Prüfer-Like Conditions in Subring Retracts and Applications
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Publication:3618526
DOI10.1080/00927870802182515zbMath1166.13019arXiv0712.0128OpenAlexW2593586528MaRDI QIDQ3618526
Chahrazade Bakkari, Hakima Mouanis, Najib Mahdoua
Publication date: 2 April 2009
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.0128
Prüfer domainsemihereditary ringNagata ringGaussian ringsubring retractetc.Prüfer ring, arithmetical ringtrivial extension of a moduleweak global dimension of a ring
Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Cites Work
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- Gaussian properties of total rings of quotients
- Commutative coherent rings
- The content of Gaussian polynomials
- Some Homological Properties of Subring Retract and Applications to Fixed Rings
- Trivial Extensions Defined by Coherent-like Conditions
- Fixed rings of coherent regular rings
- Gaussian polynomials and content ideals
- The Dedekind-Mertens Lemma and the contents of polynomials
- Untersuchungen über Teilbarkeitseigenschaften in Körpern.
- The Dedekind-Mertens lemma and the contents of polynomials
- The content of a Gaussian polynomial is invertible
- Gaussian polynomials and invertibility
- The weak dimensions of Gaussian rings
- Groups Acting on Rings
- Gaussian Polynomials and Content Ideal in Pullbacks
- Arithmetical rings
- Groups Acting on Hereditary Rings
- Hereditary Commutative Rings and Centres of Hereditary Rings
- Prüfer rings