Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators)

dc.contributor.author	Kashu, A.I.
dc.date.accessioned	2019-06-09T15:31:29Z
dc.date.available	2019-06-09T15:31:29Z
dc.date.issued	2013
dc.identifier.citation	Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) / A.I. Kashu // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 213–228. — Бібліогр.: 10 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/123456789/152290
dc.description.abstract	In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) and the set of C-closed submodules F₂с(M). By means of these functions three types of closure operators are described: 1) weakly hereditary; 2) idempotent; 3) weakly hereditary and idempotent.	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	Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators)	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA