t-Linked overrings and prüfer v-multiplication domains
From MaRDI portal
Publication:3032368
DOI10.1080/00927878908823879zbMath0691.13015OpenAlexW1994405343MaRDI QIDQ3032368
Muhammad Zafrullah, Thomas G. Lucas, David E. Dobbs, Evan G. jun. Houston
Publication date: 1989
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878908823879
Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)
Related Items (79)
Duals and Transforms of Ideals in PVMDs ⋮ ON A CLASS OF PRUFER -MULTIPLICATION DOMAINS ⋮ A note on $w$-GD domains ⋮ Semistar Linkedness and Flatness, Prüfer Semistar Multiplication Domains ⋮ GENERALLY t-LINKATIVE DOMAINS ⋮ A note on perinormal domains ⋮ \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem ⋮ Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors ⋮ Ring-Theoretic Properties of PvMDs ⋮ The \(t\)\#-property for integral domains ⋮ A study of linked star operations ⋮ Integer-Valued Polynomial Rings,t-Closure, and Associated Primes ⋮ PrÜfer-Like Domains and the Nagata Ring of Integral Domains ⋮ On Almost Prüfer v-Multiplication Domains ⋮ RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS ⋮ Module-Theoretic Characterizations of Generalized GCD Domains ⋮ Almost splitting sets in integral domains. II ⋮ Unnamed Item ⋮ Star stable domains ⋮ Integral domains issued from associated primes ⋮ Purity over Prüfer v-multiplication domains ⋮ On t-linked overrings ⋮ Graded integral domains which are UMT-domains ⋮ Arithmetic properties in pullbacks ⋮ ∗-Almost super-homogeneous ideals in ∗-h-local domains ⋮ Integral domains with Boolean \(t\)-class semigroup ⋮ Unnamed Item ⋮ Graded almost pseudo-valuation domains ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ When the Semistar Operation is the Identity ⋮ On \(t\)-dimension over strong Mori domains ⋮ UMT-domains: A Survey ⋮ On the cardinality of stable star operations of finite type on an integral domain ⋮ Star operations and pullbacks. ⋮ THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS ⋮ On Krull domains ⋮ Integral domains in which any two \(v\)-coprime elements are comaximal ⋮ Star stability and star regularity for Mori domains ⋮ On some classes of integral domains defined by Krull's \(a.b.\) operations ⋮ Almost Bézout domains ⋮ Note on Star Operations Over Polynomial Rings ⋮ Characterizations of graded Prüfer \(\star \)-multiplication domains. II ⋮ UMT-domain property in pullbacks of graded integral domains ⋮ Functorial Properties of Star Operations: New Developments ⋮ ES-w-stability ⋮ Functorial Properties of Star Operations ⋮ Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings ⋮ w-DIMENSION OF DOMAINS. II ⋮ On Quasi-Prüfer and UMtDomains ⋮ On the transfer of some $t-$locally properties ⋮ Two generalizations of projective modules and their applications ⋮ Umt-domains and domains with prüfer integral closure ⋮ \(w\)-divisorial domains ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Almost splitting sets in integral domains ⋮ Strong Mori domains and the ring \(D[{\mathbf X}_{N_v}\)] ⋮ LCM-splitting sets in some ring extensions ⋮ Unnamed Item ⋮ Star operations in extensions of integral domains ⋮ Unnamed Item ⋮ On the set of \(t\)-linked overrings of an integral domain ⋮ The \(A + X B [X\) construction from Prüfer \(v\)-multiplication domains] ⋮ Uppers to Zero in Polynomial Rings and Prüfer-Like Domains ⋮ t-class semigroups of integral domains ⋮ GOING-DOWN AND SEMISTAR OPERATIONS ⋮ CHARACTERIZATIONS OF GRADED PRÜFER ⋆-MULTIPLICATION DOMAINS ⋮ Constituent groups of Clifford semigroups arising from \(t\)-closure ⋮ w-LinkedQ0-Overrings andQ0-Prüferv-Multiplication Rings ⋮ Overrings of Prüfer v-multiplication domains ⋮ Almost Prüferv-Multiplication Domains and Related Domains of the FormD + DS[Γ*] ⋮ Integral Domains in which Every Nonzerot-Locally Principal Ideal ist-Invertible ⋮ On the star class group of a pullback ⋮ The \(w\)-integral closure of integral domains ⋮ ON ALMOST PSEUDO-VALUATION DOMAINS, II ⋮ TW-domains and strong Mori domains ⋮ Stability and Clifford Regularity with Respect to Star Operations ⋮ A note on generalized Krull domains ⋮ Ideal factorization in strongly discrete independent rings of Krull type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On divisorial prime ideals in Prüfer v-multiplication domains
- How far is a Mori domain from being a Krull domain ?
- On \(\text{Pic}(R[X)\) for \(R\) seminormal]
- On Pruefer v-multiplication domains
- On proper of integral domains
- Two conductor theorems
- Ascending chain conditions and star operations
- Some finiteness and divisibility conditions on the proper overrings of an integral domain
- On Chain Conditions in Integral Domains
- Coherent mori domains and the principal ideal theorem
- On t-invertibility
- On seminormal overrings
- On Going Down For Simple Overrings II
- A Remark on Flat and Projective Modules
- On the complete integral closure of an integral domain
This page was built for publication: t-Linked overrings and prüfer v-multiplication domains