BibTex RIS Kaynak Göster

Lagrange Theorem for polygroups

Yıl 2015, Cilt: 3 Sayı: 1, 29 - 34, 22.12.2014

Alireza Sedighi Mohammad Hossein Hosseini

https://izlik.org/JA75FA83HT

Öz

So far, isomorphism theorems in hyperstructure were proved for different structures of polygroups, hyperrings and etc. Inthis paper, the polygroups properties is studied with the introduction of a suitable equivalence relation. We show that the above relationis strongly regular. Our main purpose in the paper is investigating Lagrang theorem and other expressing of isomorphism theorems forpolygroups

Anahtar Kelimeler

polygroup Lagrange theorem isomorphism theorems fundamental relation heart of hypergroup

Kaynakça

  • Asghari-Larimi M, Corsini P, Ranjbar-Yanehsari E. 2012. Intuitionistic fuzzy sets and join spaces associated with nary membership functions, The Journal of Mathematics and Computer Science, Vol .5 No.2, 115-125.
  • Asghari-Larimi M, Davvaz B. 2010. Hyperstructures associated to arithmetic functions, ArsCombitoria, vol.97 , 51-63.
  • Asghari-Larimi M, Leoreanu-Fotea V. 2009. A connection between hypergroupoids and L-FuzzySets of Type 2, Italian J. of Pure and Appl. Math., vol.26, 207-216.
  • Corsini P. 1993. Join spaces, power sets, fuzzy sets, Algebraic hyperstructures and applications, Hadronic .
  • Corsini P. 1993. Prolegomena of Hypergroup Theory, second eddition, Aviani.
  • Davvaz B. 2010. Isomorphism theorems of polygroups. Bull. Malays. Math. Sci. Soc. (2) 33, No. 3, 385-392. ISSN 0126-6705.
  • Davvaz B, Leoreanu-Fotea V. 2007. Hyperring Theory and Applications, International Academic Press, USA, 347.
  • Jantociak J. 1991. Homomorphisms, equivalences and reductions in hypergroups, Rivista di Mat. Pure ed Appl. 9, 2B.
  • Marty F. 1934, Sur une gnralisation de la notion de group, in: 4th Congress Math. Scandinaves, Stockholm, pp. 45-49.ress, Palm Harbor, 45-52.
  • Ranjbar-Yanehsari E, Asghari-Larimi M. 2011. Some Properties of Hyperstructure and Union Normal Fuzzy Subgroups, International Mathematical Forum Vol. 6, no. 53, 2645 2653.
  • Zahedi. M, Bolurian. M, Hasankhani. A. 1995. On polygroups and fuzzy sub- polygroups, J. Fuzzy Math. 1, 115.

Yıl 2015, Cilt: 3 Sayı: 1, 29 - 34, 22.12.2014

Alireza Sedighi Mohammad Hossein Hosseini

https://izlik.org/JA75FA83HT

Öz

Kaynakça

  • Asghari-Larimi M, Corsini P, Ranjbar-Yanehsari E. 2012. Intuitionistic fuzzy sets and join spaces associated with nary membership functions, The Journal of Mathematics and Computer Science, Vol .5 No.2, 115-125.
  • Asghari-Larimi M, Davvaz B. 2010. Hyperstructures associated to arithmetic functions, ArsCombitoria, vol.97 , 51-63.
  • Asghari-Larimi M, Leoreanu-Fotea V. 2009. A connection between hypergroupoids and L-FuzzySets of Type 2, Italian J. of Pure and Appl. Math., vol.26, 207-216.
  • Corsini P. 1993. Join spaces, power sets, fuzzy sets, Algebraic hyperstructures and applications, Hadronic .
  • Corsini P. 1993. Prolegomena of Hypergroup Theory, second eddition, Aviani.
  • Davvaz B. 2010. Isomorphism theorems of polygroups. Bull. Malays. Math. Sci. Soc. (2) 33, No. 3, 385-392. ISSN 0126-6705.
  • Davvaz B, Leoreanu-Fotea V. 2007. Hyperring Theory and Applications, International Academic Press, USA, 347.
  • Jantociak J. 1991. Homomorphisms, equivalences and reductions in hypergroups, Rivista di Mat. Pure ed Appl. 9, 2B.
  • Marty F. 1934, Sur une gnralisation de la notion de group, in: 4th Congress Math. Scandinaves, Stockholm, pp. 45-49.ress, Palm Harbor, 45-52.
  • Ranjbar-Yanehsari E, Asghari-Larimi M. 2011. Some Properties of Hyperstructure and Union Normal Fuzzy Subgroups, International Mathematical Forum Vol. 6, no. 53, 2645 2653.
  • Zahedi. M, Bolurian. M, Hasankhani. A. 1995. On polygroups and fuzzy sub- polygroups, J. Fuzzy Math. 1, 115.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Yazarlar

Alireza Sedighi Bu kişi benim

Mohammad Hossein Hosseini Bu kişi benim

Yayımlanma Tarihi 22 Aralık 2014
IZ https://izlik.org/JA75FA83HT
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

APA Sedighi, A., & Hosseini, M. H. (2014). Lagrange Theorem for polygroups. New Trends in Mathematical Sciences, 3(1), 29-34. https://izlik.org/JA75FA83HT
AMA 1.Sedighi A, Hosseini MH. Lagrange Theorem for polygroups. New Trends in Mathematical Sciences. 2014;3(1):29-34. https://izlik.org/JA75FA83HT
Chicago Sedighi, Alireza, ve Mohammad Hossein Hosseini. 2014. “Lagrange Theorem for polygroups”. New Trends in Mathematical Sciences 3 (1): 29-34. https://izlik.org/JA75FA83HT.
EndNote Sedighi A, Hosseini MH (01 Aralık 2014) Lagrange Theorem for polygroups. New Trends in Mathematical Sciences 3 1 29–34.
IEEE [1]A. Sedighi ve M. H. Hosseini, “Lagrange Theorem for polygroups”, New Trends in Mathematical Sciences, c. 3, sy 1, ss. 29–34, Ara. 2014, [çevrimiçi]. Erişim adresi: https://izlik.org/JA75FA83HT
ISNAD Sedighi, Alireza - Hosseini, Mohammad Hossein. “Lagrange Theorem for polygroups”. New Trends in Mathematical Sciences 3/1 (01 Aralık 2014): 29-34. https://izlik.org/JA75FA83HT.
JAMA 1.Sedighi A, Hosseini MH. Lagrange Theorem for polygroups. New Trends in Mathematical Sciences. 2014;3:29–34.
MLA Sedighi, Alireza, ve Mohammad Hossein Hosseini. “Lagrange Theorem for polygroups”. New Trends in Mathematical Sciences, c. 3, sy 1, Aralık 2014, ss. 29-34, https://izlik.org/JA75FA83HT.
Vancouver 1.Alireza Sedighi, Mohammad Hossein Hosseini. Lagrange Theorem for polygroups. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2014;3(1):29-34. Erişim adresi: https://izlik.org/JA75FA83HT