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Does the endomorphism poset $P^P$ determine whether a finite poset $P$ is connected? An issue Duffus raised in 1978

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Publication:6137086
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DOI10.21136/mb.2022.0010-22OpenAlexW4293496630MaRDI QIDQ6137086

Jonathan David Farley

Publication date: 18 January 2024

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2022.0010-22

zbMATH Keywords

exponentiationconnected poset(partially) ordered set


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)




Cites Work

  • Unnamed Item
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  • Automorphisms and products of ordered sets
  • The zig-zag property and exponential cancellation of ordered sets
  • Another problem of Jónsson and McKenzie from 1982: refinement properties for connected powers of posets
  • Poset exponentiation and a counterexample Birkhoff said in 1942 he did not have
  • Powers of ordered sets
  • Ordered Sets
  • A Theorem on Partially Ordered Sets of Order-Preserving Mappings
  • A Logarithmic Property for Exponents of Partially Ordered Sets
  • Powers of partially ordered sets: Cancellation and reffinement properties.
  • Operations with structures
  • Cardinal multiplication of structures with a reflexive relation
  • Arithmetic of finite ordered sets: cancellation of exponents. II
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