On growth function of finite rigid lattices

O. E. Perminova

Ural State University, 51, Lenin Avenue, Ekaterinburg, 620000

Abstract: Rigid lattices, i.e., lattices, any its endomorphism is a constant endomorphism (mapping all elements to a some single element) or the identity endomorphism, are investigated. It is proved that the growth function of finite rigid lattices is exponential.

Keywords: lattice, endomorphism, rigid lattice, growth function.

UDC: 512.562