On the saturations of submodules

dc.contributor.author	Paudel, L.
dc.contributor.author	Tchamna, S.
dc.date.accessioned	2023-02-26T12:31:31Z
dc.date.available	2023-02-26T12:31:31Z
dc.date.issued	2018
dc.identifier.citation	On the saturations of submodules / L. Paudel, S. Tchamna // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 110–123. — Бібліогр.: 8 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 13A15, 13A18, 13B02.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188378
dc.description.abstract	Let R ⊆ S be a ring extension, and let A be an R-submodule of S. The saturation of A (in S) by τ is set A[τ] = {x ∈ S : tx ∈ A for some t ∈ τ}, where τ is a multiplicative subset of R. We study properties of saturations of R-submodules of S. We use this notion of saturation to characterize star operations ⋆ on ring extensions R ⊆ S satisfying the relation (A ∩ B)⋆ = A⋆ ∩ B⋆ whenever A and B are two R-submodules of S such that AS = BS = S.	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	On the saturations of submodules	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA