Found 2,949 Documents (Results 1–100)
Ring structure of integer-valued rational functions. (English) Zbl 07905766
Reviewer: Władysław Narkiewicz (Wrocław)
Universal quadratic forms and Dedekind zeta functions. (English) Zbl 07902832
Reviewer: Meinhard Peters (Münster)
Non-integrally closed Kronecker function rings and integral domains with a unique minimal overring. (English) Zbl 07902626
Reviewer: Ivan Kimuli Philly (Arua)
A torsion graph determined by equivalence classes of torsion elements and associated prime ideals. (English) Zbl 07898759
On weakly \((m, n)\)-prime ideals of commutative rings. (English) Zbl 07898753
Reviewer: T. Tamizh Chelvam (Tirunelveli)
Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements. (English) Zbl 07895595
Reviewer: Władysław Narkiewicz (Wrocław)
Some properties of monoids with infinity. (English) Zbl 07891463
Reviewer: Sanjib Kumar Datta (Kalyani)
A new generalization of \((m, n)\)-closed ideals. (English) Zbl 1543.13005
Reviewer: Ali Benhissi (Monastir)
Prime ideals in infinite products of commutative rings. (English) Zbl 07885852
Reviewer: Jorge Picado (Coimbra)
Generalizations of Prüfer rings and Bézout rings. (English) Zbl 1541.13002
Reviewer: Ali Benhissi (Monastir)
Core of an ideal in Prüfer domains. (English) Zbl 07873748
Reviewer: Moshe Roitman (Haifa)
Finite intersection of valuation overrings of polynomial rings in at most three variables. (English) Zbl 07870927
Reviewer: Gerard Leloup (Le Mans)
Gorenstein Krull domains and their factor rings. (English) Zbl 07870870
Reviewer: A. Mimouni (Dhahran)
Coherence and weak factoriality in a certain pullback. (English) Zbl 07870857
Reviewer: Tiberiu Dumitrescu (Bucureşti)
Riemann zeta functions for Krull monoids. (English) Zbl 07865942
Reviewer: Diego Sulca (Córdoba)
Nonnil-FP-injective and nonnil-FP-projective dimensions and nonnil-semihereditary rings. (English) Zbl 07862433
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 104, 27 p. (2024).
The dimension-overrings equation and maximal ideals of integral domains. (English) Zbl 1542.13006
Reviewer: A. Mimouni (Dhahran)
The Skolem property in rings of integer-valued rational functions. (English) Zbl 1539.13050
Reviewer: Władysław Narkiewicz (Wrocław)
Straight domains are locally divided. (English) Zbl 1541.13003
Reviewer: François Couchot (Caen)
Topological aspects of the ideal theory in rings of integer-valued polynomials. (English) Zbl 07836109
Reviewer: Dario Spirito (Roma)
Pseudo-Dedekind rings, semistar operations, and content formulas for power series. (English) Zbl 1537.13039
Reviewer: Ali Benhissi (Monastir)
An injective-envelope-based characterization of distributive modules over commutative Noetherian rings. (English) Zbl 1537.13034
Reviewer: T. Tamizh Chelvam (Tirunelveli)
The homological properties of regular injective modules. (English) Zbl 07831896
Reviewer: Refat Abdelmawla Khaled Assaad (Rabat)
The Golomb topology of polynomial rings. II. (English) Zbl 1536.54021
Reviewer: Hans Weber (Udine)
A necessary and sufficient condition for a direct sum of modules to be distributive. (English) Zbl 1539.13026
Reviewer: Tiberiu Dumitrescu (Bucureşti)
On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\). (English) Zbl 07796584
Densities on Dedekind domains, completions and Haar measure. (English) Zbl 1536.11023
Reviewer: Symon Serbenyuk (Kyïv)
Graded almost pseudo-valuation domains. (English) Zbl 1536.13002
Reviewer: Tiberiu Dumitrescu (Bucureşti)
The finitely presented torsion-free SG-projective modules are not necessarily projective. (English) Zbl 1540.13014
Reviewer: Nitin Bisht (Katra)
Uniformly \(n\)-ideals of commutative rings. (English) Zbl 1532.13001
Reviewer: François Couchot (Caen)
Absorbing prime multiplication modules over a pullback ring. (English) Zbl 1537.13015
Reviewer: Radoslav M. Dimitrić (New York)
On Dedekind domains whose class groups are direct sums of cyclic groups. (English) Zbl 1520.13026
Reviewer: Cristodor-Paul Ionescu (Bucureşti)
On the transfer of certain ring-theoretic properties in Anderson rings. arXiv:2410.17007
Preprint, arXiv:2410.17007 [math.AC] (2024).
Valuation Ideal Factorization Domains. arXiv:2410.16471
Preprint, arXiv:2410.16471 [math.AC] (2024).
One-dimensional monoid algebras and ascending chains of principal ideals. arXiv:2409.00580
Preprint, arXiv:2409.00580 [math.AC] (2024).
Norms, Normsets, and Factorization. arXiv:2406.14803
Preprint, arXiv:2406.14803 [math.AC] (2024).
The ramification tree and almost Dedekind domains of prescribed SP-rank. arXiv:2405.04523
Preprint, arXiv:2405.04523 [math.AC] (2024).
A realization theorem for almost Dedekind domains. arXiv:2405.04512
Preprint, arXiv:2405.04512 [math.AC] (2024).
Matrix invertible extensions over commutative rings. Part I: general theory. arXiv:2404.05780
Preprint, arXiv:2404.05780 [math.AC] (2024).
Square-difference factor absorbing ideals of a commutative ring. arXiv:2402.18704
Preprint, arXiv:2402.18704 [math.AC] (2024).
On Non-Noetherian Iwasawa Theory. arXiv:2401.02946
Preprint, arXiv:2401.02946 [math.NT] (2024).
On \(SCDF\)-modules. (English) Zbl 07869295
Note on \(UN\)-rings. (English) Zbl 07864823
On monogenity of certain pure number fields defined by \(x^{2^r\cdot 7^s}-m\). (English) Zbl 07805696
Invertibility, semistar operations, and the ring of Finite fractions. (English) Zbl 1530.13032
Chabert, Jean-Luc (ed.) et al., Algebraic, number theoretic, and topological aspects of ring theory. Selected papers based on the cancelled conference on rings and polynomials, July 2020, and the fourth international meeting on integer-valued polynomials and related topics, CIRM, Luminy, France, July 19–24, 2021. Cham: Springer. 213-236 (2023).
On the subatomicity of polynomial semidomains. (English) Zbl 1530.16048
Chabert, Jean-Luc (ed.) et al., Algebraic, number theoretic, and topological aspects of ring theory. Selected papers based on the cancelled conference on rings and polynomials, July 2020, and the fourth international meeting on integer-valued polynomials and related topics, CIRM, Luminy, France, July 19–24, 2021. Cham: Springer. 197-212 (2023).
A survey on essential-like properties of Prüfer \(v\)-multiplication domains. (English) Zbl 1530.13031
Chabert, Jean-Luc (ed.) et al., Algebraic, number theoretic, and topological aspects of ring theory. Selected papers based on the cancelled conference on rings and polynomials, July 2020, and the fourth international meeting on integer-valued polynomials and related topics, CIRM, Luminy, France, July 19–24, 2021. Cham: Springer. 187-195 (2023).
Cardinality of order intervals in linear lattices and of their sets of extreme points. (English) Zbl 07797581
On weakly \((m, n)\)-closed \(\delta\)-primary ideals of commutative rings. (English) Zbl 1537.13016
Reviewer: A. Mimouni (Dhahran)
Ring-theoretic properties of locally Mori domains and rings of the form \(\text{Int}(E, D)\). (English) Zbl 1541.18004
Structure of the kernel of a locally nilpotent derivation on an affine normal domain. (English) Zbl 1542.13022
Reviewer: Alexander B. Levin (Washington, D.C.)
Localizations of integer-valued polynomials and of their Picard group. (English) Zbl 1539.13034
Reviewer: Giulio Peruginelli (Padova)
On \(w_\infty\)-Warfield cotorsion modules and Krull domains. (English) Zbl 1528.13013
Reviewer: François Couchot (Caen)
On semi-regular injective modules and strong Dedekind rings. (English) Zbl 1536.13023
Reviewer: Hwankoo Kim (Asan)
Copure projective modules over FGV-domains and Gorenstein Prüfer domains. (English) Zbl 1531.13013
Reviewer: Qiao Lei (Chengdu)
Nil-ideals, \(J\)-ideals and their generalizations in commutative rings. (English) Zbl 1533.13005
Reviewer: Marco Fontana (Roma)
Unique decompositions into \(w\)-ideals for strong Mori domains. (English) Zbl 1528.13017
Reviewer: Hwankoo Kim (Asan)
Associated and attached primes of local cohomology modules over almost Dedekind domains. (English) Zbl 1524.13052
Reviewer: Siamak Yassemi (Tehran)
Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. (English) Zbl 07753444
Reviewer: Günter Lettl (Graz)
Generating solutions of a linear equation and structure of elements of the Zelisko group II. (English) Zbl 1523.15003
On the arithmetic of polynomial semidomains. (English) Zbl 1532.13024
Reviewer: Moshe Roitman (Haifa)
Nil\({}_*\)-Artinian rings. (English) Zbl 1528.13019
Reviewer: Marco Fontana (Roma)
A characterization of almost Dedekind domains in view of strong representability. (English) Zbl 1528.13018
Reviewer: Hwankoo Kim (Asan)
On Bhargava rings. (English) Zbl 07729571
Equations for the set of overrings of normal rings and related ring extensions. (English) Zbl 07729545
Splitting ring extensions. (English) Zbl 1524.13035
Reviewer: Dario Spirito (Padova)
Reductions of ideals in Prüfer rings. (English) Zbl 1518.13002
Reviewer: A. Mimouni (Dhahran)
Polynomial Dedekind domains with finite residue fields of prime characteristic. (English) Zbl 1522.13031
Reviewer: Gyu Whan Chang (Incheon)
The construction \(D + XD_S [X]\) and \(G\)-Prüfer domains. (English) Zbl 1522.13002
Reviewer: Qiao Lei (Chengdu)
On the incomparability of systems of sets of lengths. (English) Zbl 1526.20081
Reviewer: Grigori I. Zhitomirski (Herzliyya)
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