Pure projective modules and FP-injective modules over Morita rings
type: Item
instance of: scholarly article
title: Pure projective modules and FP-injective modules over Morita rings
zbMATH Open document ID: 1480.16004
author: Meiqi Yan
author: Hailou Yao
published in: Frontiers of Mathematics in China
publication date: 2021-06-24T00:00:00Z
review text: The authors study several properties about a Morita ring \(\Lambda\) where bimodule homomorphisms are zero. The authors describe when a \(\Lambda\)-module is finitely presented (Prop 3.2, 3.3 and Thm 3.12), pure projective (Prop 4.6), pure injective (Prop 4.7), locally coherent (Prop 5.3), (strongly) FP-injective (Lemma 6.6). Finally, in Prop 5.6 they give an equivalent condition for \(\Lambda\) to be a left J-coherent ring, or (Cor 6.10) to be an FC ring.
reviewed by: Luz Adriana Mejia Castaño
Mathematics Subject Classification ID: 16D10
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16P40
zbMATH DE Number: 7362860
zbMATH Keywords: Morita ring
zbMATH Keywords: finitely presented
zbMATH Keywords: pure projective
zbMATH Keywords: pure injective
zbMATH Keywords: locally coherent
zbMATH Keywords: FP-injective
MaRDI profile type: Publication
full work available at URL: s11464-020-0877-2
OpenAlex ID: W3119543801
Wikidata QID: Q114222298
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DOI: 10.1007/S11464-020-0877-2
description: scientific article; zbMATH DE number 7362860