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Morita equivalence for graded rings

Gene Abrams, Efren Ruiz, Mark Tomforde · 2023 · DOI 10.1016/j.jalgebra.2022.10.036

2 Pith papers cite this work. Polarity classification is still indexing.

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fields

math.KT 1 math.RA 1

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Graded differential polynomial rings

math.RA · 2026-06-22 · unverdicted · novelty 6.0

Characterizes when differential polynomial rings R[t;δ] admit compatible Γ-gradings and proves graded analogues of simplicity, primeness, and Noetherianity theorems.

Matrix stability and Morita invariance

math.KT · 2026-06-24 · unverdicted · novelty 5.0

Matrix stability for G-algebras or G-graded algebras guarantees Morita invariance, implying Morita invariance of bivariant algebraic K-theory and kk-equivalence between ℓ^X ⋊ G and ℓ^{X/G} for free actions.

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Showing 2 of 2 citing papers.

  • Graded differential polynomial rings math.RA · 2026-06-22 · unverdicted · none · ref 1

    Characterizes when differential polynomial rings R[t;δ] admit compatible Γ-gradings and proves graded analogues of simplicity, primeness, and Noetherianity theorems.

  • Matrix stability and Morita invariance math.KT · 2026-06-24 · unverdicted · none · ref 1

    Matrix stability for G-algebras or G-graded algebras guarantees Morita invariance, implying Morita invariance of bivariant algebraic K-theory and kk-equivalence between ℓ^X ⋊ G and ℓ^{X/G} for free actions.