Lagrange Theorem for polygroups

Volume: 3 Number: 3 June 26, 2015
  • Alireza Sedighi
  • Mohammad Hossein Hosseini
EN

Lagrange Theorem for polygroups

Abstract

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

Keywords

References

  1. 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.
  2. Asghari-Larimi M, Davvaz B. 2010. Hyperstructures associated to arithmetic functions, ArsCombitoria, vol.97 , 51-63.
  3. 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.
  4. Corsini P. 1993. Join spaces, power sets, fuzzy sets, Algebraic hyperstructures and applications, Hadronic .
  5. Corsini P. 1993. Prolegomena of Hypergroup Theory, second eddition, Aviani.
  6. Davvaz B. 2010. Isomorphism theorems of polygroups. Bull. Malays. Math. Sci. Soc. (2) 33, No. 3, 385-392. ISSN 0126-6705.
  7. Davvaz B, Leoreanu-Fotea V. 2007. Hyperring Theory and Applications, International Academic Press, USA, 347.
  8. Jantociak J. 1991. Homomorphisms, equivalences and reductions in hypergroups, Rivista di Mat. Pure ed Appl. 9, 2B.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Alireza Sedighi This is me

Mohammad Hossein Hosseini This is me

Publication Date

June 26, 2015

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 3

APA
Sedighi, A., & Hosseini, M. H. (2015). Lagrange Theorem for polygroups. New Trends in Mathematical Sciences, 3(3), 29-34. https://izlik.org/JA43MU56NB
AMA
1.Sedighi A, Hosseini MH. Lagrange Theorem for polygroups. New Trends in Mathematical Sciences. 2015;3(3):29-34. https://izlik.org/JA43MU56NB
Chicago
Sedighi, Alireza, and Mohammad Hossein Hosseini. 2015. “Lagrange Theorem for Polygroups”. New Trends in Mathematical Sciences 3 (3): 29-34. https://izlik.org/JA43MU56NB.
EndNote
Sedighi A, Hosseini MH (June 1, 2015) Lagrange Theorem for polygroups. New Trends in Mathematical Sciences 3 3 29–34.
IEEE
[1]A. Sedighi and M. H. Hosseini, “Lagrange Theorem for polygroups”, New Trends in Mathematical Sciences, vol. 3, no. 3, pp. 29–34, June 2015, [Online]. Available: https://izlik.org/JA43MU56NB
ISNAD
Sedighi, Alireza - Hosseini, Mohammad Hossein. “Lagrange Theorem for Polygroups”. New Trends in Mathematical Sciences 3/3 (June 1, 2015): 29-34. https://izlik.org/JA43MU56NB.
JAMA
1.Sedighi A, Hosseini MH. Lagrange Theorem for polygroups. New Trends in Mathematical Sciences. 2015;3:29–34.
MLA
Sedighi, Alireza, and Mohammad Hossein Hosseini. “Lagrange Theorem for Polygroups”. New Trends in Mathematical Sciences, vol. 3, no. 3, June 2015, pp. 29-34, https://izlik.org/JA43MU56NB.
Vancouver
1.Alireza Sedighi, Mohammad Hossein Hosseini. Lagrange Theorem for polygroups. New Trends in Mathematical Sciences [Internet]. 2015 Jun. 1;3(3):29-34. Available from: https://izlik.org/JA43MU56NB