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New Results on Soft Semi-Topological Groups

Year 2014, Volume: 5 , 35 - 46, 06.03.2015
https://izlik.org/JA88XZ96HL

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.

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

Year 2014, Volume: 5 , 35 - 46, 06.03.2015
https://izlik.org/JA88XZ96HL

Abstract

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
There are 8 citations in total.

Details

Primary Language English
Authors

Bekir Tanay

Nazan Çakmak This is me

Publication Date March 6, 2015
IZ https://izlik.org/JA88XZ96HL
Published in Issue Year 2014 Volume: 5

Cite

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