Ideal invariance and localization

DOI10.1080/00927877908822357zbMath0408.16003OpenAlexW2040713611MaRDI QIDQ4195085

Bruno J. Mueller

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822357

zbMATH Keywords

ClansAlfa-Torsion TheoryRight- Artinian Classical Right-Quotient RingRight-Alfa-Homogeneous RingRight-Weakly Ideal Invariant Ring

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (17)

Modules semicocritical with respect to a torsion theory and their applications ⋮ Non-commutative regular local rings of dimension 2 ⋮ Localization at collections of minimal primes ⋮ Localization and right krull links ⋮ Two-sided localization in Noetherian PI-rings ⋮ Δ-modules and prime links ⋮ Module extensions over Noetherian rings ⋮ Quotient rings and localization for Noetherian rings ⋮ α-Injectives and the semicritical socle series ⋮ Weak ideal invariance and orders in Artinian rings ⋮ The maximal regular Ore set of a Noetherian ring ⋮ Non-holonomic modules over Weyl algebras and enveloping algebras ⋮ Modules △,-injectifs sur les anneaux à dimension de krull ⋮ When semicritical rings are semiprime ⋮ Modules ⋮ Affine Noetherian PI-rings have enough clans ⋮ A new characterisation of hereditary PI rings

Cites Work

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• Simple modules over hereditary Noetherian prime rings
• Two-sided localization in Noetherian PI-rings
• Prime spectra in non-commutative algebra
• Stable structure of noncommutative Noetherian rings. II
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Idealizers and hereditary Noetherian prime rings
• K -Theory and Stable Structure of Some Noetherian Group Rings
• Three examples concerning the ore condition in Noetherian rings
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• Localization in Non-Commutative Noetherian Rings
• Noetherian prime rings of krull dimension one
• Localization of Right Noetherian Rings at Semiprime Ideals
• Ideal invariance and Artinian quotient rings

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