On order of elements in hypergroups and p-Sylow subhypergroups. Issue 12 (2nd December 2017)

• Record Type: Journal Article
• Authors: Jantani, F.; Jafarpour, M.; Mousavi, S. Sh.; Leoreanu, V.
• Is Part Of: Communications in algebra. Volume 45:Issue 12(2017)
• Page Start: 5092
• Page End: 5102
• Publication Date: 2017-12-02
• Subjects: Homomorphism -- hypergroup -- strongly regular relations -- Sylow theorem; 20N20; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2017.1293071
• Languages: English
• ISSNs: 0092-7872

Abstract

ABSTRACT: In this paper we define a left order, right order and order of an element in a hypergroup, which has a left scalar identity, right scalar identity and scalar identity, respectively. Using left and right orders, we define and investigate some classes of subhypergroups, especially p -Sylow subhypergroups of a hypergroup. Moreover, some examples have been proposed to show that the Sylow theorems do not hold for polygroups.