J-Noetherian Bezout domain which is not of stable range 1
DOI10.1142/S021949882050187XzbMath1451.13013arXiv1812.11195WikidataQ114614562 ScholiaQ114614562MaRDI QIDQ5133836
O. M. Romaniv, B. V. Zabavs'kyj
Publication date: 11 November 2020
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11195
maximal idealstable rangeBézout ringelementary divisor ringadequate ringalmost stable range\(J\)-Noetherian ringneat range
Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic rings and other special commutative rings (13F99)
Cites Work
- Unnamed Item
- Unnamed Item
- New characterizations of commutative clean rings
- Diagonal reduction of matrices over finite stable range rings
- Some remarks on elementary divisor rings. II
- Fractionally regular Bezout rings.
- Unique comaximal factorization
- Two counterexamples in abstract factorization
- Bézout rings with almost stable range 1
- Stable range in commutative rings
- A characterization of commutative rings whose maximal ideal spectrum is Noetherian
- Elementary Divisor Rings and Finitely Presented Modules
- ON DECOMPOSING IDEALS INTO PRODUCTS OF COMAXIMAL IDEALS
- Conditions for stable range of an elementary divisor rings
- Elementary Divisors and Modules
This page was built for publication: J-Noetherian Bezout domain which is not of stable range 1
