Modules whose submodules are annihilators
DOI10.1515/DMA-2012-023zbMath1277.16006OpenAlexW2094071301MaRDI QIDQ4917404
Publication date: 29 April 2013
Published in: Discrete Mathematics and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dma-2012-023
annihilatorsregular ringsessential extensionscomultiplication modulesmaximal right idealsdirect sums of simple modulessemiprimitive modulescommutative multiplication of right ideals
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
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