On Identitiesand m-Neutral Sequencesof n-Ary Groups

作     者：Alexander M.Gal’mak Viktoria A.Kovaleva 

作者机构：Department of TechnologyMogilev State University of Food Technologies212027 MogilevBelarus Department of MathematicsFrancisk Skorina Gomel State University246019 GomelBelarus 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2016年第4卷第4期

页      面：495-508页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：n-Ary group Identity m-Neutral sequence 

摘      要：In this paper,we study such polyadic analog of an identity of a group asm-neutral *** particular,we prove that all Post s equivalence classes of thefree covering group of any n-ary group[where n=k(m-1)+1 and k≥1]definedby m-neutral sequences form the(k+1)-ary group,which is isomorphic to the n-arysubgroup of all identities of the n-ary group in the case when m=2.