Star Operations on Overrings and Semistar Operations

DOI10.1081/AGB-200063359zbMath1088.13001MaRDI QIDQ5466674

Giampaolo Picozza

Publication date: 25 August 2005

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

zbMATH Keywords

integral domainsemistar operationstar operation

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (17)

Star stable domains ⋮ Semistar-Krull and valuative dimension of integral domains ⋮ Semistar ascending chain conditions over polynomial rings ⋮ Some topological considerations on semistar operations ⋮ Extension of Semistar Operations ⋮ When the Semistar Operation is the Identity ⋮ When Two Principal Star Operations Are the Same ⋮ Star stability and star regularity for Mori domains ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ ON THE CARDINALITY OF SEMISTAR OPERATIONS OF FINITE CHARACTER ON INTEGRAL DOMAINS ⋮ Some classification of certain integral domains via conductor overrings and semistar operations ⋮ Star operations on modules ⋮ Semistar-super potent domains ⋮ Descending chains of semistar operations ⋮ Semistar Operations on Dedekind Domains ⋮ Some results on presemistar operations ⋮ Stability and Clifford Regularity with Respect to Star Operations

Cites Work

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• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS
• Divisorial domains
• Note on valuation rings and semistar-operations
• Integral domains in which each non‐zero ideal is divisorial
• Localizing systems, module systems, and semistar operations

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