Construction of a complementary quasiorder

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