Modules in which sums or intersections of two direct summands are direct summands.

DOI10.1007/s10958-015-2605-0zbMath1339.16004OpenAlexW2178178589MaRDI QIDQ906242

A. N. Abyzov, Askar A. Tuganbaev

Publication date: 21 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2605-0

zbMATH Keywords

direct sums of modulessummand sum propertysummand intersection propertydirect summands of modulesendo-regular modulesSIP-modulesSSP-modules

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)

Related Items

Modules close to SSP- and SIP-modules ⋮ Unnamed Item ⋮ Rings of formal matrices close to regular. ⋮ Direct projective modules, direct injective modules, and their generalizations ⋮ SSP rings and modules

Cites Work

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• Direct sums of Rickart modules.
• Dual Rickart Modules
• Properties of direct summands of modules
• Semiregular Morphisms
• Rickart Modules
• D3-Modules
• Nonsingular retractable modules and their endomorphism rings
• Modules with the summand intersection property
• Modules with the summand intersection property