: 0
APA
Tanay, B., & Çakmak, N. (2015). New Results on Soft Semi-Topological Groups. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 5, 35-46. https://izlik.org/JA88XZ96HL
AMA
1.Tanay B, Çakmak N. New Results on Soft Semi-Topological Groups. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2015;5:35-46. https://izlik.org/JA88XZ96HL
Chicago
Tanay, Bekir, and Nazan Çakmak. 2015. “New Results on Soft Semi-Topological Groups”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 5 (March): 35-46. https://izlik.org/JA88XZ96HL.
EndNote
Tanay B, Çakmak N (March 1, 2015) New Results on Soft Semi-Topological Groups. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 5 35–46.
IEEE
[1]B. Tanay and N. Çakmak, “New Results on Soft Semi-Topological Groups”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 5, pp. 35–46, Mar. 2015, [Online]. Available: https://izlik.org/JA88XZ96HL
ISNAD
Tanay, Bekir - Çakmak, Nazan. “New Results on Soft Semi-Topological Groups”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 5 (March 1, 2015): 35-46. https://izlik.org/JA88XZ96HL.
JAMA
1.Tanay B, Çakmak N. New Results on Soft Semi-Topological Groups. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2015;5:35–46.
MLA
Tanay, Bekir, and Nazan Çakmak. “New Results on Soft Semi-Topological Groups”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 5, Mar. 2015, pp. 35-46, https://izlik.org/JA88XZ96HL.
Vancouver
1.Bekir Tanay, Nazan Çakmak. New Results on Soft Semi-Topological Groups. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy [Internet]. 2015 Mar. 1;5:35-46. Available from: https://izlik.org/JA88XZ96HL