The Gabriel dimension of a module
From MaRDI portal
Publication:1844897
DOI10.1016/0021-8693(74)90081-7zbMath0285.16018OpenAlexW1995548195MaRDI QIDQ1844897
Robert Gordon, J. Chris Robson
Publication date: 1974
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(74)90081-7
Finite rings and finite-dimensional associative algebras (16P10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Representation theory of associative rings and algebras (16Gxx)
Related Items (42)
The Krull-Gabriel dimension of the representation theory of a tame hereditary Artin algebra and applications to the structure of exact sequences ⋮ Relative graded Clifford theory ⋮ On seminoetherian rings and modules ⋮ Algebraic entropy of amenable group actions ⋮ Gabriel dimension of graded rings. II ⋮ On the exactness of products in the localization of (Ab.\(4^{\ast}\)) Grothendieck categories ⋮ Decisive dimension and other related torsion theoretic dimensions. ⋮ Near-discreteness of modules and spaces as measured by Gabriel and Cantor ⋮ Gabriel dimension and spectral torsion theories ⋮ Relativization, absolutization, and latticization in ring and module theory ⋮ The preprojective algebra of a tame hereditary artin algebra ⋮ Unnamed Item ⋮ Global dimension of rings with krull dimension ⋮ On the idempotence and stability of kernel functors ⋮ On the cantor-bendixson-simmons filtration of a torsion theory ⋮ Krull dimension-nilpotency and Gabriel dimension ⋮ Global dimensions of right coherent rings with left Krull dimension ⋮ On the Atomic Dimension in Module Categories ⋮ CHAIN CONDITIONS ON QUOTIENT FINITE DIMENSIONAL MODULES ⋮ Affine pi-rings have gabriel dimension ⋮ MODULAR QFD LATTICES WITH APPLICATIONS TO GROTHENDIECK CATEGORIES AND TORSION THEORIES ⋮ A Krull-like dimension for noncommutative rings ⋮ Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension ⋮ On derivations of finite index, chain conditions, dimensions and radicals ⋮ Schranken für die Gabriel- und Krull-Dimension Idealisator-ähnlicher Ringerweiterungen ⋮ N-dimension and n-critical modules.application to artinian modules ⋮ When every torsion preradical is a torsion radical ⋮ Nilpotency in Endomorphism Rings ⋮ Dimension de krull et codeviation. Application au theoreme d'eakin ⋮ Gabriel dimension of finite normalizing extensions ⋮ Ringerweiterung und lokalisation ⋮ Flat and stably flat modules ⋮ Prime kernel functors of group graded rings and smash products ⋮ Invertible and divisorial ideals of generalized Dedekind domains ⋮ Classes of lattices (co)generated by a lattice and their global (dual) Krull dimension ⋮ Commutative torsion stable rings ⋮ Lengths of submodule chains versus Krull dimension in non-Noetherian modules ⋮ Gabriel dimension of graded rings ⋮ A remark on the spectra of rings with Gabriel dimension ⋮ The injective spectrum of a noncommutative space. ⋮ Wild hereditary Artin algebras and linear methods ⋮ On noncommutative piecewise Noetherian rings
Cites Work
- Unnamed Item
- Nil ideals in rings with finite Krull dimension
- On the Krull-dimension of left noetherian left Matlis-rings
- Semiprime rings with Krull dimension are Goldie
- A note on the dimension theory of rings
- On the dimension theory of rings. II
- Des catégories abéliennes
- The Nil Radical of a Ring with Krull Dimension
- Krull dimension
- Algebraic \(K\)-theory
This page was built for publication: The Gabriel dimension of a module
