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dc.contributor.author Jakubíková-Studenovská, D.
dc.contributor.author Janičková, L.
dc.date.accessioned 2023-02-23T19:23:10Z
dc.date.available 2023-02-23T19:23:10Z
dc.date.issued 2018
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
dc.identifier.other 2010 MSC: 08A60, 08A02.
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/188347
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
dc.title Construction of a complementary quasiorder uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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