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IDEAL ARITHMETIC IN AFFINE PI RINGS

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Publication:4025291
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DOI10.1093/qmath/43.3.297zbMath0770.16009OpenAlexW2022096692MaRDI QIDQ4025291

Charudatta R. Hajarnavis, Thomas H. Lenagan, A. W. Chatters

Publication date: 18 February 1993

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/43.3.297


zbMATH Keywords

catenarityDedekind prime ringaffine PI ringproducts of prime idealsmodule finite over its centernoetherian prime PI ringprime, noetherian, hereditary ring


Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)





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