Gorenstein rings with semigroup bases
DOI10.1016/0021-8693(84)90078-4zbMath0549.16007OpenAlexW2005671793MaRDI QIDQ800455
Publication date: 1984
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(84)90078-4
semigroup ringfinitely generated torsion modulesframe ringKupisch ringLambek torsion theorynon-semiprime QF-3, 1-Gorenstein ringssemi- Kupisch semigroup
Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quasi-Frobenius rings (16L60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Semigroup rings, multiplicative semigroups of rings (20M25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the indecomposable representations of algebras
- Simple modules over hereditary Noetherian prime rings
- On QF-3 and 1-Gorenstein rings
- On maximal quotient rings of QF-3 1-Gorenstein rings with zero socle
- Remark on localizations of Noetherian rings with Krull dimension one
- Group representations without groups
- On rings with finite self-injective dimension. II
- Duality for semigroup rings
- A characterization of the triangular matrix rings over QF rings
- On non-singular \(QF-3'\) rings with injective dimension \(\leq 1\)
- On rings with self-injective dimension \(\leq 1\)
- Jacobson's conjecture and modules over fully bounded Noetherian rings
- Linear compactness and Morita duality
- Subrings of Artinian and Noetherian rings
- Modules over Dedekind prime rings
- Hereditary Noetherian prime rings
- Beiträge zur Theorie nichthalbeinfacher Ringe mit Minimalbedingungen.
- Semigroup ring construction of Frobenius extensions.
- A Decomposition Theorem for Noetherian orders in Artinian Rings
- Noetherian Rings with Krull Dimension One
- Rings with Duality
- On rings with finite self-injective dimension
- Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen. I.
- Coherent Rings and Fp -Injective Modules
- On Morita Duality
- On Frobenius Extensions I.
- Ideal invariance and Artinian quotient rings
This page was built for publication: Gorenstein rings with semigroup bases