Quotient rings, chain conditions and injective ring endomorphisms

DOI10.1017/S0017089500007709zbMath0678.16018WikidataQ114117438 ScholiaQ114117438MaRDI QIDQ3834191

Joan C. Wilkinson

Publication date: 1989

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

zbMATH Keywords

automorphismKrull dimensionNoetherian domainascending chain conditionoverringArtinian quotient ringsannihilator left idealsinjective ring endomorphism

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50) Centralizing and normalizing extensions (16S20)

Cites Work

• Monomorphisms and radicals of Noetherian rings
• Skew polynomial rings over orders in Artinian rings
• Bijective Extensions of Injective Ring Endomorphisms
• Bezout rings and serial rings