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Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 57-66 (2023).

Reviewer: Ivan D. Chipchakov (Sofia)

MSC: 16K20 16W60

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Dutta, Arpan; Kuhlmann, Franz-Viktor

Tame key polynomials. (English) Zbl 1522.13008

J. Algebra 629, 162-190 (2023).

Reviewer: Gerard Leloup (Le Mans)

MSC: 13A18 12J20 12J25

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Mirzaei, Fatemeh; Nekooei, Reza

Primary decomposition of submodules of a free module of finite rank over a Bézout domain. (English) Zbl 1523.13016

Bull. Korean Math. Soc. 60, No. 2, 475-484 (2023).

MSC: 13C10 13C99 13G99 13F30

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Nikseresht, Azadeh

Indecomposed semilocal Prüfer domains. (English) Zbl 1523.13032

Vietnam J. Math. 51, No. 2, 415-420 (2023).

MSC: 13F05 13B02 13F30

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Cassady, Connor

Hasse principles for quadratic forms over function fields. (English) Zbl 1527.11029

J. Algebra 628, 613-633 (2023).

Reviewer: Detlev Hoffmann (Dortmund)

MSC: 11E04 11E72 11E81 12F20 12G05 12J10 13J10 14G12

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Lorscheid, Oliver

A unifying approach to tropicalization. (English) Zbl 07678797

Trans. Am. Math. Soc. 376, No. 5, 3111-3189 (2023).

Reviewer: Dmitry Stepanov (Moskva)

MSC: 14A23 14T10 14A20 14G22 14M25 16Y60 13A18

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Moutui, Moutu Abdou Salam; Ouled Azaiez, Najib; Koç, Suat

Classes of trivial ring extensions and amalgamations subject to pseudo-almost valuation condition. (English) Zbl 1521.13028

Georgian Math. J. 30, No. 2, 269-276 (2023).

MSC: 13F05 13A15 13C10 13C11 13E05 13F20 13F30 16E60

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Spirito, Dario

Radical semistar operations. (English) Zbl 1509.13008

Commun. Algebra 51, No. 5, 2217-2231 (2023).

Reviewer: A. Mimouni (Dhahran)

MSC: 13A15 13A18 13F05 13F30 13G05

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Marubayashi, Hidetoshi; Prasetyo, Puguh Wahyu; Wijayanti, Indah Emilia

Rings of Morita contexts which are Dubrovin valuation rings. (English) Zbl 1509.16044

J. Algebra Appl. 22, No. 5, Article ID 2350229, 8 p. (2023).

MSC: 16W60 16D20 16N99

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Jakhar, Anuj; Kaur, Sumandeep; Khanduja, Sudesh K.

Discriminant and integral basis of quintic fields defined by \(x^5 + ax + b\). (English) Zbl 1520.11090

J. Algebra Appl. 22, No. 5, Article ID 2350109, 37 p. (2023).

Reviewer: Balasubramanian Sury (Bangalore)

MSC: 11R04 11R29

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Paudel, Lokendra; Tchamna, Simplice

A note on maximal non-Manis extensions. (English) Zbl 1509.13007

Beitr. Algebra Geom. 64, No. 1, 29-39 (2023).

Reviewer: Matthé van der Lee (Heemskerk)

MSC: 13A15 13A18 13B02

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Abyzov, Adel; Maklakov, Alexander

Locally algebraic linear operators and their centralizers. (English) Zbl 07658411

Linear Algebra Appl. 662, 1-17 (2023).

MSC: 47Axx 16S50 16D70 16W80

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Peruginelli, G.; Spirito, D.

Metrizability of spaces of valuation domains associated to pseudo-convergent sequences. (English) Zbl 1516.12001

J. Algebra Appl. 22, No. 2, Article ID 2350046, 23 p. (2023).

Reviewer: Moshe Roitman (Haifa)

MSC: 12J20 13A18 13F30

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Ahmed, Malik Tusif; Bakkari, Chahrazade; Mahdou, Najib; Riffi, Abdelkbir

A characterization of graded pseudo-valuation domains. (English) Zbl 1535.13002

J. Algebra Appl. 22, No. 2, Article ID 2350044, 14 p. (2023).

MSC: 13A02 13A15

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Sahmoudi, Mohammed; Charkani, Mohamed E.

On relative pure cyclic fields with power integral bases. (English) Zbl 07655817

Math. Bohem. 148, No. 1, 117-128 (2023).

MSC: 11Rxx 11R04 11R21 11Y40 11R16

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Phùng Hô Hài; dos Santos, João Pedro

Finite torsors on projective schemes defined over a discrete valuation ring. (English) Zbl 1515.14027

Algebr. Geom. 10, No. 1, 1-40 (2023).

MSC: 14F06 14F35 14L15 14G20 14L30

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Oki, Taihei

Computing valuations of the Dieudonné determinants. (English) Zbl 1506.12006

J. Symb. Comput. 116, 284-323 (2023).

MSC: 12J10 15A15 12E15 68W30

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Boughaleb, Omar; Soullami, Abderazak; Sahmoudi, Mohammed

On relative monogeneity of a family of number fields defined by \(X^{p^n}+aX^{p^s}-b\). (English) Zbl 1498.11213

Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 5, 13 p. (2023).

MSC: 11R04 11R11 11R21

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Alberich-Carramiñana, Maria; Guàrdia, Jordi; Nart, Enric; Roé, Joaquim

Valuative trees over valued fields. (English) Zbl 1505.13005

J. Algebra 614, 71-114 (2023).

Reviewer: José María Tornero (Sevilla)

MSC: 13A18 12J20 13J10 14E15

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au	author, editor
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a & b	logic and
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Found 2,267 Documents (Results 1–100)

A computational framework for weighted simplicial homology. (English) Zbl 07965143

The semitrivial ideal extension. (English) Zbl 07960589

The reciprocal complement of a curve. arXiv:2501.10094

Characterization of subfields of adelic algebras by a product formula. arXiv:2501.04365

Upper ramification groups for arbitrary valuation rings. (English) Zbl 07964473

Singular loci of algebras over ramified discrete valuation rings. (English) Zbl 07963332

Graded pseudo-valuation rings. (English) Zbl 07960121

Modules and rings satisfying strong accr. (English) Zbl 07956159

Model completeness for finitely ramified Henselian fields valued in a \(\mathbb{Z}\)-group and for pseudo-algebraically closed fields. (English) Zbl 07944239

Integral domains with a few semistar operations. (English) Zbl 07943140

Applications of generalized universal valuations. (English) Zbl 07942263

On strongly homogeneous prime ideals in a graded integral domain. (English) Zbl 07941618

Linkage of Pfister forms over semi-global fields. (English) Zbl 07930936

Cellular covers of divisible uniserial modules over valuation domains. (English) Zbl 07920529

An analytic viewpoint on the Hasse principle. (Un point de vue analytique sur le principe de Hasse.) (English. French summary) Zbl 07912279

On functional prime ideals in commutative rings. (English) Zbl 07909506

A class of almost uniserial rings. (English) Zbl 07906979

Ring structure of integer-valued rational functions. (English) Zbl 1545.13018

High powers in endomorphism rings over Dedekind domains. (English) Zbl 07905762

On the exponent of a certain quotient of Whitehead groups of division algebras. (English) Zbl 07903254

On graded pseudo 2-prime ideals. (English) Zbl 1547.13003

Maximal non-pseudovaluation subrings of an integral domain. (English) Zbl 07893388

Some properties of monoids with infinity. (English) Zbl 1545.20046

Core of an ideal in Prüfer domains. (English) Zbl 1546.13011

Finite intersection of valuation overrings of polynomial rings in at most three variables. (English) Zbl 1547.13025

On \(D\)-algebras between \(D[X]\) and \(\operatorname{Int}(D)\). (English) Zbl 1544.13029

Finiteness of cohomology for pro-locally proper maps. (English) Zbl 07861942

The dimension-overrings equation and maximal ideals of integral domains. (English) Zbl 1542.13006

Cohomology classes of complex approximable algebras. (English) Zbl 07852557

Algebraic valuation ring extensions as limits of complete intersection algebras. (English) Zbl 1546.13035

Maximal non-valuative domains. (English) Zbl 1541.13007

\(n\)-absorbing ideal factorization in commutative rings. (English) Zbl 07841619

An invariant of valuation transcendental extensions and its connection with key polynomials. (English) Zbl 1548.13008

Topological aspects of the ideal theory in rings of integer-valued polynomials. (English) Zbl 1544.13027

Commutative rings whose proper ideals decompose into local modules. (English) Zbl 1545.13009

Pseudo-Dedekind rings, semistar operations, and content formulas for power series. (English) Zbl 1537.13039

An injective-envelope-based characterization of distributive modules over commutative Noetherian rings. (English) Zbl 1537.13034

Some remarks on \(S\)-valuation domains. (English) Zbl 1541.13018

A connectedness theorem for spaces of valuation rings. (English) Zbl 1548.13010

Height reduction for local uniformization of varieties and non-Archimedean spaces. (English) Zbl 1548.14083

Divisibility properties of polynomial expressions of random integers. (English) Zbl 1545.11071

The factorial function and generalizations, extended. (English) Zbl 1537.11033

Almost \(\phi\)-integrally closed rings. (English) Zbl 1540.13012

Purity and quasi-split torsors over Prüfer bases. (Pureté et torseurs quasi-déployés sur les bases de Prüfer.) (English. French summary) Zbl 1548.14061

On real analogues of the Poincaré series. (English) Zbl 1530.14005

Valuations with an infinite limit-depth. (English) Zbl 1531.13002

Graded almost pseudo-valuation domains. (English) Zbl 1536.13002

The multivariate Serre conjecture ring. (English) Zbl 1540.13015

Absorbing prime multiplication modules over a pullback ring. (English) Zbl 1537.13015

A non-associative incidence near-ring with a generalized Möbius function. (English) Zbl 1541.05182

Discrete valuation rings, partitions and \(p\)-groups. I. (English) Zbl 1532.20025

Supertropical Monoids III: Factorization and splitting covers. arXiv:2408.10772

Arithmetic of cuts in ordered abelian groups and of ideals over valuation rings. arXiv:2406.10545

The ramification tree and almost Dedekind domains of prescribed SP-rank. arXiv:2405.04523

Valuations, bijections, and bases. arXiv:2405.00470

Some remarks on the comparability of ideals in semirings. (English) Zbl 07955598

Decomposing the radicals of polynomial ideals by rational univariate representations. (English) Zbl 1546.13032

On weakly prime ideals and weak Krull dimension. (English) Zbl 07860209

Immediate extensions of valuation rings and ultrapowers. (English) Zbl 07831167

An isomorphism problem for objects in categories related to finite dimensional division algebras having Henselian valuations. (Russian. English summary) Zbl 1535.16030

Khovanskii-finite rational curves of arithmetic genus 2. (English) Zbl 1540.14021

A valuation theorem for Noetherian rings. (English) Zbl 1541.13009

Erratic birational behavior of mappings in positive characteristic. (English) Zbl 1542.14018

The Mackey topology in linearly topologized modules. (English) Zbl 1538.13022

Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. (English) Zbl 1544.11092

Extensions of valuations to rational function fields over completions. (English) Zbl 1533.81026

Equations for the set of overrings of normal rings and related ring extensions. (English) Zbl 07729545

On wsq-primary ideals. (English) Zbl 07729515

Generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains. (English) Zbl 1533.11052

Reductions of ideals in Prüfer rings. (English) Zbl 1518.13002

Torsion-free extensions of projective modules by torsion modules. (English) Zbl 1540.13024

Abstract key polynomials and distinguished pairs. (English) Zbl 1523.12002

Definable valuations on ordered fields. (English) Zbl 1532.13002