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DC Field | Value | Language |
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dc.contributor.author | Jakubíková -Studenovská, D. | - |
dc.contributor.author | Janičková, L. | - |
dc.date.accessioned | 2019-12-10T09:19:28Z | - |
dc.date.available | 2019-12-10T09:19:28Z | - |
dc.date.issued | 2018 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4485 | - |
dc.description | Jakubíková -Studenovská D. Construction of a complementary quasiorder / D. Jakubíková -Studenovská , L. Janičková // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 1. - Рp. 39 -55 | uk_UA |
dc.description.abstract | For a monounary algebra A = (A, f) we study the lattice Quord A 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.language.iso | en_US | uk_UA |
dc.publisher | ДЗ "ЛНУ імені Тараса Шевченка" | uk_UA |
dc.relation.ispartofseries | Математичні науки; | - |
dc.subject | monounary algebra | uk_UA |
dc.subject | quasiorder | uk_UA |
dc.subject | lattice | uk_UA |
dc.subject | complement | uk_UA |
dc.subject | complemented lattice. | uk_UA |
dc.title | Construction of a complementary quasiorder | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (25). - 2018 |
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335-3175-1-PB.pdf | 440.45 kB | Adobe PDF | View/Open |
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