On the saturations of submodules

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: Paudel, L., Tchamna, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188378
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the saturations of submodules / L. Paudel, S. Tchamna // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 110–123. — Бібліогр.: 8 назв. — англ.

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 oper...