One sided invertibility and localisation

DOI10.1017/S0017089500008909zbMath0776.16014OpenAlexW4240759963MaRDI QIDQ4016246

Charudatta R. Hajarnavis

Publication date: 16 December 1992

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

Full work available at URL: https://doi.org/10.1017/s0017089500008909

zbMATH Keywords

prime idealmaximal orderquotient ringheight 1 prime idealleft UFRprime Noetherian PI ringright invertible prime idealright UFRright unique factorisation ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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 (1)

Internal characterizations of non-prime dedekind orders

Cites Work

• Unnamed Item
• Symmetry and localization in Noetherian prime PI rings
• Ideal arithmetic in Noetherian PI rings
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Localization in non-commutative Noetherian rings
• Localisation in hereditary rings
• Localisation in Asano orders
• Central polynomials for matrix rings
• Idempotent Ideals in P.I. Rings
• Artinian Quotient Rings^†
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients

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