Closure operators in modules and adjoint functors

dc.contributor.author	Kashu, A. I.
dc.date.accessioned	2019-12-10T11:04:15Z
dc.date.available	2019-12-10T11:04:15Z
dc.date.issued	2018
dc.identifier.uri	http://hdl.handle.net/123456789/4493
dc.description	Kashu A. I.Closure operators in modules and adjoint functors / A. I. Kashu // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 1. - Рp. 98-117	uk_UA
dc.description.abstract	In the present work the relations between the closure operators of two module categories are investigated in the case when the given categories are connected by two covariant adjoint functors H : R-Mod −→ S-Mod and T : S-Mod −→ R-Mod. Two mappings are defined which ensure the transition between the closure operators of categories R-Mod and S-Mod. Some important properties of these mappings are proved. It is shown that the studied mappings are compatible with the order relations and with the main operations.	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	category of modules	uk_UA
dc.subject	closure operator	uk_UA
dc.subject	adjoint functors	uk_UA
dc.subject	lattice operations.	uk_UA
dc.title	Closure operators in modules and adjoint functors	uk_UA
dc.type	Article	uk_UA