Prime ideals and localization in commutative group rings

DOI10.1016/0021-8693(75)90185-4zbMath0303.13007OpenAlexW2077020188MaRDI QIDQ1216429

E. L. Lady, Douglas L. Costa, James Brewer

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90185-4

Mathematics Subject Classification ID

Group rings (16S34) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Local rings and semilocal rings (13H99) Chain conditions, finiteness conditions in commutative ring theory (13E99)

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Group rings and semigroup rings over strong Mori domains. II. ⋮ Examples of Jaffard domains ⋮ Non-Catenary factorial domains ⋮ Spectral synthesis and residually finite-dimensional algebras ⋮ A characterisation of local \(N\)-rings and an application to abstract harmonic analysis ⋮ Noetherian properties in monoid rings. ⋮ Power series rings over strong Mori domains. ⋮ Strong Mori and Noetherian properties of integer-valued polynomial rings. ⋮ The Laskerian property in commutative rings ⋮ Associative rings ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Group rings and semigroup rings over strong Mori domains. ⋮ Localization in non-noetherian group rings ⋮ Height theorems and unmixedness for finitely generated algebras over zero-dimensional rings ⋮ The AR property and chain conditions in group rings ⋮ I-adic completions of non-commutative rings ⋮ On the prime spectrum of commutative semigroup rings ⋮ Commutative rings with ACC on n-generated ideals ⋮ On the spectrum of the group ring

Cites Work

• Note on extensions of Abelian groups by primary groups
• A Two-Dimensional Non-Noetherian Factorial Ring
• On the Group Ring
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