On the saturations of submodules

dc.contributor.author	Paudel, L.
dc.contributor.author	Tchamna, S.
dc.date.accessioned	2019-12-16T08:36:39Z
dc.date.available	2019-12-16T08:36:39Z
dc.date.issued	2018
dc.identifier.uri	http://hdl.handle.net/123456789/4538
dc.description	Paudel L. On the saturations of submodules / L. Paudel , S.Tchamna // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp. 110-123	uk_UA
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.relation.ispartofseries	Математичні науки;
dc.subject	saturation	uk_UA
dc.subject	star operation	uk_UA
dc.subject	ring extension	uk_UA
dc.subject	prime specrum	uk_UA
dc.subject	localization	uk_UA
dc.subject	flat module	uk_UA
dc.title	On the saturations of submodules	uk_UA
dc.type	Article	uk_UA