Endomorphisms of Partially Ordered Sets
Keyword(s):
It is shown that every partially ordered set with n elements admits an endomorphism with an image of a size at least n1/7 but smaller than n. We also prove that there exists a partially ordered set with n elements such that each of its non-trivial endomorphisms has an image of size O((n log n)1/3).
1979 ◽
Vol 27
(4)
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pp. 495-506
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2013 ◽
Vol 12
(04)
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pp. 1250184
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1976 ◽
Vol 28
(4)
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pp. 820-835
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2004 ◽
Vol 2004
(40)
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pp. 2145-2147
1964 ◽
Vol 16
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pp. 136-148
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1980 ◽
Vol 23
(2)
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pp. 231-236
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