Strong primeness in matrix rings.

DOI10.1016/J.JALGEBRA.2014.07.032zbMath1306.16011OpenAlexW2064354239MaRDI QIDQ743924

John E. van den Berg, Henry (Maya) Robert Thackeray

Publication date: 1 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.07.032

zbMATH Keywords

uniformly strongly prime ringsmatrix ringsdivision ringsright annihilatorsdivision pseudoalgebrasright insulators

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Infinite-dimensional and general division rings (16K40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

• Some consequences of a theorem of Bott
• Solution theory for complete bilinear systems of equations
• Strongly Prime Rings
• On uniform bounds of primeness in matrix rings
• The “fundamental theorem of algebra” for quaternions
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