Burns, David; Macias Castillo, Daniel; Seo, Soogil On Weil-Stark elements. I: Construction and general properties. (English) Zbl 07947525 J. Lond. Math. Soc., II. Ser. 110, No. 5, Article ID e70001, 39 p. (2024). MSC: 11R27 11R29 11R34 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Picavet, Gabriel; Picavet-L’Hermitte, Martine Distributive FCP extensions. (English) Zbl 07943143 J. Algebra Appl. 23, No. 13, Article ID 2450217, 47 p. (2024). MSC: 13B02 13B21 13B22 06D05 12F10 06E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferri, Fabio Leopoldt-type theorems for non-abelian extensions of \(\mathbb{Q}\). (English) Zbl 07940199 Glasg. Math. J. 66, No. 2, 308-337 (2024). MSC: 11R33 11Y40 16H20 11R04 11R21 11R32 11S20 13G05 16G30 16H10 16Z05 20C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ipek, Ahmet Integral representations of the Pell and Pell-Lucas numbers. (English) Zbl 07929037 J. Int. Math. Virtual Inst. 14, No. 1, 109-124 (2024). MSC: 11B39 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Ishida, Tetsuya; Nakamura, Kentaro Local \(\varepsilon\)-conjecture and \(p\)-adic differential equations. (English) Zbl 07921214 Doc. Math. 29, No. 5, 1125-1156 (2024). MSC: 11F80 11F85 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duque-Rosero, Juanita; Pries, Rachel The classifying element for quotients of Fermat curves. (English) Zbl 07909492 Commun. Algebra 52, No. 10, 4327-4341 (2024). MSC: 11D41 11G32 14F35 14H30 17B70 11F06 11F67 11G30 13A50 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnston, Henri; Torzewski, Alex On the existence of free sublattices of bounded index and arithmetic applications. (English) Zbl 07897476 J. Algebra 657, 81-108 (2024). MSC: 16H20 11R33 11R27 11G05 11G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosen, Julian; Takeyama, Yoshihiro; Tasaka, Koji; Yamamoto, Shuji The ring of finite algebraic numbers and its application to the law of decomposition of primes. (English) Zbl 07895033 J. Number Theory 263, 335-365 (2024). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R37 11R33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Assim, J.; Boughadi, Z.; Driwach, A. Twisted analogue of the Kummer-Leopoldt constant. (English) Zbl 07831610 New York J. Math. 30, 369-397 (2024). MSC: 11R23 11R70 11R34 × Cite Format Result Cite Review PDF Full Text: Link
Fité, Francesc On a local-global principle for quadratic twists of abelian varieties. (English) Zbl 07796282 Math. Ann. 388, No. 1, 769-794 (2024). Reviewer: Caleb Ji (New York) MSC: 11G10 14K15 14G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agboola, Adebisi; Burns, David John; Caputo, Luca; Kuang, Yu On the square root of the inverse different. (English) Zbl 1540.11158 Can. J. Math. 76, No. 1, 283-318 (2024). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R32 11R42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greither, Cornelius; Kataoka, Takenori Fitting ideals and various notions of equivalence for modules. (English) Zbl 1541.11095 Manuscr. Math. 173, No. 1-2, 259-291 (2024). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R33 13D02 13H10 × Cite Format Result Cite Review PDF Full Text: DOI
Bley, Werner; Hofmann, Tommy; Johnston, Henri Determination of the stably free cancellation property for orders. arXiv:2407.02294 Preprint, arXiv:2407.02294 [math.NT] (2024). MSC: 16H10 16H20 16Z05 20C05 20C10 11R33 11Y40 × Cite Format Result Cite Full Text: arXiv
Greither, Cornelius; Kataoka, Takenori On the Galois module structure of minus class groups. arXiv:2404.11823 Preprint, arXiv:2404.11823 [math.NT] (2024). MSC: 11R29 11R33 × Cite Format Result Cite Full Text: arXiv OA License
Fieker, Claus; Hofmann, Tommy Number Theory in OSCAR. arXiv:2404.06858 Preprint, arXiv:2404.06858 [math.NT] (2024). MSC: 11Y40 11-04 11R29 11R33 11R37 11N45 × Cite Format Result Cite Full Text: arXiv OA License
Kumon, Asuka; Lim, Donghyeok On Krull-Schmidt decompositions of unit groups of number fields. arXiv:2403.09420 Preprint, arXiv:2403.09420 [math.NT] (2024). MSC: 11R27 11R33 20C10 × Cite Format Result Cite Full Text: arXiv OA License
Yoo, Jinjoo; Lee, Yoonjin Infinite families of Artin-Schreier function fields with any prescribed class group rank. (English) Zbl 07939366 Can. J. Math. 76, No. 5, 1773-1794 (2024). MSC: 11R29 11R58 × Cite Format Result Cite Review PDF Full Text: DOI
Heller, Lauren; Mináč, Ján; Nguyen, Tung T.; Schultz, Andrew; Nguyễn Duy Tân Galois module structure of some elementary \(p\)-abelian extensions. (English) Zbl 07893776 Isr. J. Math. 257, No. 2, 389-408 (2023). Reviewer: Cindy Tsang (Tōkyō) MSC: 12F10 16D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balmer, Paul; Gallauer, Martin Permutation modules, Mackey functors, and Artin motives. (English) Zbl 1534.14005 Buan, Aslak Bakke (ed.) et al., Representations of algebras and related structures. International conference on representations of algebras, ICRA 2020, 9–25 November 2020. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 37-75 (2023). MSC: 14C15 12F10 18G80 20C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fakunle, Ilesanmi; Arawomo, Peter Olutola Hyers-Ulam stability theorems for second order nonlinear damped differential equations with forcing term. (English) Zbl 07815836 J. Niger. Math. Soc. 42, No. 1, 19-35 (2023). MSC: 26A46 34C10 11R33 35Q31 × Cite Format Result Cite Review PDF Full Text: Link
Kuang, Yu On Galois-Gauss sums and the square root of the inverse different. (English) Zbl 1540.11159 Acta Arith. 209, 319-355 (2023). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R33 19A31 16E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breuil, Christophe; Ding, Yiwen On a locally analytic local-global compatibility problem. (Sur un problème de compatibilité local-global localement analytique.) (French) Zbl 1540.22001 Memoirs of the American Mathematical Society 1442. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6547-6/pbk; 978-1-4704-7628-1/ebook). vii, 152 p. (2023). Reviewer: Laurent Berger (Lyon) MSC: 22-02 22E50 22E57 22E35 11F80 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bleher, Frauke M.; Chinburg, Ted; Gillibert, Jean Massey products and elliptic curves. (English) Zbl 1533.14014 Proc. Lond. Math. Soc. (3) 127, No. 1, 134-164 (2023). Reviewer: Bernhard Köck (Southampton) MSC: 14F20 55S30 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simon, Denis; Terracini, Lea Large algebraic integers. (English) Zbl 1535.11096 Int. J. Number Theory 19, No. 9, 2197-2214 (2023). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11H31 11R27 11R33 11Y40 11G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gow, Rod; McGuire, Gary On Galois groups of linearized polynomials related to the general linear group of prime degree. (English) Zbl 07734980 J. Number Theory 253, 368-377 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bavula, V. V. Classifications of prime ideals and simple modules of the Weyl algebra \(A_1\) in prime characteristic. (English) Zbl 1545.16026 Tokyo J. Math. 46, No. 1, 161-191 (2023). MSC: 16S36 16D70 16K20 16W20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bleher, Frauke M.; Wood, Adam The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces. (English) Zbl 1533.11120 J. Algebra 631, 756-803 (2023). Reviewer: David Joyner (Annapolis) MSC: 11G20 14H05 14G17 20C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Truman, Paul J. On \(\rho\)-conjugate Hopf-Galois structures. (English) Zbl 1526.16029 Proc. Edinb. Math. Soc., II. Ser. 66, No. 1, 288-304 (2023). Reviewer: Daniel Gil-Muñoz (Praha) MSC: 16T05 12F10 11S23 20N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuang, Yu On the Galois-Gauss sums of weakly ramified characters. (English) Zbl 1531.11107 New York J. Math. 29, 417-440 (2023). Reviewer: Henri Johnston (Exeter) MSC: 11R33 16E20 11S15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Vostokov, S. V.; Polyakov, V. M. The structure of formal modules as Galois modules in cyclic unramified \(p\)-extensions. (English. Russian original) Zbl 1529.11116 J. Math. Sci., New York 272, No. 3, 367-375 (2023); translation from Zap. Nauchn. Semin. POMI 500, 37-50 (2021). Reviewer: Kevin Keating (Gainesville) MSC: 11S31 11S15 11S20 11S23 × Cite Format Result Cite Review PDF Full Text: DOI
Chemotti, Frank; Mináč, Ján; Schultz, Andrew; Swallow, John Galois module structure of square power classes for biquadratic extensions. (English) Zbl 1525.12003 Can. J. Math. 75, No. 3, 804-827 (2023). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12F10 16D70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mináč, Ján; Schultz, Andrew; Swallow, John Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\). (English) Zbl 1521.12005 Manuscr. Math. 171, No. 1-2, 295-345 (2023). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12G05 12F10 12F12 16D70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matoušek, Milan; Pták, Pavel Orthosystems of submodules of a module. (English) Zbl 07675454 Commun. Algebra 51, No. 6, 2460-2471 (2023). MSC: 06A15 03G12 81P10 03C48 16D10 × Cite Format Result Cite Review PDF Full Text: DOI
Schmid, Peter Quaternion lattices and quaternion fields. (English) Zbl 1527.11084 Arch. Math. 120, No. 3, 253-261 (2023). Reviewer: James E. Carter (Charleston) MSC: 11R33 20C10 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Breen, Benjamin; Varma, Ila; Voight, John On unit signatures and narrow class groups of odd degree abelian number fields. (English) Zbl 1518.11078 Trans. Am. Math. Soc., Ser. B 10, 86-128 (2023). Reviewer: Günter Lettl (Graz) MSC: 11R27 11R29 11Y40 11R80 11R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mináč, Ján; Schultz, Andrew; Swallow, John Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\). (English) Zbl 1502.12005 J. Number Theory 242, 669-708 (2023). Reviewer: Ivo M. Michailov (Shumen) MSC: 12F12 12F10 12G05 11R23 11R32 16D70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Assim, J.; Boughadi, Z. On Greenberg’s generalized conjecture. (English) Zbl 1522.11112 J. Number Theory 242, 576-602 (2023). MSC: 11R23 11R32 11R34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burns, David; Lim, Donghyeok; Maire, Christian On the existence of Minkowski units. arXiv:2401.00181 Preprint, arXiv:2401.00181 [math.NT] (2023). MSC: 11R33 11R34 11R37 × Cite Format Result Cite Full Text: arXiv OA License
Bouazzaoui, Zakariae; Lim, Donghyeok On the Galois structure of units in totally real \(p\)-rational number fields. arXiv:2311.13525 Preprint, arXiv:2311.13525 [math.NT] (2023). MSC: 11R33 11R80 × Cite Format Result Cite Full Text: arXiv OA License
Elder, G. Griffith; Keating, Kevin Galois scaffolds for \(p\)-extensions in characteristic \(p\). arXiv:2308.02775 Preprint, arXiv:2308.02775 [math.NT] (2023). MSC: 11S15 11R33 14L15 16T05 × Cite Format Result Cite Full Text: arXiv OA License
Torti, Emiliano On congruences between lattices in crystalline representations of \(\mathrm{Gal}(\overline{\mathbb{Q}}_p,\mathbb{Q}_p)\) of dimension two. (English) Zbl 1525.11059 Rend. Semin. Mat., Univ. Politec. Torino 80, No. 1, 87-95 (2022). Reviewer: Kazuma Morita (Sapporo) MSC: 11F80 11F70 14G22 13F20 × Cite Format Result Cite Review PDF Full Text: Link
Bley, Werner; Hofmann, Tommy; Johnston, Henri Computation of lattice isomorphisms and the integral matrix similarity problem. (English) Zbl 1507.11101 Forum Math. Sigma 10, Paper No. e87, 36 p. (2022). Reviewer: James E. Carter (Charleston) MSC: 11R33 11Y40 16Z05 20G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elder, G. Griffith; Keating, Kevin Galois scaffolds for cyclic \(p^n\)-extensions in characteristic \(p\). (English) Zbl 1508.11107 Res. Number Theory 8, No. 4, Paper No. 75, 16 p. (2022). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11S15 11S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Futorny, Vyacheslav Representations of Lie algebras. (English) Zbl 1512.17008 São Paulo J. Math. Sci. 16, No. 1, 131-156 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17-02 17B65 17B67 × Cite Format Result Cite Review PDF Full Text: DOI
Greither, Cornelius A note on normal bases for the square root of the codifferent in local fields. (English) Zbl 1510.11157 Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 87-109 (2022). Reviewer: Pierre Guillot (Strasbourg) MSC: 11R33 11S23 × Cite Format Result Cite Review PDF Full Text: Link
Daoud, Alexandre On the structure of the module of Euler systems for a \(p\)-adic representation. (English) Zbl 1520.11054 New York J. Math. 28, 993-1041 (2022). Reviewer: Andreas Nickel (München) MSC: 11F80 11R23 11R33 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Picavet, Gabriel; Picavet-L’Hermitte, Martine Catenarian FCP ring extensions. (English) Zbl 07556950 J. Commut. Algebra 14, No. 1, 77-93 (2022). MSC: 13B02 13B21 13B22 12F10 13B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Seo, Soogil On universal norm elements and a problem of Coleman. (English) Zbl 1501.11100 Mosc. Math. J. 22, No. 1, 121-132 (2022). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R23 11R37 11R18 11R34 11R27 11S25 × Cite Format Result Cite Review PDF Full Text: Link
Keating, Kevin; Schwartz, Paul Galois scaffolds and Galois module structure for totally ramified \(C_{p^2}\)-extensions in characteristic 0. (English) Zbl 1500.11084 J. Number Theory 239, 113-136 (2022). Reviewer: Henri Johnston (Exeter) MSC: 11S15 11R33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macias Castillo, Daniel; Tsoi, Kwok-Wing On non-abelian higher special elements of \(p\)-adic representations. (English) Zbl 1509.11108 Isr. J. Math. 248, No. 1, 95-147 (2022). Reviewer: Andreas Nickel (München) MSC: 11R42 11G10 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiaselotti, G.; Infusino, F. Locally finite complexes, modules and generalized information systems. (English) Zbl 07522552 J. Algebra Appl. 21, No. 2, Article ID 2250033, 38 p. (2022). MSC: 05E45 06A15 06B23 16D10 68T30 68T37 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Rawashdeh, A.; Mesablishvili, B. Hilbert’s theorem 90 in monoidal categories. (English) Zbl 1486.18022 J. Algebra 602, 1-36 (2022). Reviewer: Sergejs Solovjovs (Praha) MSC: 18M05 13C60 18D15 18E50 18G35 46J99 × Cite Format Result Cite Review PDF Full Text: DOI
Gil-Muñoz, Daniel; Rio, Anna Hopf-Galois module structure of quartic Galois extensions of \(\mathbb{Q}\). (English) Zbl 1502.11115 J. Pure Appl. Algebra 226, No. 9, Article ID 107045, 31 p. (2022). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R33 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazhouda, Kamel; Sodaïgui, Bouchaïb; Taous, Mohammed On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2. (English) Zbl 1491.11105 Commun. Algebra 50, No. 4, 1446-1458 (2022). Reviewer: Isabelle Dubois (Metz) MSC: 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Mináč, Ján; Schultz, Andrew; Swallow, John On the indecomposability of a remarkable new family of modules appearing in Galois theory. (English) Zbl 1490.12003 J. Algebra 598, 194-235 (2022). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12F10 20C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gil-Muñoz, Daniel; Rio, Anna Induced Hopf Galois structures and their local Hopf Galois modules. (English) Zbl 1492.11151 Publ. Mat., Barc. 66, No. 1, 99-128 (2022). Reviewer: James E. Carter (Charleston) MSC: 11R33 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maurischat, Andreas Anderson \(t\)-modules with thin \(t\)-adic Galois representations. (English) Zbl 1494.11053 Proc. Am. Math. Soc. 150, No. 3, 927-940 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greither, Cornelius; Popescu, Cristian Picard 1-motives and Tate sequences for function fields. (English. French summary) Zbl 1486.11111 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835-852 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 11G20 11G25 11G45 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Del Corso, Ilaria; Ferri, Fabio; Lombardo, Davide How far is an extension of \(p\)-adic fields from having a normal integral basis? (English) Zbl 1487.11104 J. Number Theory 233, 158-197 (2022). Reviewer: Günter Lettl (Graz) MSC: 11R33 11R04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greither, Cornelius; Kataoka, Takenori; Kurihara, Masato Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields. (English) Zbl 1486.11132 Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022). Reviewer: Henri Johnston (Exeter) MSC: 11R23 11R33 11R34 11R42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sekigawa, Ryutaro Rikuna’s generic cyclic polynomial and the monogenity. (English) Zbl 1487.11098 J. Number Theory 231, 239-250 (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R18 11R16 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Duval, Guillaume Théorème de Chebotarev et Congruences de suites récurrentes linéaires, liens avec les algorithmes de factorisations sur \(\mathbb{F}_p\). arXiv:2208.08899 Preprint, arXiv:2208.08899 [math.NT] (2022). MSC: 11R44 11N05 11R33 11A99 × Cite Format Result Cite Full Text: arXiv
Ray, Jishnu; Wei, Feng; Zábrádi, Gergely Multivariable \((\varphi ,\Gamma )\)-modules and representations of products of Galois groups: the case of the imperfect residue field. (\((\varphi ,\Gamma )\)-modules multivariables et représentations du produit du groupe de Galois : le cas des corps résiduels imparfaits.) (English. French summary) Zbl 1497.11283 Bull. Soc. Math. Fr. 149, No. 3, 521-546 (2021). MSC: 11S37 11S20 20G05 20G25 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banaszak, Grzegorz; Kaim-Garnek, Aleksandra The Tate module of a simple abelian variety of type IV. (English) Zbl 1483.11121 New York J. Math. 27, 1240-1257 (2021). MSC: 11G10 16K20 11F80 × Cite Format Result Cite Review PDF Full Text: Link
Bullach, Dominik; Daoud, Alexandre On universal norms for \(p\)-adic representations in higher-rank Iwasawa theory. (English) Zbl 1483.11106 Acta Arith. 201, No. 1, 63-108 (2021). MSC: 11F80 11R23 11R33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayad, Abdelmejid; Seddik, Mohammed On the indices in number fields and their computation for small degrees. (English) Zbl 1499.11313 Appl. Anal. Discrete Math. 15, No. 1, 27-44 (2021). MSC: 11R04 11R33 11R16 × Cite Format Result Cite Review PDF Full Text: DOI
Childs, Lindsay N.; Greither, Cornelius; Keating, Kevin P.; Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert G. Hopf algebras and Galois module theory. (English) Zbl 1489.16001 Mathematical Surveys and Monographs 260. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6516-2/pbk; 978-1-4704-6737-1/ebook). vii, 311 p. (2021). Reviewer: Cindy Tsang (Tokyo) MSC: 16-02 16T05 11R33 11S15 12F10 20B35 16T25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 07453484 J. Geom. Mech. 13, No. 3, 385-402 (2021). Reviewer: Timothy Porter (Llandegfan) MSC: 17-03 17B55 01A60 17B66 18G45 12G05 12H05 20J05 53-03 53D17 55Q15 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crivei, Septimiu; Keskin Tütüncü, Derya Relatively divisible and relatively flat objects in exact categories. (English) Zbl 1475.18011 J. Algebra Appl. 20, No. 5, Article ID 2150088, 22 p. (2021). MSC: 18E10 18G50 16D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Kaoutit, Laiachi; Gómez-Torrecillas, José On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. (English) Zbl 1482.12004 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 1, 53-121 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H20 16T05 17B37 16D90 16T10 58H05 13N15 12H05 13N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iadarola, Angelo; Sodaïgui, Bouchaïb Relative Galois structure of the square root of the codifferent of non-abelian metacyclic extensions. (Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes.) (French. English summary) Zbl 1490.11109 Acta Arith. 199, No. 4, 413-432 (2021). Reviewer: Bernhard Köck (Southampton) MSC: 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Bulacu, D.; Torrecillas, B. Galois and cleft monoidal cowreaths. Applications. (English) Zbl 1483.16031 Memoirs of the American Mathematical Society 1322. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4752-6/pbk; 978-1-4704-6532-2/ebook). v, 133 p. (2021). Reviewer: Ramón González Rodríguez (Vigo) MSC: 16T05 18M05 17B37 81R50 16D90 16T15 16W20 × Cite Format Result Cite Review PDF Full Text: DOI
Cobbe, Alessandro A representative of \(R{\Gamma}(N,T)\) for higher dimensional twists of \(\mathbb{Z}_p^r(1)\). (English) Zbl 1483.11256 Int. J. Number Theory 17, No. 8, 1925-1949 (2021). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11S23 11S25 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greither, Cornelius; Kučera, Radan Washington units, semispecial units, and annihilation of class groups. (English) Zbl 1479.11186 Manuscr. Math. 166, No. 1-2, 277-286 (2021). Reviewer: Günter Lettl (Graz) MSC: 11R20 11R27 × Cite Format Result Cite Review PDF Full Text: DOI
Sodaïgui, Bouchaïb On the relative Galois structure of powers of the different and Stickelberger ideals. (Sur la structure galoisienne relative de puissances de la différente et idéaux de Stickelberger.) (French. English summary) Zbl 1482.11151 Int. J. Number Theory 17, No. 7, 1645-1664 (2021). Reviewer: Lawrence C. Washington (College Park) MSC: 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Picavet, Gabriel; Picavet-L’Hermitte, Martine The Loewy series of an FCP (distributive) ring extension. (English) Zbl 1471.13021 Int. Electron. J. Algebra 29, 15-49 (2021). Reviewer: Owen Biesel (Northfield) MSC: 13B02 13B21 13B22 06E05 06D05 13B30 12F10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Gunton, Cody Semistable abelian varieties and maximal torsion 1-crystalline submodules. (English. French summary) Zbl 1494.11093 J. Théor. Nombres Bordx. 33, No. 1, 39-81 (2021). Reviewer: G. K. Sankaran (Bath) MSC: 11R34 11R33 11G10 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shan Wen Kato’s Euler system in families. II. (Le système d’Euler de Kato en famillie. II.) (English) Zbl 1469.11166 Acta Math. Sin., Engl. Ser. 37, No. 1, 173-204 (2021). MSC: 11F85 11F67 11G40 11R33 11S80 14G10 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Sodaïgui, Bouchaïb; Taous, Mohammed On realizable Galois module classes by the inverse different. (English) Zbl 1465.11223 Commun. Algebra 49, No. 2, 763-771 (2021). Reviewer: Günter Lettl (Graz) MSC: 11R33 × Cite Format Result Cite Review PDF Full Text: DOI
Chiaselotti, Giampiero; Infusino, F. Some classes of abstract simplicial complexes motivated by module theory. (English) Zbl 1452.13027 J. Pure Appl. Algebra 225, No. 1, Article ID 106471, 44 p. (2021). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13F55 18D15 18D20 06F20 06A15 08A02 16D10 × Cite Format Result Cite Review PDF Full Text: DOI
Grandis, Marco An elementary overview of mathematical structures. Algebra, topology and categories. (English) Zbl 1468.18001 Hackensack, NJ: World Scientific (ISBN 978-981-12-2031-9/hbk; 978-981-12-2033-3/ebook). x, 382 p. (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 18-01 06-01 08-01 13-01 46H05 54-01 55M99 55U99 × Cite Format Result Cite Review PDF Full Text: DOI
Tronto, Sebastiano Division in modules and Kummer theory. arXiv:2111.14363 Preprint, arXiv:2111.14363 [math.AC] (2021). MSC: 13C11 16D10 16D90 11F80 11G05 × Cite Format Result Cite Full Text: arXiv OA License
Pridham, Jonathan P. Tannaka duality for enhanced triangulated categories. I: Reconstruction. (English) Zbl 1477.18031 J. Noncommut. Geom. 14, No. 2, 591-637 (2020). MSC: 18G80 14A30 14F42 16D90 16E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
di Micco, Davide; Van der Linden, Tim Universal central extensions of internal crossed modules via the non-abelian tensor product. (English) Zbl 1511.18008 Appl. Categ. Struct. 28, No. 5, 717-748 (2020). Reviewer: George Janelidze (Cape Town) MSC: 18E50 18G45 18E13 18D40 20J05 17B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Qijian Integral basis and power integral basis of cubic field. (Chinese. English summary) Zbl 1474.11183 Acta Math. Sin., Chin. Ser. 63, No. 5, 489-494 (2020). MSC: 11R04 11R33 × Cite Format Result Cite Review PDF
Benois, Denis \(p\)-adic heights and \(p\)-adic Hodge theory. (English. French summary) Zbl 1465.11207 Mém. Soc. Math. Fr., Nouv. Sér. 167, 1-135 (2020). MSC: 11R23 11F80 11S25 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mantilla-Soler, Guillermo; Rivera-Guaca, Carlos A proof of a conjecture on trace-zero forms and shapes of number fields. (English) Zbl 1478.11128 Res. Number Theory 6, No. 3, Paper No. 35, 22 p. (2020). Reviewer: Lhoussain El Fadil (Fès) MSC: 11R04 11R33 11R21 11R29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hofmann, Tommy; Johnston, Henri Computing isomorphisms between lattices. (English) Zbl 1452.11134 Math. Comput. 89, No. 326, 2931-2963 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11R33 11Y40 16Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hida, Haruzo; Tilouine, Jacques Symmetric power congruence ideals and Selmer groups. (English) Zbl 1479.11073 J. Inst. Math. Jussieu 19, No. 5, 1521-1572 (2020). Reviewer: Goran Muić (Zagreb) MSC: 11F33 11F80 × Cite Format Result Cite Review PDF Full Text: DOI
Cigoli, Alan S.; Duvieusart, Arnaud; Gran, Marino; Mantovani, Sandra Galois theory and the categorical Peiffer commutator. (English) Zbl 1440.18010 Homology Homotopy Appl. 22, No. 2, 323-346 (2020). MSC: 18C40 18E13 18G45 20J15 17B55 20J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nickel, Andreas A generalization of a theorem of Swan with applications to Iwasawa theory. (English) Zbl 1442.11146 Can. J. Math. 72, No. 3, 656-675 (2020). Reviewer: Wei Feng (Beijing) MSC: 11R23 11R34 11S23 11S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Picavet, Gabriel; Picavet-L’Hermitte, Martine Boolean FIP ring extensions. (English) Zbl 1439.13023 Commun. Algebra 48, No. 5, 1821-1852 (2020). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 13B02 13B21 13B22 06E05 06C10 13B30 12F10 06E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Alonso, Rogelio; Magaña, Janeth Galois connections between lattices of preradicals induced by ring epimorphisms. (English) Zbl 1453.16032 J. Algebra Appl. 19, No. 3, Article ID 2050045, 17 p. (2020). Reviewer: Frieda Theron (Potchefstroom) MSC: 16S90 06A15 18A40 16D40 × Cite Format Result Cite Review PDF Full Text: DOI
Bley, Werner; Burns, David; Hahn, Carl On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification. (English) Zbl 1451.11121 Ann. \(K\)-Theory 5, No. 1, 79-140 (2020). Reviewer: Andreas Nickel (Essen) MSC: 11R33 16E20 19A49 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ash, Avner; Gunnells, Paul E.; McConnell, Mark Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations. (English) Zbl 1445.11043 J. Algebra 553, 211-247 (2020). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F75 11F67 20J06 20E42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grosse-Klönne, Elmar Supersingular Hecke modules as Galois representations. (English) Zbl 1436.11058 Algebra Number Theory 14, No. 1, 67-118 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Truman, Paul J. Hopf-Galois module structure of tamely ramified radical extensions of prime degree. (English) Zbl 1445.11130 J. Pure Appl. Algebra 224, No. 5, Article ID 106231, 13 p. (2020). Reviewer: Henri Johnston (Exeter) MSC: 11R33 16S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Keating, Kevin Galois scaffolds and semistable extensions. (English) Zbl 1442.11159 J. Number Theory 207, 110-121 (2020). Reviewer: Thomas Schmidt (Corvallis) MSC: 11S15 11S20 11R33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kashu, Alexei I. Adjoint functors, preradicals and closure operators in module categories. (English) Zbl 1453.16008 Algebra Discrete Math. 28, No. 2, 260-277 (2019). MSC: 16D90 16S90 18A40 18E40 06A15 × Cite Format Result Cite Review PDF Full Text: Link
Ichimura, Humio Corrigendum to: “Real abelian fields satisfying the Hilbert-Speiser condition for some small primes \(p\)”. (English) Zbl 1436.11136 Proc. Japan Acad., Ser. A 95, No. 7, 80-82 (2019). MSC: 11R33 11R18 × Cite Format Result Cite Review PDF Full Text: DOI Euclid