Araştırma Makalesi
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A New View on Topological Polygroups

Yıl 2020, Cilt: 5 Sayı: 2, 110 - 117, 31.10.2020

Öz

Soft set theory, defined by Molodtsov as a novel mathematical tool modeling uncertainty, has been combined with many different discipline fields. In this article, the concept of soft topological polygroups is proposed by examining polygroups, a special class of hypergroups, with a soft topological approach. Also, several results have been obtained by establishing important characterizations related to this concept. Inlast, bypresentingthe definitionof softtopologicalsubpolygroups,someoftheir properties are examined.

Kaynakça

  • Molodtsov, D. A.(1999). Soft set theory-First results. Comput. Math. Appl., 37(4-5), 19-31.
  • Marty,F.(1934). SuruneGeneralisation dela NotiondeGroupe.8thCongress MathematiciensScandinaves,Stockholm, pp.45–49.
  • Aktas, H., Cagman, N.(2007). Soft sets and soft groups. Inform. Sci., 77(13), 2726–2735.
  • Maji, P. K., Biswas, R., Roy, A. R.(2003). Soft set theory. Comput. Math. Appl., 45(4-5), 555–562.
  • Kazanci, O., Yilmaz, S., Yamak, S.(2010). Soft sets and soft BCH-algebras. Hacettepe J. Math. Stat., 39, 205–217.
  • Shabir, M., Naz, M.(2011). On soft topological spaces. Comput. Math. Appl., 61(7), 1786-1799.
  • Oguz, G., Gursoy, M.H., Icen, I.(2019). On soft topological categories. Hacet. J. Math. Stat., 48(6), 1675–1681.
  • Jun, Y.B. (2008). Soft BCK/BCI-algebras. Comput. Math. Appl., 56, 1408–1413.
  • 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.
  • Corsini, P., Leoreanu, V.(2003). Applications of Hyperstructure Theory. in: Advances in Math-ematics, vol. 5, Kluwer Academic Publishers Boston, Mass.
  • Aygunoglu, A., Aygun, A.(2012). Some notes on soft topological spaces. Neural Comput. Appl., 22(1), 113–119.
  • Yamak, S., Kazanci, O., Davvaz, B.(2011). Soft hyperstructure. Comput. Math. with Appl., 62(2), 797–803.
  • Leoreanu Fotea, V., Corsini, P.(2010) Soft hypergroups. Critical Review. A publication of Society for Mathematics of Uncertainty, Creighton University - USA, July , vol. IV, 81–97.
  • Wanga, J., Yin, M., Gua, W.(2011) Soft polygroups. Comp. Math. Appl., 62, 3529–3537.
  • Davvaz, B.(2000) On polygroups and permutation polygroups. Math. Balkanica (N.S.), 14 (1-2), 41–58.
  • Davvaz, B., Poursalavati N. S.(1999). On polygroup hyperrings and representations of polygroups. J. Korean Math. Soc., 36 (6), 1021–1031.
  • Ioulidis, S.(1981). Polygroups et certain de leurs properties. Bull. Greek Math. Soc., 22, 95-–104.
  • Comer, S.D.(1984). Polygroups derived from cogroups. J. Algebra, 89, 397—405.
  • Heidari, D., Davvaz, B., Modarres, S. M. S. (2016). Topological polygroups. B. Malays. Math. Sci. Soc., 39(2), 707–721.

Yıl 2020, Cilt: 5 Sayı: 2, 110 - 117, 31.10.2020

Öz

Kaynakça

  • Molodtsov, D. A.(1999). Soft set theory-First results. Comput. Math. Appl., 37(4-5), 19-31.
  • Marty,F.(1934). SuruneGeneralisation dela NotiondeGroupe.8thCongress MathematiciensScandinaves,Stockholm, pp.45–49.
  • Aktas, H., Cagman, N.(2007). Soft sets and soft groups. Inform. Sci., 77(13), 2726–2735.
  • Maji, P. K., Biswas, R., Roy, A. R.(2003). Soft set theory. Comput. Math. Appl., 45(4-5), 555–562.
  • Kazanci, O., Yilmaz, S., Yamak, S.(2010). Soft sets and soft BCH-algebras. Hacettepe J. Math. Stat., 39, 205–217.
  • Shabir, M., Naz, M.(2011). On soft topological spaces. Comput. Math. Appl., 61(7), 1786-1799.
  • Oguz, G., Gursoy, M.H., Icen, I.(2019). On soft topological categories. Hacet. J. Math. Stat., 48(6), 1675–1681.
  • Jun, Y.B. (2008). Soft BCK/BCI-algebras. Comput. Math. Appl., 56, 1408–1413.
  • 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.
  • Corsini, P., Leoreanu, V.(2003). Applications of Hyperstructure Theory. in: Advances in Math-ematics, vol. 5, Kluwer Academic Publishers Boston, Mass.
  • Aygunoglu, A., Aygun, A.(2012). Some notes on soft topological spaces. Neural Comput. Appl., 22(1), 113–119.
  • Yamak, S., Kazanci, O., Davvaz, B.(2011). Soft hyperstructure. Comput. Math. with Appl., 62(2), 797–803.
  • Leoreanu Fotea, V., Corsini, P.(2010) Soft hypergroups. Critical Review. A publication of Society for Mathematics of Uncertainty, Creighton University - USA, July , vol. IV, 81–97.
  • Wanga, J., Yin, M., Gua, W.(2011) Soft polygroups. Comp. Math. Appl., 62, 3529–3537.
  • Davvaz, B.(2000) On polygroups and permutation polygroups. Math. Balkanica (N.S.), 14 (1-2), 41–58.
  • Davvaz, B., Poursalavati N. S.(1999). On polygroup hyperrings and representations of polygroups. J. Korean Math. Soc., 36 (6), 1021–1031.
  • Ioulidis, S.(1981). Polygroups et certain de leurs properties. Bull. Greek Math. Soc., 22, 95-–104.
  • Comer, S.D.(1984). Polygroups derived from cogroups. J. Algebra, 89, 397—405.
  • Heidari, D., Davvaz, B., Modarres, S. M. S. (2016). Topological polygroups. B. Malays. Math. Sci. Soc., 39(2), 707–721.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Gülay Oğuz

Yayımlanma Tarihi 31 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 5 Sayı: 2

Kaynak Göster

APA Oğuz, G. (2020). A New View on Topological Polygroups. Turkish Journal of Science, 5(2), 110-117.
AMA Oğuz G. A New View on Topological Polygroups. TJOS. Ekim 2020;5(2):110-117.
Chicago Oğuz, Gülay. “A New View on Topological Polygroups”. Turkish Journal of Science 5, sy. 2 (Ekim 2020): 110-17.
EndNote Oğuz G (01 Ekim 2020) A New View on Topological Polygroups. Turkish Journal of Science 5 2 110–117.
IEEE G. Oğuz, “A New View on Topological Polygroups”, TJOS, c. 5, sy. 2, ss. 110–117, 2020.
ISNAD Oğuz, Gülay. “A New View on Topological Polygroups”. Turkish Journal of Science 5/2 (Ekim2020), 110-117.
JAMA Oğuz G. A New View on Topological Polygroups. TJOS. 2020;5:110–117.
MLA Oğuz, Gülay. “A New View on Topological Polygroups”. Turkish Journal of Science, c. 5, sy. 2, 2020, ss. 110-7.
Vancouver Oğuz G. A New View on Topological Polygroups. TJOS. 2020;5(2):110-7.