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dc.contributor.author |
Jakubíková-Studenovská, D. |
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dc.contributor.author |
Janičková, L. |
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dc.date.accessioned |
2023-02-23T19:23:10Z |
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dc.date.available |
2023-02-23T19:23:10Z |
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dc.date.issued |
2018 |
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dc.identifier.citation |
Construction of a complementary quasiorder / D. Jakubíková-Studenovská, L. Janičková // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 39-55. — Бібліогр.: 4 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
2010 MSC: 08A60, 08A02. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/188347 |
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dc.description.abstract |
For a monounary algebra A = (A, f) we study the lattice QuordA of all quasiorders of A, i.e., of all reflexive and transitive relations compatible with f. Monounary algebras (A, f) whose lattices of quasiorders are complemented were characterized in 2011 as follows: (*) f(x) is a cyclic element for all x ∊ A, and all cycles have the same square-free number n of elements. Sufficiency of the condition (*) was proved by means of transfinite induction. Now we will describe a construction of a complement to a given quasiorder of (A, f) satisfying (*). |
uk_UA |
dc.description.sponsorship |
This work was supported by Grant VEGA 1/0063/14 and VEGA 1/0097/18. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
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dc.title |
Construction of a complementary quasiorder |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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