On the endomorphism conjecture for posets with 0 (Q1267544)
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scientific article; zbMATH DE number 1210051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the endomorphism conjecture for posets with 0 |
scientific article; zbMATH DE number 1210051 |
Statements
On the endomorphism conjecture for posets with 0 (English)
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16 May 1999
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The author proves a theorem concerning an open question raised by I. Rival and A. Rutkowski: Let \(P_1,P_2,\dots\) be an infinite sequence of distinct finite posets so that there exists a \(k\) for which the number of elements of the \(P_i\) having height \(k\) converges to infinity. Denote \(a_i= \left|{\text{Aut}(P_i)\over \text{End}(P_i)}\right|\). Then \(\lim_{i\to\infty} (a_i)= 0\).
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endomorphism conjecture
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infinite sequence of distinct finite posets
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0.8126645088195801
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0.8114241361618042
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0.7656891942024231
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0.7366187572479248
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