On \(\Sigma\)-pure-injective modules over valuation domains

DOI10.1007/BF01197134zbMath0595.16015WikidataQ114234024 ScholiaQ114234024MaRDI QIDQ1077507

Elisabetta Monari Martinez

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

valuation domain\(\Sigma \) -pure-injective modulealgebraically compactartinian R-modulesdirect sum of indecomposable submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items

Unnamed Item, Sigma-cotorsion modules over valuation domains, The prüfer rings that are endomorphism rings of artinian modules, A Generalization of Algebraic Compactness, ∑–pure—injective modules over a commutative prüfer ring

Cites Work

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• Prebasic submodules over valuation rings
• Model theory of modules
• Decomposability of direct products of modules
• Purity and algebraic compactness for modules
• Decomposition of totally transcendental modules
• Rein injektive direkte summen von moduln
• Uniserial modules over valuation rings