One sided invertibility and localisation II

DOI10.1017/S0017089500030330zbMath0819.16019OpenAlexW2096482243MaRDI QIDQ4322976

Charudatta R. Hajarnavis

Publication date: 26 March 1995

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500030330

zbMATH Keywords

simple right modulesmaximal orderslocalizationsOre setsidempotent idealsheight 1 prime idealsdirect sums of prime ringsleft unique factorisation ringsright invertible maximal idealsright invertible prime idealssemiprime Noetherian PI rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (2)

Generator ideals in Noetherian PI rings ⋮ A structure theorem for Noetherian P. I. rings with global dimension two

Cites Work

• Unnamed Item
• Symmetry and localization in Noetherian prime PI rings
• Ideal arithmetic in Noetherian PI rings
• Non-commutative Dedekind rings
• Localisation in Asano orders

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