Every Commutative Ring Has a Minimal Ring Extension

From MaRDI portal
Publication:3422824

DOI10.1080/00927870600862706zbMath1110.13005OpenAlexW2040151863MaRDI QIDQ3422824

David E. Dobbs

Publication date: 14 February 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600862706




Related Items (32)

Conch maximal subringsMaximal non-Prüfer and maximal non--Prüfer ringsA classification of the minimal ring extensions of an integral domainA field-theoretic invariant for domainsA classification of the minimal ring extensions of certain commutative ringsNormal pairs of noncommutative ringsON MAXIMAL NON-ACCP SUBRINGSUnnamed ItemCertain towers of ramified minimal ring extensions of commutative rings, IIThe Singly Generated Unital Rings with Only Finitely Many Unital SubringsUnnamed ItemOn the nature and number of isomorphism classes of the minimal ring extensions of a finite commutative ringCommutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring ExtensionsCertain towers of ramified minimal ring extensions of commutative ringsOn the commutative rings with at most two proper subringsUnnamed ItemON THE EXISTENCE OF MAXIMAL SUBRINGS IN COMMUTATIVE ARTINIAN RINGSMaximal Subrings and Covering Numbers of Finite Semisimple RingsOn subrings of the form \(I+\mathbb{R}\) of \(C(X)\)A minimal ring extension of a large finite local prime ring is probably ramifiedUnnamed ItemPointwise maximal subringsTrivial extensions satisfying certain valuation-like propertiesTHE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCEOn Minimal Extensions of RingsCharacterizing finite fields via minimal ring extensionsOn the existence of maximal subrings in commutative noetherian ringsThe Space of Maximal Subrings of a Commutative RingWhere some inert minimal ring extensions of a commutative ring come from. IIWhere Some Inert Minimal Ring Extensions of a Commutative Ring Come fromA Sufficient Condition for a Minimal Ring Extension to Be an OverringA Zariski topology on integrally closed maximal subrings of a commutative ring



Cites Work


This page was built for publication: Every Commutative Ring Has a Minimal Ring Extension