Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4538
Title: | On the saturations of submodules |
Authors: | Paudel, L. Tchamna, S. |
Keywords: | saturation star operation ring extension prime specrum localization flat module |
Issue Date: | 2018 |
Series/Report no.: | Математичні науки; |
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. |
Description: | Paudel L. On the saturations of submodules / L. Paudel , S.Tchamna // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp. 110-123 |
URI: | http://hdl.handle.net/123456789/4538 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (26). - 2018 |
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