Semistar Dedekind domains
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Publication:1877753
DOI10.1016/j.jpaa.2004.03.011zbMath1081.13003arXivmath/0405124OpenAlexW2100770594MaRDI QIDQ1877753
Marco Fontana, Giampaolo Picozza, Saïd El Baghdadi
Publication date: 19 August 2004
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0405124
Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
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Semistar GCD Domains ⋮ The strong ultrafilter topology on spaces of ideals ⋮ A Schreier Domain Type Condition II ⋮ Universally Catenarian Integral Domains, Strong S-Domains and Semistar Operations ⋮ Star stable domains ⋮ Unnamed Item ⋮ Semistar-Krull and valuative dimension of integral domains ⋮ Kronecker function rings and power series rings ⋮ Semistar ascending chain conditions over polynomial rings ⋮ Integral domains having a unique Kronecker function ring ⋮ Extension of Semistar Operations ⋮ When the Semistar Operation is the Identity ⋮ A new semistar operation on a commutative ring and its applications ⋮ Injective modules and semistar operations ⋮ Star stability and star regularity for Mori domains ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ Uppers to zero and semistar operations in polynomial rings ⋮ Some remarks on Prüfer \(\bigstar\)-multiplication domains and class groups ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Minimal prime ideals and semistar operations ⋮ Uppers to Zero in Polynomial Rings and Prüfer-Like Domains ⋮ GOING-DOWN AND SEMISTAR OPERATIONS ⋮ Radical factorization in finitary ideal systems ⋮ Semistar ascending chain conditions over power series rings ⋮ A homological characterization of Krull domains II ⋮ Onv-Domains and Star Operations ⋮ Characterizations of *-Cancellation Ideals of an Integral Domain ⋮ Star operations on modules ⋮ Stability and Clifford Regularity with Respect to Star Operations
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