An example of a primitive polynomial ring

DOI10.1016/0021-8693(84)90208-4zbMath0542.16004OpenAlexW1995270260MaRDI QIDQ795136

Timothy J. Hodges

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90208-4

zbMATH Keywords

transcendence degreelocal ringdivision ringcentreOre setpartial quotient ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noncommutative local and semilocal rings, perfect rings (16L30) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx)

Related Items (2)

On the Primitivity of Polynomial Rings with Nonprimitive Coefficient Rings ⋮ On primitive ideals in polynomial rings over nil rings.

Cites Work

• Polynomials over division rings
• A reduction theorem for the primitivity of tensor products
• Transcendental division algebras and simple Noetherian rings
• Localization and the AR Property
• Krull dimension

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