Strongly lifting modules and strongly dual Rickart modules

DOI10.1007/s11464-016-0599-7zbMath1385.16002OpenAlexW2533318087MaRDI QIDQ1692673

Yongduo Wang

Publication date: 10 January 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-016-0599-7

zbMATH Keywords

dual Rickart modulelifting modulestrongly dual Rickart modulestrongly lifting 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

Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories ⋮ Split objects with respect to a fully invariant short exact sequence in abelian categories ⋮ CS-Baer and dual CS-Baer objects in abelian categories ⋮ Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories ⋮ Strongly Rickart objects in abelian categories ⋮ Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects ⋮ Unnamed Item ⋮ F-Baer objects with respect to a fully invariant short exact sequence in abelian categories ⋮ π-Rickart and dual π-Rickart objects in abelian categories

Cites Work

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• DUO MODULES
• On lifting modules
• MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS
• MODULES FOR WHICH EVERY SUBMODULE HAS A UNIQUE COCLOSURE
• DISCRETE AND QUASI-DISCRETE MODULES
• On H-Supplemented Modules
• H-SUPPLEMENTED DUO MODULES