Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/20700
DC Field | Value | Language |
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dc.contributor.author | Kurilić Miloš | - |
dc.contributor.author | Morača Nenad | - |
dc.date.accessioned | 2020-12-13T14:58:43Z | - |
dc.date.available | 2020-12-13T14:58:43Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 0167-8094 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/20700 | - |
dc.description.abstract | © 2019, Springer Nature B.V. A poset ℙ is called reversible iff every bijective homomorphism f: ℙ→ ℙ is an automorphism. Let W and W∗ denote the classes of well orders and their inverses respectively. We characterize reversibility in the class of posets of the form ℙ=⋃i∈ILi, where Li, i∈ I, are pairwise disjoint linear orders from W∪ W∗. First, if Li∈ W, for all i ∈ I, and Li≅ αi= γi+ ni∈ Ord , where γi ∈Lim ∪{0} and ni ∈ ω, defining Iα := {i ∈ I : αi = α}, for α ∈Ord, and Jγ := {j ∈ I : γj = γ}, for γ ∈Lim ∪{0}, we prove that ⋃i∈ILi is a reversible poset iff 〈αi : i ∈ I〉 is a finite-to-one sequence, that is, |Iα| < ω, for all α ∈Ord, or there exists γ = max{γi : i ∈ I}, for α ≤ γ we have |Iα| < ω, and 〈ni : i ∈ Jγ ∖ Iγ〉 is a reversible sequence of natural numbers. The same holds when Li∈ W∗, for all i ∈ I. In the general case, the reversibility of the whole union is equivalent to the reversibility of the union of components from W and the union of components from W∗. | - |
dc.language.iso | en | - |
dc.relation.ispartof | Order | - |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.title | Reversible Disjoint Unions of Well Orders and Their Inverses | - |
dc.type | Journal/Magazine Article | - |
dc.identifier.doi | 10.1007/s11083-019-09493-4 | - |
dc.identifier.scopus | 2-s2.0-85067295031 | - |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=116119&source=BEOPEN&language=en | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85067295031 | - |
dc.relation.lastpage | 81 | - |
dc.relation.firstpage | 73 | - |
dc.relation.issue | 1 | - |
dc.relation.volume | 37 | - |
dc.identifier.externalcrisreference | (BISIS)116119 | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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