Preradicals and characteristic submodules: connections and operations

dc.contributor.author	Kashu, A.I.
dc.date.accessioned	2019-06-15T16:44:19Z
dc.date.available	2019-06-15T16:44:19Z
dc.date.issued	2010
dc.identifier.citation	Preradicals and characteristic submodules: connections and operations / A.I. Kashu // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 59–75. — Бібліогр.: 8 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154603
dc.description.abstract	For an arbitrary module M∈R-Mod the relation between the lattice Lch(RM) of characteristic (fully invariant) submodules of M and big lattice R-pr of preradicals of R-Mod is studied. Some isomorphic images of Lch(RM) in R-pr are constructed. Using the product and coproduct in R-pr four operations in the lattice Lch(RM) are defined. Some properties of these operations are shown and their relations with the lattice operations in Lch(RM) are investigated. As application the case RM=RR is mentioned, when Lch(RR) is the lattice of two-sided ideals of ring R.	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 and characteristic submodules: connections and operations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA
dc.identifier.udc	of2000 Mathematics Subject Classification:16D90, 16S90, 06B23.