scientific article; zbMATH DE number 1538974

zbMath0985.16031arXivmath/9905098MaRDI QIDQ4519428

J. Toby Stafford, Kenneth R. Goodearl

Publication date: 17 February 2002

Full work available at URL: https://arxiv.org/abs/math/9905098

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zbMATH Keywords

graded prime ringsgraded Goldie ringsGoldie's theoremrings of fractionsgraded simple rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Graded rings and modules (associative rings and algebras) (16W50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (16)

The Goldie theorem for \(H\)-semiprime algebras. ⋮ On the stratification of noncommutative prime spectra ⋮ Graded prime Goldie rings ⋮ Goldie rings graded by a group with periodic quotient group modulo the center ⋮ The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. ⋮ Quotient rings of graded associative rings. I. ⋮ Perverse coherent t-structures through torsion theories ⋮ Criteria for the validity of Goldie's theorems for graded rings ⋮ The prime spectrum of algebras of quadratic growth. ⋮ Graded quotient rings ⋮ Iterative algebras. ⋮ Graded versions of Goldie's theorem. ⋮ On graded second and coprimary modules and graded secondary representations ⋮ Homogeneous localizations of some quantum enveloping superalgebras ⋮ The injective spectrum of a noncommutative space. ⋮ Embeddings of quotient division algebras of rings of differential operators

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