Torsion-free, Divisible, and Mittag-Leffler Modules

DOI10.1080/00927872.2014.918990zbMath1331.16001arXiv1301.0961OpenAlexW1848477830MaRDI QIDQ5501062

Philipp Rothmaler

Publication date: 11 August 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0961

zbMATH Keywords

flat modulesalmost projective modulesMittag-Leffler modulesdivisible modulesabsolutely pure modulesBézout domainstorsionfree modulesdefinable categoriesRD-domainscountable hereditary rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Applications of logic in associative algebras (16B70)

Related Items (7)

RD-projective module whose subprojectivity domain is minimal ⋮ On minimal absolutely pure domain of RD-flat modules ⋮ A note on torsion modules with pure embeddings ⋮ $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES ⋮ Strict Mittag-Leffler modules and purely generated classes ⋮ Mittag-Leffler modules and definable subcategories ⋮ On subinjectivity domains of RD-injective modules

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