On the primitivity of certain Ore extensions

DOI10.1007/BF01420415zbMath0393.16006MaRDI QIDQ1252400

Ronald S. Irving

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163280

zbMATH Keywords

Dedekind DomainEndomorphism RingsPrimitivity of Certain Ore Extensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Divisibility, noncommutative UFDs (16U30)

Related Items (3)

THEZ* FUNCTOR FOR RINGS WHOSE PRIMITIVE IMAGES ARE ARTINIAN ⋮ GK-dimensions of corners and ideals ⋮ Associative rings

Cites Work

• Prime ideals of Ore extensions over commutative rings
• Certaines algèbres de type fini sont des algèbres de Jacobson
• Theory of non-commutative polynomials
• Group rings of polycyclic groups
• A counter-example in ring theory and homological algebra
• Generic flatness and the nullstellensatz for ore extensions
• A Ring Primitive on the Right But Not on the Left

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