Noncommutative Prüfer rings satisfying a polynomial identity

DOI10.1006/JABR.1993.1222zbMath0806.16027OpenAlexW2075562461MaRDI QIDQ1320227

Patrick J. Morandi

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1222

zbMATH Keywords

valuation ringscenterprime idealsmaximal idealintersection propertyBezout ringsprime Goldie ringfinitely generated right idealright Prüfer ringleft Prüfer ringprime PI-ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Ore rings, multiplicative sets, Ore localization (16U20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (7)

Integral semihereditary orders inside a Bézout maximal order ⋮ Extending rings of Prüfer type in central simple algebras. ⋮ On the intersection property of Dubrovin valuation rings ⋮ Weak crossed-product orders over valuation rings. ⋮ Noncommutative valuation rings of the quotient Artinian ring of a skew polynomial ring. ⋮ On extending Prüfer rings in central simple algebras ⋮ Divisors on division algebras and error correcting codes

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