Global theory of lattice-finite Noetherian rings.

DOI10.1007/S10468-006-9006-5zbMath1127.16015OpenAlexW2006139748MaRDI QIDQ865023

Wolfgang Rump

Publication date: 13 February 2007

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-006-9006-5

zbMATH Keywords

Krull dimensionleft Noetherian ringsindecomposable latticesAsano orderslattice finite Noetherien ringsleft overordersmaximal left orders

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Prime and semiprime associative rings (16N60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Right ideals of rings of differential operators
• Lattice-finite rings.
• Non-commutative Dedekind rings
• Lattices over orders I
• *-MODULES, TILTING, AND ALMOST ABELIAN CATEGORIES
• INVERTIBLE IDEALS AND NON-COMMUTATIVE ARITHMETICS
• Intrinsic Characterizations of Some Additive Functors
• Invertible ideals and existence of quotient rings
• Monomorphisms, Epimorphisms, and Pull-Backs

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