Injective property of generalized inverse polynomial module
type: Item
instance of: scholarly article
zbMATH Open document ID: 0981.16004
author: Sangwon Park
publication date: 2001-03-19T00:00:00Z
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16P40
zbMATH DE Number: 1579129
zbMATH Keywords: Noetherian rings
zbMATH Keywords: injective left modules
zbMATH Keywords: inverse polynomial modules
MaRDI profile type: Publication
title: Injective property of generalized inverse polynomial module
published in: Communications of the Korean Mathematical Society
review text: It has long been known that the module of inverse polynomials \(E[x^{-1}]\) is an injective left \(R[x]\)-module if \(R\) is a left Noetherian ring and \(E\) is an injective left \(R\)-module.NEWLINENEWLINENEWLINEThis note generalizes the above result. Let \(S\) be a submonoid of the set of natural numbers. It is shown that, for \(R\) left Noetherian and \(E\) a left injective \(R\)-module, \(E[x^{-S}]\) is an injective left \(R[x^S]\)-module.
reviewed by: Frieda Theron
description: scientific article