A SHORT NOTE ON ATOMS AND COATOMS IN SUBGROUP LATTICES OF GROUPS

نویسندگان
Bazigaran, Behnam ID 1
Ashrafi, Ali Reza ID 2
Khass, Hossain ID 3

1 University of Kashan

2 University of Kashan

3 University of Kashan

doi
چکیده

In this paper we give an elementary argument about the atoms and coatoms of the lattice of all subgroups of a group. It is proved that an abelian group of finite exponent is strongly coatomic.

کلیدواژه‌ها
Atom, Coatom, group, Lattice