Modules whose certain submodules are essentially embedded in direct summands

DOI10.1216/RMJ-2016-46-2-519zbMath1428.16003MaRDI QIDQ309475

Adnan Tercan, Yeliz Kara

Publication date: 7 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1469537475

zbMATH Keywords

tangent bundle\(C_{12}\)-moduleexchange propertyextending module

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General module theory in associative algebras (16D10)

Related Items (2)

Unnamed Item ⋮ Generalized extending modules via exchange and clean properties

Cites Work

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• Classes of modules with the exchange property
• Direct sums and summands of weak CS-modules and continuous modules
• Weak \((C_{11})\) modules and algebraic topology type examples.
• When Some Complement of a Submodule Is a Summand
• Modules Whose Submodules are Essentially Embedded in Direct Summands
• Examples of rings and modules as trivial extensions
• On modules for which the finite exchange property implies the countable exchange property
• Generalizations of CS-modules
• The Extending Condition Relative to Sets of Submodules

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