A generalization of purely extending modules relative to a torsion theory

DOI10.31801/cfsuasmas.898637zbMath1489.16031arXiv2103.14311OpenAlexW3142485846MaRDI QIDQ5083817

Azime Tarhan, Semra Doǧruöz

Publication date: 21 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14311

zbMATH Keywords

torsion theoryextending moduleclosed submodulepure submodule(non)singular module

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Cites Work

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• On \(\tau\)-extending modules.
• Extending modules over commutative domains
• On the free product of associative rings
• Relatively extending modules.
• t-Extending Modules andt-Baer Modules
• Spectral gabriel topologies and relative singular functors
• Modules with Unique Closure Relative to a Torsion Theory
• RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND
• PURE CLOSED SUBOBJECTS AND PURE QUOTIENT GOLDIE DIMENSION
• Multiplication modules
• Multiplication modules

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