Rings with cyclic injective hulls

DOI10.1080/00927872.2020.1779735zbMath1468.16004OpenAlexW3040001406MaRDI QIDQ5124588

Yasser Ibrahim, Mohamed F. Yousif

Publication date: 30 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1779735

zbMATH Keywords

Hopfianself-injective ringsco-HopfianDedekind-finite rings and modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (1)

Perspectivity, exchange and summand-dual-square-free modules

Cites Work

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• On the Goldie dimension of rings and modules.
• Generalized Hopfian modules
• Automorphism-invariant modules satisfy the exchange property.
• On Köthe rings
• Hypercyclic rings
• Noncommutative rings whose cyclic modules have cyclic injective hulls
• C4-Modules
• Rings with finitely generated injective (quasi-injective) hulls of cyclic modules
• q-Hypercyclic Rings
• A note on hereditary rings or non-singular rings with chain condition.
• Rings all of whose right ideals are U-modules
• Utumi modules
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Dual Utumi modules
• Rings whose injective hulls are dual square free
• D4-Modules
• Dual-square-free modules
• Modules whose injective endomorphisms are essential

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