Rings with finite decomposition of identity.

DOI10.1007/s11253-011-0509-9zbMath1248.16018OpenAlexW2031303103MaRDI QIDQ765387

Mikhailo Dokuchaev, Nadiya Gubareni, Vladimir Kirichenko

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/166010

zbMATH Keywords

semiprime ringsprime ringsfiniteness conditionslattices of idealsascending chain conditionDedekind-finite ringsdescending chain conditionFDI-ringsorthogonal primitive idempotents

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Semiprime FDI-rings ⋮ Hopficity of Modules and Rings (Survey)

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