Ideal arithmetic in Noetherian PI rings

DOI10.1016/0021-8693(89)90230-5zbMath0671.16004OpenAlexW2070156765MaRDI QIDQ1119715

A. W. Chatters, Charudatta R. Hajarnavis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90230-5

zbMATH Keywords

Dedekind domaininvertible idealDedekind prime ringprime noetherian PI ringproduct of maximal idealsproduct of prime ideals

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (5)

One sided invertibility and localisation ⋮ One sided invertibility and localisation II ⋮ On Rings Whose Reflexive Ideals are Principal ⋮ Rings with Enough Invertible Ideals and Their Divisor Class Groups ⋮ NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS

Cites Work

• Symmetry and localization in Noetherian prime PI rings
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Non-commutative Dedekind rings
• Idealizers and hereditary Noetherian prime rings
• Localisation in Asano orders
• Krull and Global Dimensions of Semiprime Noetherian PI-Rings
• Asano Orders
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients
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