Geodesic
On growth function of finite rigid lattices
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 124-133

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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, rigid lattice, growth function.
Mots-clés : endomorphism 
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O. E. Perminova. On growth function of finite rigid lattices. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 2, pp. 124-133. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_2_a9/