On prime ideals in hereditary PI-rings
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Publication:1103704
DOI10.1016/0021-8693(88)90232-3zbMath0646.16014OpenAlexW2005625841MaRDI QIDQ1103704
Efraim P. Armendariz, Charudatta R. Hajarnavis
Publication date: 1988
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(88)90232-3
Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)
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Cites Work
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- Hereditary finitely generated P.I. algebras
- Hereditary rings integral over their centers
- Modules over Dedekind prime rings
- Hereditary Noetherian prime rings
- Piecewise domains
- On the Dimension of Modules and Algebras (III): Global Dimension
- On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary Rings
- Anneaux semi-premiers, noethériens, à identités polynômiales
- Sur les anneaux hereditaires ou semi-hereditaires
- Hereditary Prime P.I. Rings are Classical Hereditary Orders†
- Semihereditary rings
- Nonsingular Rings
- Prime Rings Satisfying a Polynomial Identity
- Rings with a polynomial identity