Combining Euclidean and adequate rings

DOI10.3906/mat-1502-58zbMath1424.13037OpenAlexW2315778532MaRDI QIDQ4633128

Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1502-58

zbMATH Keywords

Euclidean ringselementary divisor ringsadequate ringselementary matrix reduction

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Arithmetic rings and other special commutative rings (13F99)

Related Items (1)

Commutative Bézout domains of stable range 1.5

Cites Work

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• Stable rank of adequate ring.
• Neat rings
• Rings over which any matrix admits diagonal reduction by elementary transformations
• Every zero adequate ring is an exchange ring
• Bézout rings with almost stable range 1
• The Kaplansky condition and rings of almost stable range 1
• Semiregular Modules and Rings
• A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
• Elementary Divisors and Modules

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