Preradicals, closure operators in R-Mod and connection between them

dc.contributor.author	Kashu, A.I.
dc.date.accessioned	2019-06-14T03:26:34Z
dc.date.available	2019-06-14T03:26:34Z
dc.date.issued	2014
dc.identifier.citation	Preradicals, closure operators in R-Mod and connection between them / A.I. Kashu // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 86–96. — Бібліогр.: 6 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:16D90, 16S90, 06B23.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/153348
dc.description.abstract	For a module category R-Mod the class PR of preradicals and the class CO of closure operators are studied. The relations between these classes are realized by three mappings: Φ : CO → PR and Ψ₁, Ψ₂ : PR → CO. The impact of these mappings on the operations in PR and CO (meet, join, product, coproduct) is investigated. It is established that in most cases the considered mappings preserve the lattice operations (meet and join), while the other two operations are converted one into another (i.e. the product into the coproduct and vice versa).	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	Preradicals, closure operators in R-Mod and connection between them	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA