Orders of direct products of simple Artinian rings

DOI10.1007/BF01669129zbMath0501.16017OpenAlexW2061450307MaRDI QIDQ1172130

R. Gonchigdorzh

Publication date: 1982

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187158

zbMATH Keywords

annihilator conditionorthogonal subsetsemi-prime ringclassical right quotient ringGoldie theoremorders of direct products of simple Artinian ringsright transfinite Goldie ringsequence of atoms

Mathematics Subject Classification ID

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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Localization and associative Noetherian rings (16P50)

Cites Work

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