Generalized extending modules via exchange and clean properties

DOI10.1090/conm/727/14635zbMath1429.16003OpenAlexW2939282265MaRDI QIDQ5239126

Adnan Tercan, Yeliz Kara

Publication date: 22 October 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/727/14635

zbMATH Keywords

clean ringsextending modulesexchange propertycontinuous modules\(C_{11}\)-modules\(PI\)-extending modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) General module theory in associative algebras (16D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modules whose certain submodules are essentially embedded in direct summands
• Classes of modules with the exchange property
• Continuous modules are clean.
• Perspectivity and cancellation in regular rings
• Exchange rings and their extensions
• The exchange property of quasi-continuous modules with the finite exchange property
• Refinements for infinite direct decompositions of algebraic systems
• \(PI\)-extending modules via nontrivial complex bundles and abelian endomorphism rings
• Exchange rings and decompositions of modules
• EXTENSIONS OF CLEAN RINGS
• Extensions of Rings and Modules
• Module Theory, Extending Modules and Generalizations
• When Some Complement of a Submodule Is a Summand
• An Example of Bergman's and the Extension Problem for Clean Rings
• Lifting Idempotents and Exchange Rings
• On modules for which the finite exchange property implies the countable exchange property
• Study of formal triangular matrix rings
• Generalizations of CS-modules
• The Extending Condition Relative to Sets of Submodules