Sun, Xiaosong; Liu, Dayan Images of locally nilpotent derivations of polynomial algebras in three variables. (English) Zbl 07286489 J. Algebra 569, 401-415 (2021). Reviewer: Yan Dan (Changsha) MSC: 14R10 14R15 13N15 PDF BibTeX XML Cite \textit{X. Sun} and \textit{D. Liu}, J. Algebra 569, 401--415 (2021; Zbl 07286489) Full Text: DOI
Milliet, Cédric Pseudo-linear algebra over a division ring. (English) Zbl 07286479 J. Algebra 569, 143-168 (2021). MSC: 14R99 14A22 12E15 03C45 03C60 PDF BibTeX XML Cite \textit{C. Milliet}, J. Algebra 569, 143--168 (2021; Zbl 07286479) Full Text: DOI
van den Essen, Arno; Kuroda, Shigeru; Crachiola, Anthony J. Polynomial automorphisms and the Jacobian conjecture. New results from the beginning of the 21st century (to appear). (English) Zbl 07283209 Frontiers in Mathematics. Basel: Birkhäuser/Springer (ISBN 978-3-030-60533-9/pbk). x, 191 p. (2021). MSC: 14-02 14R10 14R15 PDF BibTeX XML Cite \textit{A. van den Essen} et al., Polynomial automorphisms and the Jacobian conjecture. New results from the beginning of the 21st century (to appear). Basel: Birkhäuser/Springer (2021; Zbl 07283209)
Chakraborty, Sagnik; Dasgupta, Nikhilesh; Dutta, Amartya Kumar; Gupta, Neena Some results on retracts of polynomial rings. (English) Zbl 07282598 J. Algebra 567, 243-268 (2021). MSC: 13B25 14A10 14R25 13N15 PDF BibTeX XML Cite \textit{S. Chakraborty} et al., J. Algebra 567, 243--268 (2021; Zbl 07282598) Full Text: DOI
Castañeda, Álvaro; van den Essen, Arno A new class of nilpotent Jacobians in any dimension. (English) Zbl 07268493 J. Algebra 566, 283-301 (2021). Reviewer: Yan Dan (Changsha) MSC: 14R15 14R10 PDF BibTeX XML Cite \textit{Á. Castañeda} and \textit{A. van den Essen}, J. Algebra 566, 283--301 (2021; Zbl 07268493) Full Text: DOI
Alon, Gil; Paran, Elad A quaternionic Nullstellensatz. (English) Zbl 07264676 J. Pure Appl. Algebra 225, No. 4, Article ID 106572, 9 p. (2021). MSC: 16S36 14R99 PDF BibTeX XML Cite \textit{G. Alon} and \textit{E. Paran}, J. Pure Appl. Algebra 225, No. 4, Article ID 106572, 9 p. (2021; Zbl 07264676) Full Text: DOI
Asanuma, Teruo; Dutta, Amartya Kumar On a residual coordinate which is a non-trivial line. (English) Zbl 1448.13013 J. Pure Appl. Algebra 225, No. 4, Article ID 106523, 6 p. (2021). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13B25 14R25 14R10 PDF BibTeX XML Cite \textit{T. Asanuma} and \textit{A. K. Dutta}, J. Pure Appl. Algebra 225, No. 4, Article ID 106523, 6 p. (2021; Zbl 1448.13013) Full Text: DOI
Arzhantsev, Ivan; Liendo, Alvaro; Stasyuk, Taras Lie algebras of vertical derivations on semiaffine varieties with torus actions. (English) Zbl 1450.14010 J. Pure Appl. Algebra 225, No. 2, Article ID 106499, 17 p. (2021). MSC: 14M25 14R20 14L30 13N15 17B66 PDF BibTeX XML Cite \textit{I. Arzhantsev} et al., J. Pure Appl. Algebra 225, No. 2, Article ID 106499, 17 p. (2021; Zbl 1450.14010) Full Text: DOI
Langlois, Kevin Corrigendum to “Polyhedral divisors and torus actions of complexity one over arbitrary fields”. (English) Zbl 1442.14192 J. Pure Appl. Algebra 225, No. 1, Article ID 106457, 1 p. (2021). MSC: 14R20 14M25 12F10 PDF BibTeX XML Cite \textit{K. Langlois}, J. Pure Appl. Algebra 225, No. 1, Article ID 106457, 1 p. (2021; Zbl 1442.14192) Full Text: DOI
Fujino, Osamu Corrigendum to: “On subadditivity of the logarithmic Kodaira dimension”. (English) Zbl 07290146 J. Math. Soc. Japan 72, No. 4, 1181-1187 (2020). MSC: 14R05 14E30 PDF BibTeX XML Cite \textit{O. Fujino}, J. Math. Soc. Japan 72, No. 4, 1181--1187 (2020; Zbl 07290146) Full Text: DOI Euclid
Bly, Mark An automorphic classification of real cubic curves. (English) Zbl 07274821 Rocky Mt. J. Math. 50, No. 5, 1583-1597 (2020). MSC: 14H10 14P05 14R10 14H37 PDF BibTeX XML Cite \textit{M. Bly}, Rocky Mt. J. Math. 50, No. 5, 1583--1597 (2020; Zbl 07274821) Full Text: DOI Euclid
Kutzschebauch, Frank Manifolds with infinite dimensional group of holomorphic automorphisms and the linearization problem. (English) Zbl 07274143 Ji, Lizhen (ed.) et al., Handbook of group actions V. Somerville, MA: International Press; Bejing: Higher Education Press (ISBN 978-1-57146-390-6/pbk). Advanced Lectures in Mathematics (ALM) 48, 257-300 (2020). MSC: 32M05 14R20 14R10 14L30 32M25 32Q56 PDF BibTeX XML Cite \textit{F. Kutzschebauch}, in: Handbook of group actions V. Somerville, MA: International Press; Bejing: Higher Education Press. 257--300 (2020; Zbl 07274143)
Jelonek, Zbigniew; Lasoń, Michał Quantitative properties of the non-properness set of a polynomial map, a positive characteristic case. (English) Zbl 1446.14039 J. Algebra Appl. 19, No. 10, Article ID 2050192, 6 p. (2020). MSC: 14R25 PDF BibTeX XML Cite \textit{Z. Jelonek} and \textit{M. Lasoń}, J. Algebra Appl. 19, No. 10, Article ID 2050192, 6 p. (2020; Zbl 1446.14039) Full Text: DOI
Braun, Francisco; Dias, Luis Renato Gonçalves; Venato-Santos, Jean On topological approaches to the Jacobian conjecture in \(\mathbb{C}^n\). (English) Zbl 1446.14038 Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 666-675 (2020). Reviewer: Yan Dan (Changsha) MSC: 14R15 14D06 58K15 57R45 35F05 35A30 PDF BibTeX XML Cite \textit{F. Braun} et al., Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 666--675 (2020; Zbl 1446.14038) Full Text: DOI
Aghajani, Mohsen; Tarizadeh, Abolfazl Characterizations of Gelfand rings specially clean rings and their dual rings. (English) Zbl 1448.14001 Result. Math. 75, No. 3, Paper No. 125, 24 p. (2020). Reviewer: François Couchot (Caen) MSC: 14A05 14A15 14R05 14R10 13A99 13B10 13E05 13H99 PDF BibTeX XML Cite \textit{M. Aghajani} and \textit{A. Tarizadeh}, Result. Math. 75, No. 3, Paper No. 125, 24 p. (2020; Zbl 1448.14001) Full Text: DOI
Arzhantsev, Ivan; Bragin, Sergey; Zaitseva, Yulia Commutative algebraic monoid structures on affine spaces. (English) Zbl 07245904 Commun. Contemp. Math. 22, No. 8, Article ID 1950064, 23 p. (2020). MSC: 20M14 20M32 14R20 20G15 PDF BibTeX XML Cite \textit{I. Arzhantsev} et al., Commun. Contemp. Math. 22, No. 8, Article ID 1950064, 23 p. (2020; Zbl 07245904) Full Text: DOI
El Kahoui, M’hammed; Essamaoui, Najoua; Ouali, Mustapha Interpolation in the automorphism group of a polynomial ring. (English) Zbl 1441.13024 Algebra Colloq. 27, No. 3, 587-598 (2020). MSC: 13B25 14R10 PDF BibTeX XML Cite \textit{M. El Kahoui} et al., Algebra Colloq. 27, No. 3, 587--598 (2020; Zbl 1441.13024) Full Text: DOI
Borisov, Alexander Frameworks for two-dimensional Keller maps. (English) Zbl 1442.14189 Electron. J. Comb. 27, No. 3, Research Paper P3.54, 28 p. (2020). Reviewer: Yan Dan (Changsha) MSC: 14R15 14J26 14E30 14E05 05C05 PDF BibTeX XML Cite \textit{A. Borisov}, Electron. J. Comb. 27, No. 3, Research Paper P3.54, 28 p. (2020; Zbl 1442.14189) Full Text: DOI
Crode, Sidney Dale; Shestakov, Ivan P. Locally nilpotent derivations and automorphisms of free associative algebra with two generators. (English) Zbl 07243447 Commun. Algebra 48, No. 7, 3091-3098 (2020). MSC: 16S10 16W20 16W25 14R10 13F20 13B25 13N15 PDF BibTeX XML Cite \textit{S. D. Crode} and \textit{I. P. Shestakov}, Commun. Algebra 48, No. 7, 3091--3098 (2020; Zbl 07243447) Full Text: DOI
Mundici, Daniele Complete and computable orbit invariants in the geometry of the affine group over the integers. (English) Zbl 1442.13016 Ann. Mat. Pura Appl. (4) 199, No. 5, 1843-1871 (2020). Reviewer: Nan Ji-Zhu (Dalian) MSC: 13A50 11D09 11E16 11H55 14G05 14H50 14L24 14M25 14R20 20H25 PDF BibTeX XML Cite \textit{D. Mundici}, Ann. Mat. Pura Appl. (4) 199, No. 5, 1843--1871 (2020; Zbl 1442.13016) Full Text: DOI
Nagaoka, Masaru On compactifications of affine homology 3-cells into quadric fibrations. (English) Zbl 07242575 J. Algebra 563, 1-29 (2020). MSC: 14R10 14E30 14J30 PDF BibTeX XML Cite \textit{M. Nagaoka}, J. Algebra 563, 1--29 (2020; Zbl 07242575) Full Text: DOI
Langlois, Kevin Models of affine curves and \(\mathbb{G}_a\)-actions. (English) Zbl 1440.14275 Bourqui, David (ed.) et al., Arc schemes and singularities. Hackensack, NJ: World Scientific. 113-119 (2020). MSC: 14R20 14R10 PDF BibTeX XML Cite \textit{K. Langlois}, in: Arc schemes and singularities. Hackensack, NJ: World Scientific. 113--119 (2020; Zbl 1440.14275) Full Text: DOI
Daigle, Daniel Rings with trivial FML-invariant. (English) Zbl 07239289 Transform. Groups 25, No. 3, 707-724 (2020). MSC: 14L 14R PDF BibTeX XML Cite \textit{D. Daigle}, Transform. Groups 25, No. 3, 707--724 (2020; Zbl 07239289) Full Text: DOI
Dutta, Amartya Kumar; Gupta, Neena; Lahiri, Animesh On seperable \(\mathbb{A}^2\) and \(\mathbb{A}^3\)-forms. (English) Zbl 07236581 Nagoya Math. J. 239, 346-354 (2020). MSC: 14R10 13B25 12F10 14R25 13A50 PDF BibTeX XML Cite \textit{A. K. Dutta} et al., Nagoya Math. J. 239, 346--354 (2020; Zbl 07236581) Full Text: DOI
Braun, Lukas; Hättig, Daniel Canonical threefold singularities with a torus action of complexity one and \(k\)-empty polytopes. (English) Zbl 07235587 Rocky Mt. J. Math. 50, No. 3, 881-939 (2020). MSC: 14B05 14M25 11B57 14R05 52B20 PDF BibTeX XML Cite \textit{L. Braun} and \textit{D. Hättig}, Rocky Mt. J. Math. 50, No. 3, 881--939 (2020; Zbl 07235587) Full Text: DOI Euclid
Gaddis, Jason; Wang, Xingting The Zariski cancellation problem for Poisson algebras. (English) Zbl 07226680 J. Lond. Math. Soc., II. Ser. 101, No. 3, 1250-1279 (2020). MSC: 17B63 16W25 14R10 PDF BibTeX XML Cite \textit{J. Gaddis} and \textit{X. Wang}, J. Lond. Math. Soc., II. Ser. 101, No. 3, 1250--1279 (2020; Zbl 07226680) Full Text: DOI
Kuyumzhiyan, Karine Infinite transitivity for Calogero-Moser spaces. (English) Zbl 07223733 Proc. Am. Math. Soc. 148, No. 9, 3723-3731 (2020). MSC: 14R20 14L30 14J50 PDF BibTeX XML Cite \textit{K. Kuyumzhiyan}, Proc. Am. Math. Soc. 148, No. 9, 3723--3731 (2020; Zbl 07223733) Full Text: DOI
Ganatra, Sheel; Pomerleano, Daniel Symplectic cohomology rings of affine varieties in the topological limit. (English) Zbl 07219752 Geom. Funct. Anal. 30, No. 2, 334-456 (2020). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 53D40 53D12 53D18 14R10 14J32 32Q25 PDF BibTeX XML Cite \textit{S. Ganatra} and \textit{D. Pomerleano}, Geom. Funct. Anal. 30, No. 2, 334--456 (2020; Zbl 07219752) Full Text: DOI
Alimbaev, A. A.; Nauryzbaev, R. Zh.; Umirbaev, U. U. On the automorphisms of a free Lie algebra of rank 3 over an integral domain. (English. Russian original) Zbl 07214581 Sib. Math. J. 61, No. 1, 1-10 (2020); translation from Sib. Mat. Zh. 61, No. 1, 3-16 (2020). MSC: 17B01 16S10 17A30 17A70 16W20 17A50 14R10 PDF BibTeX XML Cite \textit{A. A. Alimbaev} et al., Sib. Math. J. 61, No. 1, 1--10 (2020; Zbl 07214581); translation from Sib. Mat. Zh. 61, No. 1, 3--16 (2020) Full Text: DOI
Bik, Arthur; Draisma, Jan; Oneto, Alessandro; Ventura, Emanuele The monic rank. (English) Zbl 1443.14062 Math. Comput. 89, No. 325, 2481-2505 (2020). Reviewer: Nathan Grieve (Ottawa) MSC: 14R20 13P10 15A21 PDF BibTeX XML Cite \textit{A. Bik} et al., Math. Comput. 89, No. 325, 2481--2505 (2020; Zbl 1443.14062) Full Text: DOI
Kudou, Riku About counterexamples for generalized Zariski cancellation problem. (English) Zbl 1440.14274 Commun. Algebra 48, No. 6, 2358-2368 (2020). MSC: 14R10 PDF BibTeX XML Cite \textit{R. Kudou}, Commun. Algebra 48, No. 6, 2358--2368 (2020; Zbl 1440.14274) Full Text: DOI
Hu, Jiawei; Vercruysse, Joost Geometrically partial actions. (English) Zbl 07207628 Trans. Am. Math. Soc. 373, No. 6, 4085-4143 (2020). MSC: 18M05 16T05 14R20 PDF BibTeX XML Cite \textit{J. Hu} and \textit{J. Vercruysse}, Trans. Am. Math. Soc. 373, No. 6, 4085--4143 (2020; Zbl 07207628) Full Text: DOI
Kaliman, Shulim; Kutzschebauch, Frank; Leuenberger, Matthias Complete algebraic vector fields on affine surfaces. (English) Zbl 07206088 Int. J. Math. 31, No. 3, Article ID 2050018, 50 p. (2020). MSC: 14R20 32M17 PDF BibTeX XML Cite \textit{S. Kaliman} et al., Int. J. Math. 31, No. 3, Article ID 2050018, 50 p. (2020; Zbl 07206088) Full Text: DOI
Kaliman, Shulim Extensions of isomorphisms of subvarieties in flexible varieties. (English) Zbl 07205376 Transform. Groups 25, No. 2, 517-575 (2020). MSC: 14M 14E 14R 14R10 14R15 14E25 14M07 14M20 PDF BibTeX XML Cite \textit{S. Kaliman}, Transform. Groups 25, No. 2, 517--575 (2020; Zbl 07205376) Full Text: DOI
Osińska-Ulrych, Beata; Rodak, Tomasz; Skalski, Grzegorz; Spodzieja, Stanisław Topological triviality of deformations of regular mappings. (English) Zbl 1443.14064 Bull. Sci. Math. 161, Article ID 102870, 20 p. (2020). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14R99 32S15 14P05 PDF BibTeX XML Cite \textit{B. Osińska-Ulrych} et al., Bull. Sci. Math. 161, Article ID 102870, 20 p. (2020; Zbl 1443.14064) Full Text: DOI
Jędrzejewicz, Piotr; Marciniak, Mikołaj; Matysiak, Łukasz; Zieliński, Janusz On properties of square-free elements in commutative cancellative monoids. (English) Zbl 1442.14191 Semigroup Forum 100, No. 3, 850-870 (2020). Reviewer: Yan Dan (Changsha) MSC: 14R15 PDF BibTeX XML Cite \textit{P. Jędrzejewicz} et al., Semigroup Forum 100, No. 3, 850--870 (2020; Zbl 1442.14191) Full Text: DOI
Kollár, János Pell surfaces. (English) Zbl 07200111 Acta Math. Hung. 160, No. 2, 478-518 (2020). MSC: 14J26 14G25 11D09 14R25 11D57 PDF BibTeX XML Cite \textit{J. Kollár}, Acta Math. Hung. 160, No. 2, 478--518 (2020; Zbl 07200111) Full Text: DOI
Palka, Karol; Pełka, Tomasz Classification of planar rational cuspidal curves. II: Log del Pezzo models. (English) Zbl 07194980 Proc. Lond. Math. Soc. (3) 120, No. 5, 642-703 (2020). MSC: 14H50 14J17 14J26 14R25 PDF BibTeX XML Cite \textit{K. Palka} and \textit{T. Pełka}, Proc. Lond. Math. Soc. (3) 120, No. 5, 642--703 (2020; Zbl 07194980) Full Text: DOI
Lewis, D. Normal subgroups generated by a single polynomial automorphism. (English) Zbl 1445.14083 Transform. Groups 25, No. 1, 177-189 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14R10 PDF BibTeX XML Cite \textit{D. Lewis}, Transform. Groups 25, No. 1, 177--189 (2020; Zbl 1445.14083) Full Text: DOI
de Bondt, Michiel; Sun, Xiaosong Quadratic tame generators problem of rank three. (English) Zbl 1437.14065 Linear Algebra Appl. 587, 1-22 (2020). Reviewer: Yan Dan (Changsha) MSC: 14R10 14R15 PDF BibTeX XML Cite \textit{M. de Bondt} and \textit{X. Sun}, Linear Algebra Appl. 587, 1--22 (2020; Zbl 1437.14065) Full Text: DOI
Kuroda, Shigeru (ed.); Onoda, Nobuharu (ed.); Freudenburg, Gene (ed.) Polynomial rings and affine algebraic geometry. PRAAG 2018, Tokyo, Japan, February 12–16. (English) Zbl 07190056 Springer Proceedings in Mathematics & Statistics. Cham: Springer (ISBN 978-3-030-42136-6/hbk; 978-3-030-42136-6/ebook). x, 315 p. (2020). MSC: 13-06 14-06 00B25 13F20 14Rxx PDF BibTeX XML Cite \textit{S. Kuroda} (ed.) et al., Polynomial rings and affine algebraic geometry. PRAAG 2018, Tokyo, Japan, February 12--16. Cham: Springer (2020; Zbl 07190056) Full Text: DOI
Galindo, Carlos; Hernando, Fernando; Munuera, Carlos Locally recoverable \(J\)-affine variety codes. (English) Zbl 07189008 Finite Fields Appl. 64, Article ID 101661, 22 p. (2020). Reviewer: Nikolai L. Manev (Sofia) MSC: 94B27 94B05 14R99 11T71 14G50 PDF BibTeX XML Cite \textit{C. Galindo} et al., Finite Fields Appl. 64, Article ID 101661, 22 p. (2020; Zbl 07189008) Full Text: DOI
Sen, Sourav A note on the rigid core of affine surfaces. (English) Zbl 1436.13013 Arch. Math. 114, No. 4, 377-381 (2020). MSC: 13A50 14R20 13F15 13F20 PDF BibTeX XML Cite \textit{S. Sen}, Arch. Math. 114, No. 4, 377--381 (2020; Zbl 1436.13013) Full Text: DOI
Bhatwadekar, S. M.; Majithia, J. T. Class group of the ring of invariants of an exponential map on an affine normal domain. (English) Zbl 1439.13070 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 3, 11 p. (2020). MSC: 13N15 13C20 14R20 13A30 PDF BibTeX XML Cite \textit{S. M. Bhatwadekar} and \textit{J. T. Majithia}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 3, 11 p. (2020; Zbl 1439.13070) Full Text: DOI
Chitayat, Michael; Daigle, Daniel On the rigidity of certain Pham-Brieskorn rings. (English) Zbl 07167051 J. Algebra 550, 290-308 (2020). MSC: 13N15 14R20 14R05 PDF BibTeX XML Cite \textit{M. Chitayat} and \textit{D. Daigle}, J. Algebra 550, 290--308 (2020; Zbl 07167051) Full Text: DOI
Li, Yueyue; Tian, Yan; Du, Xiankun Triangularization of matrices and polynomial maps. (English) Zbl 1431.15008 Can. Math. Bull. 63, No. 1, 94-105 (2020). MSC: 15A21 14R15 47A66 PDF BibTeX XML Cite \textit{Y. Li} et al., Can. Math. Bull. 63, No. 1, 94--105 (2020; Zbl 1431.15008) Full Text: DOI
Liu, Dayan; Sun, Xiaosong The factorial conjecture and images of locally nilpotent derivations. (English) Zbl 1430.14113 Bull. Aust. Math. Soc. 101, No. 1, 71-79 (2020). Reviewer: Yan Dan (Changsha) MSC: 14R15 13N15 14R10 PDF BibTeX XML Cite \textit{D. Liu} and \textit{X. Sun}, Bull. Aust. Math. Soc. 101, No. 1, 71--79 (2020; Zbl 1430.14113) Full Text: DOI
Forstnerič, Franc; Wold, Erlend Fornæss Runge tubes in Stein manifolds with the density property. (English) Zbl 1436.32041 Proc. Am. Math. Soc. 148, No. 2, 569-575 (2020). MSC: 32E30 32H02 32E10 32M17 14R10 PDF BibTeX XML Cite \textit{F. Forstnerič} and \textit{E. F. Wold}, Proc. Am. Math. Soc. 148, No. 2, 569--575 (2020; Zbl 1436.32041) Full Text: DOI
Kojima, Hideo Some results on open algebraic surfaces of logarithmic Kodaira dimension zero. (English) Zbl 07152383 J. Algebra 547, 238-261 (2020). MSC: 14R25 14J26 PDF BibTeX XML Cite \textit{H. Kojima}, J. Algebra 547, 238--261 (2020; Zbl 07152383) Full Text: DOI
Banerjee, Oishee Cohomology of the space of polynomial maps on \(\mathbb{A}^1\) with prescribed ramification. (English) Zbl 1429.14007 Adv. Math. 359, Article ID 106881, 37 p. (2020). Reviewer: José Javier Etayo (Madrid) MSC: 14D20 14F20 14G17 14R10 19F27 14H30 PDF BibTeX XML Cite \textit{O. Banerjee}, Adv. Math. 359, Article ID 106881, 37 p. (2020; Zbl 1429.14007) Full Text: DOI arXiv
Wrobel, Milena Divisor class groups of rational trinomial varieties. (English) Zbl 1440.13054 J. Algebra 542, 43-64 (2020). Reviewer: Nelly Villamizar (Swansea) MSC: 13C20 14R20 13A05 PDF BibTeX XML Cite \textit{M. Wrobel}, J. Algebra 542, 43--64 (2020; Zbl 1440.13054) Full Text: DOI arXiv
Gupta, Neena; Sen, Sourav Locally nilpotent derivations of double Danielewski surfaces. (English) Zbl 07125509 J. Pure Appl. Algebra 224, No. 4, Article ID 106208, 6 p. (2020). MSC: 13N15 14R20 PDF BibTeX XML Cite \textit{N. Gupta} and \textit{S. Sen}, J. Pure Appl. Algebra 224, No. 4, Article ID 106208, 6 p. (2020; Zbl 07125509) Full Text: DOI
Daigle, Daniel Locally nilpotent derivations and the structure of rings. (English) Zbl 07125502 J. Pure Appl. Algebra 224, No. 4, Article ID 106201, 28 p. (2020). MSC: 13N15 14R10 14R20 14M20 14R05 PDF BibTeX XML Cite \textit{D. Daigle}, J. Pure Appl. Algebra 224, No. 4, Article ID 106201, 28 p. (2020; Zbl 07125502) Full Text: DOI arXiv
Cantat, Serge An interpolation lemma. (Un lemme d’interpolation.) (French) Zbl 07272376 Breuillard, Emmanuel (ed.), SMF 2018 : Congrès de la Société Mathématique de France. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-912-8/pbk). Séminaires et Congrès 33, 219-236 (2019). MSC: 11D 14R PDF BibTeX XML Cite \textit{S. Cantat}, Sémin. Congr. 33, 219--236 (2019; Zbl 07272376)
Ferrer Santos, Walter A short survey on observability. (English) Zbl 1436.14104 Rev. Colomb. Mat. 53, Suppl. 1, 143-183 (2019). MSC: 14R20 13A50 16D90 18E10 20G05 16-02 14-02 13-02 PDF BibTeX XML Cite \textit{W. Ferrer Santos}, Rev. Colomb. Mat. 53, 143--183 (2019; Zbl 1436.14104) Full Text: DOI
Boos, Magdalena; Irelli, Giovanni Cerulli; Esposito, Francesco Parabolic orbits of 2-nilpotent elements for classical groups. (English) Zbl 07214019 J. Lie Theory 29, No. 4, 969-996 (2019). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 14R20 16N40 17B45 16G20 16G70 PDF BibTeX XML Cite \textit{M. Boos} et al., J. Lie Theory 29, No. 4, 969--996 (2019; Zbl 07214019) Full Text: Link
Itikawa, Jackson; Llibre, Jaume New classes of polynomial maps satisfying the real Jacobian conjecture in \(\mathbb{R}^2\). (English) Zbl 1442.14190 An. Acad. Bras. Ciênc. 91, No. 2, Article ID e20170627, 6 p. (2019). MSC: 14R15 PDF BibTeX XML Cite \textit{J. Itikawa} and \textit{J. Llibre}, An. Acad. Bras. Ciênc. 91, No. 2, Article ID e20170627, 6 p. (2019; Zbl 1442.14190) Full Text: DOI
Belov-Kanel’, Alekseĭ Yakovlevich; Rowen, Louis Haile; Yu, Jie-Tai The Jacobian conjecture for the free associative algebra (of arbitrary characteristic). (English) Zbl 07201115 Chebyshevskiĭ Sb. 20, No. 3(71), 390-393 (2019). MSC: 17A 13F 14E 14R PDF BibTeX XML Cite \textit{A. Y. Belov-Kanel'} et al., Chebyshevskiĭ Sb. 20, No. 3(71), 390--393 (2019; Zbl 07201115) Full Text: DOI MNR
Moser-Jauslin, Lucy Infinite families of inequivalent real circle actions on affine four-space. (Sur des familles infinies d’actions non équivalentes du cercle réel sur l’espace affine de dimension 4.) (English) Zbl 1439.14178 Épijournal de Géom. Algébr., EPIGA 3, Article No. 1, 11 p. (2019). MSC: 14R20 14L30 PDF BibTeX XML Cite \textit{L. Moser-Jauslin}, Épijournal de Géom. Algébr., EPIGA 3, Article No. 1, 11 p. (2019; Zbl 1439.14178) Full Text: Link
Kaveh, Kiumars; Manon, Christopher Gröbner theory and tropical geometry on spherical varieties. (English) Zbl 07173600 Transform. Groups 24, No. 4, 1095-1145 (2019). MSC: 14T10 13P10 14M27 20G15 14C05 14R20 14L24 PDF BibTeX XML Cite \textit{K. Kaveh} and \textit{C. Manon}, Transform. Groups 24, No. 4, 1095--1145 (2019; Zbl 07173600) Full Text: DOI
Starkov, V. V. The Jacobian conjecture: structure of Keller mappings. (English) Zbl 1432.14042 Probl. Anal. Issues Anal. 8(26), No. 3, 152-165 (2019). Reviewer: Yan Dan (Changsha) MSC: 14R15 PDF BibTeX XML Cite \textit{V. V. Starkov}, Probl. Anal. Issues Anal. 8(26), No. 3, 152--165 (2019; Zbl 1432.14042) Full Text: DOI MNR
Matveev, D. A. Commuting homogeneous locally nilpotent derivations. (English. Russian original) Zbl 07154831 Sb. Math. 210, No. 11, 1609-1632 (2019); translation from Mat. Sb. 210, No. 11, 103-128 (2019). MSC: 14R20 PDF BibTeX XML Cite \textit{D. A. Matveev}, Sb. Math. 210, No. 11, 1609--1632 (2019; Zbl 07154831); translation from Mat. Sb. 210, No. 11, 103--128 (2019) Full Text: DOI
Dubouloz, Adrien; Pauli, Sabrina; Østvær, Paul Arne \(\mathbb{A}^1\)-contractibility of affine modifications. (English) Zbl 1436.14043 Int. J. Math. 30, No. 14, Article ID 1950069, 34 p. (2019). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 14L30 14R20 19E15 PDF BibTeX XML Cite \textit{A. Dubouloz} et al., Int. J. Math. 30, No. 14, Article ID 1950069, 34 p. (2019; Zbl 1436.14043) Full Text: DOI
Blanc, Jérémy; Furter, Jean-Philippe; Hemmig, Mattias Exceptional isomorphisms between complements of affine plane curves. (English) Zbl 1440.14060 Duke Math. J. 168, No. 12, 2235-2297 (2019). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E07 14J26 14R10 32M17 PDF BibTeX XML Cite \textit{J. Blanc} et al., Duke Math. J. 168, No. 12, 2235--2297 (2019; Zbl 1440.14060) Full Text: DOI
Feng, Zhenzhen; Sun, Xiaosong On the generalized vanishing conjecture. (English) Zbl 07144875 Czech. Math. J. 69, No. 4, 1061-1068 (2019). MSC: 14R15 13N15 PDF BibTeX XML Cite \textit{Z. Feng} and \textit{X. Sun}, Czech. Math. J. 69, No. 4, 1061--1068 (2019; Zbl 07144875) Full Text: DOI
El Kahoui, M’Hammed; Ouali, Mustapha Locally nilpotent derivations of factorial domains. (English) Zbl 07144160 J. Algebra Appl. 18, No. 12, Article ID 1950222, 18 p. (2019). MSC: 14R20 13N15 PDF BibTeX XML Cite \textit{M. El Kahoui} and \textit{M. Ouali}, J. Algebra Appl. 18, No. 12, Article ID 1950222, 18 p. (2019; Zbl 07144160) Full Text: DOI
Langlois, Kevin Horizontal \(\mathbb{G}_A\)-actions on affine \(\mathbb{T}\)-varieties of complexity one. (English) Zbl 1443.14063 Matematiche 74, No. 1, 75-94 (2019). Reviewer: Ronan Terpereau (Dijon) MSC: 14R20 14M25 13A35 PDF BibTeX XML Cite \textit{K. Langlois}, Matematiche 74, No. 1, 75--94 (2019; Zbl 1443.14063) Full Text: DOI
Alexeev, Valery; Liu, Wenfei Open surfaces of small volume. (English) Zbl 1427.14078 Algebr. Geom. 6, No. 3, 312-327 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 14J29 14J26 14R05 14C20 14A21 PDF BibTeX XML Cite \textit{V. Alexeev} and \textit{W. Liu}, Algebr. Geom. 6, No. 3, 312--327 (2019; Zbl 1427.14078) Full Text: DOI arXiv
Umirbaev, Ualbai Polarization algebras and their relations. (English) Zbl 1445.14084 J. Commut. Algebra 11, No. 3, 433-451 (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 14R15 17A40 17A50 14R10 17A36 PDF BibTeX XML Cite \textit{U. Umirbaev}, J. Commut. Algebra 11, No. 3, 433--451 (2019; Zbl 1445.14084) Full Text: DOI Euclid arXiv
Nakajima, Haruhisa Invariant principal fractional modules of affine integral schemes under algebraic group actions. (English) Zbl 1430.13009 JP J. Algebra Number Theory Appl. 41, No. 1, 85-94 (2019). Reviewer: Elitza Hristova (Sofia) MSC: 13A50 14R20 20G05 14L30 PDF BibTeX XML Cite \textit{H. Nakajima}, JP J. Algebra Number Theory Appl. 41, No. 1, 85--94 (2019; Zbl 1430.13009) Full Text: DOI
Nakajima, Haruhisa Liftings of pseudo-reflection groups of toric quotients of Krull schemes. (English) Zbl 1439.13021 JP J. Algebra Number Theory Appl. 41, No. 1, 59-83 (2019). Reviewer: Ivo M. Michailov (Shumen) MSC: 13A50 14R20 20G05 14L30 PDF BibTeX XML Cite \textit{H. Nakajima}, JP J. Algebra Number Theory Appl. 41, No. 1, 59--83 (2019; Zbl 1439.13021) Full Text: DOI arXiv
Poloni, Pierre-Marie Counterexamples to the complement problem. (English) Zbl 1441.14202 Comment. Math. Helv. 94, No. 3, 439-444 (2019). MSC: 14R10 14J26 32M17 PDF BibTeX XML Cite \textit{P.-M. Poloni}, Comment. Math. Helv. 94, No. 3, 439--444 (2019; Zbl 1441.14202) Full Text: DOI arXiv
Dubouloz, Adrien; Kishimoto, Takashi Cylinders in Mori fiber spaces: forms of the quintic del Pezzo threefold. (Cylindres dans les fibrations de Mori: formes du volume quintique de del Pezzo.) (English. French summary) Zbl 1445.14027 Ann. Inst. Fourier 69, No. 6, 2377-2393 (2019). Reviewer: Roberto Munoz (Madrid) MSC: 14E30 14J30 14J45 14R10 14R25 PDF BibTeX XML Cite \textit{A. Dubouloz} and \textit{T. Kishimoto}, Ann. Inst. Fourier 69, No. 6, 2377--2393 (2019; Zbl 1445.14027) Full Text: DOI
Zaitseva, Yuliya I. Homogeneous locally nilpotent derivations of nonfactorial trinomial algebras. (English. Russian original) Zbl 1444.13034 Math. Notes 105, No. 6, 818-830 (2019); translation from Mat. Zametki 105, No. 6, 824-838 (2019). MSC: 13N15 14R05 PDF BibTeX XML Cite \textit{Y. I. Zaitseva}, Math. Notes 105, No. 6, 818--830 (2019; Zbl 1444.13034); translation from Mat. Zametki 105, No. 6, 824--838 (2019) Full Text: DOI
Hakuta, Keisuke Generalization of a counterexample to Derksen’s theorem in characteristic two. (English) Zbl 1441.14201 Beitr. Algebra Geom. 60, No. 4, 679-682 (2019). MSC: 14R10 12E20 20B25 PDF BibTeX XML Cite \textit{K. Hakuta}, Beitr. Algebra Geom. 60, No. 4, 679--682 (2019; Zbl 1441.14201) Full Text: DOI
Chen, Qile; Zhu, Yi \(\mathbb{A}^1\)-curves on log smooth varieties. (English) Zbl 1430.14004 J. Reine Angew. Math. 756, 1-35 (2019). Reviewer: Quentin Gendron (Morelia) MSC: 14A21 14M22 14R10 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{Y. Zhu}, J. Reine Angew. Math. 756, 1--35 (2019; Zbl 1430.14004) Full Text: DOI arXiv
Kaliman, Shulim Surfaces with big automorphism groups. (English) Zbl 1423.14344 Kuchment, Peter (ed.) et al., Functional analysis and geometry. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 733, 185-196 (2019). MSC: 14R20 32M17 PDF BibTeX XML Cite \textit{S. Kaliman}, Contemp. Math. 733, 185--196 (2019; Zbl 1423.14344) Full Text: DOI
Hauser, Herwig About the cover: quaste. (English) Zbl 1423.14341 Bull. Am. Math. Soc., New Ser. 56, No. 4, 687-689 (2019). MSC: 14R10 14P05 14Q10 53A05 PDF BibTeX XML Cite \textit{H. Hauser}, Bull. Am. Math. Soc., New Ser. 56, No. 4, 687--689 (2019; Zbl 1423.14341) Full Text: DOI
Lê, Dũng Tráng; Nuño Ballesteros, Juan J. A remark on the topology of complex polynomial functions. (English) Zbl 1439.14179 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3977-3994 (2019). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14R25 32S20 32S30 PDF BibTeX XML Cite \textit{D. T. Lê} and \textit{J. J. Nuño Ballesteros}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3977--3994 (2019; Zbl 1439.14179) Full Text: DOI
Ivanova, Nataliya M.; Pallikaros, Christakis A. On degenerations of algebras over an arbitrary field. (English) Zbl 07121701 Adv. Group Theory Appl. 7, 39-83 (2019). MSC: 17A30 14D06 14R20 PDF BibTeX XML Cite \textit{N. M. Ivanova} and \textit{C. A. Pallikaros}, Adv. Group Theory Appl. 7, 39--83 (2019; Zbl 07121701) Full Text: DOI
Miranda-Neto, Cleto B. An ideal-theoretic approach to Keller maps. (English) Zbl 1423.14342 Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 1033-1044 (2019). Reviewer: Yan Dan (Changsha) MSC: 14R15 14R10 13F20 PDF BibTeX XML Cite \textit{C. B. Miranda-Neto}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 1033--1044 (2019; Zbl 1423.14342) Full Text: DOI
Dubouloz, Adrien Exotic \({\mathbb{G}}_a\)-quotients of \(\mathrm{SL}_2\times{\mathbb{A}}^1\). (English) Zbl 07116156 Eur. J. Math. 5, No. 3, 828-844 (2019). MSC: 14R05 14R20 14L30 PDF BibTeX XML Cite \textit{A. Dubouloz}, Eur. J. Math. 5, No. 3, 828--844 (2019; Zbl 07116156) Full Text: DOI
Alexeev, Valery; Liu, Wenfei Log surfaces of Picard rank one from four lines in the plane. (English) Zbl 1423.14233 Eur. J. Math. 5, No. 3, 622-639 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 14J29 14J26 14R05 PDF BibTeX XML Cite \textit{V. Alexeev} and \textit{W. Liu}, Eur. J. Math. 5, No. 3, 622--639 (2019; Zbl 1423.14233) Full Text: DOI arXiv
Gaifullin, Sergey; Zaitseva, Yulia On homogeneous locally nilpotent derivations of trinomial algebras. (English) Zbl 1433.13024 J. Algebra Appl. 18, No. 10, Article ID 1950196, 19 p. (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 13N15 14R20 13A50 14J50 PDF BibTeX XML Cite \textit{S. Gaifullin} and \textit{Y. Zaitseva}, J. Algebra Appl. 18, No. 10, Article ID 1950196, 19 p. (2019; Zbl 1433.13024) Full Text: DOI arXiv
Billig, Yuly; Futorny, Vyacheslav; Nilsson, Jonathan Representations of Lie algebras of vector fields on affine varieties. (English) Zbl 07114748 Isr. J. Math. 233, No. 1, 379-399 (2019). MSC: 17B66 14R10 17B10 PDF BibTeX XML Cite \textit{Y. Billig} et al., Isr. J. Math. 233, No. 1, 379--399 (2019; Zbl 07114748) Full Text: DOI arXiv
Alexeev, V. A.; Liu, Wenfei On accumulation points of volumes of log surfaces. (English. Russian original) Zbl 1423.14234 Izv. Math. 83, No. 4, 657-675 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 4, 5-25 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 14J29 14J26 14R05 PDF BibTeX XML Cite \textit{V. A. Alexeev} and \textit{W. Liu}, Izv. Math. 83, No. 4, 657--675 (2019; Zbl 1423.14234); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 4, 5--25 (2019) Full Text: DOI
Bao, Yu Yang; Daigle, Daniel Small embeddings of integral domains. (English) Zbl 1433.14054 Kyoto J. Math. 59, No. 3, 703-716 (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 14R10 13B25 13G05 PDF BibTeX XML Cite \textit{Y. Y. Bao} and \textit{D. Daigle}, Kyoto J. Math. 59, No. 3, 703--716 (2019; Zbl 1433.14054) Full Text: DOI Euclid
He, Yi-Bin; Wang, Li A geometric characterization of quantum gates. (English) Zbl 1433.81013 Int. J. Theor. Phys. 58, No. 7, 2218-2227 (2019). MSC: 81P16 14R10 81P68 PDF BibTeX XML Cite \textit{Y.-B. He} and \textit{L. Wang}, Int. J. Theor. Phys. 58, No. 7, 2218--2227 (2019; Zbl 1433.81013) Full Text: DOI
Adamus, Elżbieta; Bogdan, Paweł; Crespo, Teresa; Hajto, Zbigniew Pascal finite polynomial automorphisms. (English) Zbl 1433.14053 J. Algebra Appl. 18, No. 7, Article ID 1950124, 10 p. (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 14R10 14R15 13F20 14E07 PDF BibTeX XML Cite \textit{E. Adamus} et al., J. Algebra Appl. 18, No. 7, Article ID 1950124, 10 p. (2019; Zbl 1433.14053) Full Text: DOI
Lewis, Drew; Perry, Kaitlyn; Straub, Armin An algorithmic approach to the Polydegree Conjecture for plane polynomial automorphisms. (English) Zbl 1433.14055 J. Pure Appl. Algebra 223, No. 12, 5346-5359 (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 14R10 13F20 PDF BibTeX XML Cite \textit{D. Lewis} et al., J. Pure Appl. Algebra 223, No. 12, 5346--5359 (2019; Zbl 1433.14055) Full Text: DOI arXiv
Andrist, Rafael B. Integrable generators of Lie algebras of vector fields on \(\mathbb{C}^{n}\). (English) Zbl 1444.32021 Forum Math. 31, No. 4, 943-949 (2019). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 32M17 32M25 14R10 PDF BibTeX XML Cite \textit{R. B. Andrist}, Forum Math. 31, No. 4, 943--949 (2019; Zbl 1444.32021) Full Text: DOI arXiv
Krishna, Amalendu Murthy’s conjecture on 0-cycles. (English) Zbl 1439.14041 Invent. Math. 217, No. 2, 549-602 (2019). Reviewer: Rabeya Basu (Pune) MSC: 14C25 14C35 19E08 14R99 PDF BibTeX XML Cite \textit{A. Krishna}, Invent. Math. 217, No. 2, 549--602 (2019; Zbl 1439.14041) Full Text: DOI
Combe, N. C. On Coxeter algebraic varieties. The geometry of \(CB_{n}\) quartics. (English) Zbl 07085849 Math. Semesterber. 66, No. 1, 73-87 (2019). MSC: 14R20 14J10 14J70 14L24 15A03 15A18 PDF BibTeX XML Cite \textit{N. C. Combe}, Math. Semesterber. 66, No. 1, 73--87 (2019; Zbl 07085849) Full Text: DOI
Freudenburg, Gene Canonical factorization of the quotient morphism for an affine \(\mathbb{G}_{a}\)-variety. (English) Zbl 1422.14066 Transform. Groups 24, No. 2, 355-377 (2019). MSC: 14R20 PDF BibTeX XML Cite \textit{G. Freudenburg}, Transform. Groups 24, No. 2, 355--377 (2019; Zbl 1422.14066) Full Text: DOI arXiv
Nagamine, Takanori A note on retracts of polynomial rings in three variables. (English) Zbl 1423.13063 J. Algebra 534, 339-343 (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 13B25 14R10 13F20 PDF BibTeX XML Cite \textit{T. Nagamine}, J. Algebra 534, 339--343 (2019; Zbl 1423.13063) Full Text: DOI arXiv
Dubouloz, Adrien Affine surfaces with isomorphic \(\mathbb{A}^2\)-cylinders. (English) Zbl 1436.14100 Kyoto J. Math. 59, No. 1, 181-193 (2019). Reviewer: N. Mohan Kumar (St. Louis) MSC: 14R05 14R25 14E07 PDF BibTeX XML Cite \textit{A. Dubouloz}, Kyoto J. Math. 59, No. 1, 181--193 (2019; Zbl 1436.14100) Full Text: DOI Euclid
Gaifullin, Sergey; Shafarevich, Anton Flexibility of normal affine horospherical varieties. (English) Zbl 1420.14133 Proc. Am. Math. Soc. 147, No. 8, 3317-3330 (2019). MSC: 14R20 14M15 13A50 13N15 14J50 PDF BibTeX XML Cite \textit{S. Gaifullin} and \textit{A. Shafarevich}, Proc. Am. Math. Soc. 147, No. 8, 3317--3330 (2019; Zbl 1420.14133) Full Text: DOI arXiv
Lamy, Stéphane; Przytycki, Piotr Acylindrical hyperbolicity of the three-dimensional tame automorphism group. (English. French summary) Zbl 1442.14188 Ann. Sci. Éc. Norm. Supér. (4) 52, No. 2, 367-392 (2019). Reviewer: Vesselin Drensky (Sofia) MSC: 14R10 14E07 20E08 20F06 20F65 20F67 57M07 PDF BibTeX XML Cite \textit{S. Lamy} and \textit{P. Przytycki}, Ann. Sci. Éc. Norm. Supér. (4) 52, No. 2, 367--392 (2019; Zbl 1442.14188) Full Text: DOI
Arzhantsev, I.; Kuyumzhiyan, K.; Zaidenberg, M. Infinite transitivity, finite generation, and Demazure roots. (English) Zbl 1428.14092 Adv. Math. 351, 1-32 (2019). Reviewer: Adrien Dubouloz (Dijon) MSC: 14R20 32M17 PDF BibTeX XML Cite \textit{I. Arzhantsev} et al., Adv. Math. 351, 1--32 (2019; Zbl 1428.14092) Full Text: DOI
Adamus, Elżbieta; Crespo, Teresa; Hajto, Zbigniew Jacobian conjecture via differential Galois theory. (English) Zbl 1420.14132 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 034, 7 p. (2019). Reviewer: Yan Dan (Changsha) MSC: 14R10 14R15 13N15 12F10 PDF BibTeX XML Cite \textit{E. Adamus} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 034, 7 p. (2019; Zbl 1420.14132) Full Text: DOI arXiv