New Results on Soft Semi-Topological Groups

Öz

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.

Anahtar Kelimeler

• Soft set, soft group, soft topological group, soft semi-topological group.

Kaynakça

1. Kharal A., Ahmad B., Mappings on soft classes, New Mathematics and Natural Computations, 7 (2011), 471–481.
2. Tanay B., Cakmak N., Soft semi-topological groups, 2.nd International Eurasian Conference on Mathematical Sciences and Applications, (August, 2013).
3. 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.
4. Molodtsov D., Soft Set Theory-First Result, Computers and Mathematics with Applications, 37 (1999), 19–31.
5. Jin-xuan F., On fuzzy topological groups, Kexue Tongbao, 29 (1984), 727–730.
6. Nazmul S., Samanta S.K., Soft topological groups, Kochi J. Math., 5 (2010), 151–161.
7. Husain T., Introduction to Topological Group, W. B. Saunders Company, Philadelphia and London, 1966.
8. 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 : [e-mail] Nazan C ¸ AKMAK, Department of Mathematics, Muˇ gla Stk Koman University, 48170, Muˇ gla, Turkey, e-mail : [e-mail]