Algebraic extensions of rings and rings of quotients

DOI10.1007/BF01669100zbMath0466.16004OpenAlexW2094318541MaRDI QIDQ1155118

O. K. Babkov

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/187080

zbMATH Keywords

complete ring of quotientsPI-algebraradical extensionsright singular idealcoradical extensionsorders in simple Artinian ringprimary right Goldie ringprimary ring

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50) Centralizing and normalizing extensions (16S20) Rings with polynomial identity (16Rxx)

Related Items (2)

Associative rings ⋮ Quotient Rings andf-Radical Extensions of Rings

Cites Work

• Unnamed Item
• On the hypercenter of a ring
• Monomial conditions on rings
• Rings radical over subrings
• Co-radical extension of PI rings
• Algebraic Division Ring Extensions
• A Commutativity Theorem for Rings
• On a Result of Levitzki
• Nil Subrings of Goldie Rings are Nilpotent
• The Structure of a Certain Class of Rings

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