Every zero adequate ring is an exchange ring

DOI10.1007/s10958-012-1058-yzbMath1276.13009OpenAlexW2080472187MaRDI QIDQ1948581

S. I. Bilyavskaya, B. V. Zabavs'kyj

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1058-y

zbMATH Keywords

clean ringBézout ringexchange ringadequate ringadequate elementPM-ringzero adequate ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) General commutative ring theory (13A99)

Related Items (4)

Finite homomorphic images of Bezout duo-domains ⋮ Combining Euclidean and adequate rings ⋮ Elementary matrix reduction over J-stable rings ⋮ Elementary matrix reduction over certain rings

Cites Work

• Unnamed Item
• Lifting Idempotents and Exchange Rings
• Exchange rings, units and idempotents
• Elementary Divisor Rings and Finitely Presented Modules
• The elementary divisor theorem for certain rings without chain condition

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