Right primary and nilary rings and ideals.

DOI10.1016/j.jalgebra.2012.12.016zbMath1282.16007OpenAlexW2047788062MaRDI QIDQ373873

Gary F. Birkenmeier, Jin Yong Kim, Jae Keol Park

Publication date: 25 October 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869313000045

zbMATH Keywords

decompositionsprime idealsnilpotent idealsprimary idealsACC on idealsfinite direct sums of ringsfinite intersections of idealsgeneralized triangular matrix ringsnilary ideals

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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