n-ARY $P-H_v$-GROUPS

  • Ghadiri, M. (Department of Mathematics, University of Yazd) ;
  • Waphare, B.N. (Department of Mathematics, University of Pune)
  • Published : 2008.09.30

Abstract

n-ary $H_v$-structures is a generalisation of both n-ary structures and $H_v$-structures. A wide class of n-ary $P-H_v$-groups is the n-ary $P-H_v$-groups that is concidered in this paper. In this paper the notion of a normal subgroup of an n-ary $P-H_v$-groups is introduced and the isomorphism theorems for n-ary $P-H_v$-groups are stated and proved. Also some examples and related properties are investigated.

Keywords