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Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 2, Pages 124–133 (Mi iigum110)  
On growth function of finite rigid lattices

O. E. Perminova

Ural State University, 51, Lenin Avenue, Ekaterinburg, 620000
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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.
Document Type: Article
UDC: 512.562
Language: Russian
Citation: O. E. Perminova, “On growth function of finite rigid lattices”, Bulletin of Irkutsk State University. Series Mathematics, 4:2 (2011), 124–133
Citation in format AMSBIB
\Bibitem{Per11}
\by O.~E.~Perminova
\paper On growth function of finite rigid lattices
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2011
\vol 4
\issue 2
\pages 124--133
\mathnet{http://mi.mathnet.ru/iigum110}
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  • https://www.mathnet.ru/eng/iigum/v4/i2/p124
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