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
Bensebaa, Boualem; Movahhedi, Abbas; Salinier, Alain Wild ramification in trinomial extensions and Galois groups. (English) Zbl 07286316 Glasg. Math. J. 63, No. 1, 106-120 (2021). MSC: 11R32 12F10 11S15 12E10 PDF BibTeX XML Cite \textit{B. Bensebaa} et al., Glasg. Math. J. 63, No. 1, 106--120 (2021; Zbl 07286316) Full Text: DOI
Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra Primitive values of rational functions at primitive elements of a finite field. (English) Zbl 07276959 J. Number Theory 219, 237-246 (2021). MSC: 12E20 11T23 PDF BibTeX XML Cite \textit{S. D. Cohen} et al., J. Number Theory 219, 237--246 (2021; Zbl 07276959) Full Text: DOI
Behajaina, Angelot (Théorie inverse de Galois sur LES corps des fractions rationnelles tordus.) (French. English summary) Zbl 07264656 J. Pure Appl. Algebra 225, No. 4, Article ID 106549, 10 p. (2021). MSC: 12E15 12F12 PDF BibTeX XML Cite \textit{A. Behajaina}, J. Pure Appl. Algebra 225, No. 4, Article ID 106549, 10 p. (2021; Zbl 07264656) Full Text: DOI
Brown, Ron; Merzel, Jonathan L. The space of \(\mathbb{R}\)-places on a rational function field. (English) Zbl 07262041 J. Algebra 565, 489-512 (2021). MSC: 12J20 12D15 12E30 14P99 PDF BibTeX XML Cite \textit{R. Brown} and \textit{J. L. Merzel}, J. Algebra 565, 489--512 (2021; Zbl 07262041) Full Text: DOI
Bevelacqua, Anthony J. Artin-Schreier binomials. (English) Zbl 07291061 Commun. Algebra 49, No. 1, 263-277 (2020). MSC: 12E05 12F05 12F10 PDF BibTeX XML Cite \textit{A. J. Bevelacqua}, Commun. Algebra 49, No. 1, 263--277 (2020; Zbl 07291061) Full Text: DOI
Henneke, Fabian; Kielak, Dawid The agrarian polytope of two-generator one-relator groups. (English) Zbl 07288974 J. Lond. Math. Soc., II. Ser. 102, No. 2, 722-748 (2020). MSC: 20J05 12E15 16S35 20E06 57Q10 PDF BibTeX XML Cite \textit{F. Henneke} and \textit{D. Kielak}, J. Lond. Math. Soc., II. Ser. 102, No. 2, 722--748 (2020; Zbl 07288974) Full Text: DOI
Petechuk, V. M.; Petechuk, Yu. V. Properties of the commutators of some elements of linear groups over divisions rings. (English) Zbl 07286274 Mat. Stud. 54, No. 1, 15-22 (2020). MSC: 12E15 15B33 PDF BibTeX XML Cite \textit{V. M. Petechuk} and \textit{Yu. V. Petechuk}, Mat. Stud. 54, No. 1, 15--22 (2020; Zbl 07286274) Full Text: DOI
Kim, Ryul; Son, Hyang-Sim Recursive constructions of \(k\)-normal polynomials using some rational transformations over finite fields. (English) Zbl 07272755 J. Algebra Appl. 19, No. 11, Article ID 2050210, 16 p. (2020). MSC: 11T06 12E10 12E20 PDF BibTeX XML Cite \textit{R. Kim} and \textit{H.-S. Son}, J. Algebra Appl. 19, No. 11, Article ID 2050210, 16 p. (2020; Zbl 07272755) Full Text: DOI
Qin, Xiaoer; Yan, Li Further results on permutation polynomials via linear translators. (English) Zbl 07272261 J. Algebra Appl. 19, No. 9, Article ID 2050166, 18 p. (2020). MSC: 11T06 12E20 PDF BibTeX XML Cite \textit{X. Qin} and \textit{L. Yan}, J. Algebra Appl. 19, No. 9, Article ID 2050166, 18 p. (2020; Zbl 07272261) Full Text: DOI
Behajaina, Angelot Explicit Galois realizations of certain families of \(2\)-groups. (Réalisations galoisiennes explicites de certaines familles de \(2\)-groupes.) (French. English summary) Zbl 07272154 J. Théor. Nombres Bordx. 32, No. 2, 605-630 (2020). MSC: 12E30 12F12 PDF BibTeX XML Cite \textit{A. Behajaina}, J. Théor. Nombres Bordx. 32, No. 2, 605--630 (2020; Zbl 07272154) Full Text: DOI
Bolotnikov, Vladimir Lagrange interpolation over division rings. (English) Zbl 07271681 Commun. Algebra 48, No. 9, 4065-4084 (2020). MSC: 12E15 30C10 41A05 PDF BibTeX XML Cite \textit{V. Bolotnikov}, Commun. Algebra 48, No. 9, 4065--4084 (2020; Zbl 07271681) Full Text: DOI
Adrianov, Nikolai M.; Pakovich, Fedor; Zvonkin, Alexander K. Davenport-Zannier polynomials and dessins d’enfants. (English) Zbl 07269809 Mathematical Surveys and Monographs 249. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5634-4/pbk; 978-1-4704-6029-7/ebook). xi, 187 p. (2020). MSC: 11G32 05C05 05C10 05C22 05E18 11R32 12E10 12E10 20B15 PDF BibTeX XML Cite \textit{N. M. Adrianov} et al., Davenport-Zannier polynomials and dessins d'enfants. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07269809)
Kazaryan, G. G.; Margaryan, V. N. On the infinite increase of a class of polynomials. (English. Russian original) Zbl 07269739 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 248-258 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 47-64 (2020). MSC: 12E10 26C05 PDF BibTeX XML Cite \textit{G. G. Kazaryan} and \textit{V. N. Margaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 248--258 (2020; Zbl 07269739); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 47--64 (2020) Full Text: DOI
Ştefănescu, D. Computational aspects of irreducible polynomials. (English) Zbl 07264247 Comput. Math. Math. Phys. 60, No. 1, 128-133 (2020). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12E05 12-08 PDF BibTeX XML Cite \textit{D. Ştefănescu}, Comput. Math. Math. Phys. 60, No. 1, 128--133 (2020; Zbl 07264247) Full Text: DOI
Chin, Angelina Y. M. Counting pairs to find a finite field. (English) Zbl 07264142 Am. Math. Mon. 127, No. 9, 806 (2020). MSC: 12E20 11T99 PDF BibTeX XML Cite \textit{A. Y. M. Chin}, Am. Math. Mon. 127, No. 9, 806 (2020; Zbl 07264142) Full Text: DOI
Banerjee, Pradipto; Bera, Ranjan On the nearest irreducible lacunary neighbour to an integer polynomial. (English) Zbl 07262544 Colloq. Math. 162, No. 1, 121-134 (2020). MSC: 11C08 11R09 12E05 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, Colloq. Math. 162, No. 1, 121--134 (2020; Zbl 07262544) Full Text: DOI
Klep, Igor; Vinnikov, Victor; Volčič, Jurij Multipartite rational functions. (English) Zbl 07261431 Doc. Math. 25, 1285-1313 (2020). MSC: 16K40 12E15 47A56 16R50 PDF BibTeX XML Cite \textit{I. Klep} et al., Doc. Math. 25, 1285--1313 (2020; Zbl 07261431) Full Text: DOI
Wendler, Wolf-Michael Theory of finite fields – and a comparison with characteristic 0. Translated from the German. (English) Zbl 07260057 Berichte aus der Mathematik. Aachen: Shaker Verlag (ISBN 978-3-8440-7614-1/hbk). xxi, 627 p. (2020). MSC: 12-01 12E20 11T99 93B25 00A69 00A79 PDF BibTeX XML Cite \textit{W.-M. Wendler}, Theory of finite fields -- and a comparison with characteristic 0. Translated from the German. Aachen: Shaker Verlag (2020; Zbl 07260057)
Mesnager, Sihem; Kim, Kwang Ho; Choe, Jong Hyok; Lee, Dok Nam; Go, Dae Song Solving \(x+x^{2^l}+\ldots +x^{2^{ml}}=a\) over \(\mathbb{F}_{2^n} \). (English) Zbl 1446.11207 Cryptogr. Commun. 12, No. 4, 809-817 (2020). MSC: 11T06 12E05 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Cryptogr. Commun. 12, No. 4, 809--817 (2020; Zbl 1446.11207) Full Text: DOI
Cao, Xiwang; Luo, Gaojun; Xu, Guangkui Three deterministic constructions of compressed sensing matrices with low coherence. (English) Zbl 07254100 Cryptogr. Commun. 12, No. 3, 547-558 (2020). MSC: 94A12 11L40 12E20 PDF BibTeX XML Cite \textit{X. Cao} et al., Cryptogr. Commun. 12, No. 3, 547--558 (2020; Zbl 07254100) Full Text: DOI
Antonov, Stepan Yur’evich; Antonova, Alina Vladimirovna Quasi-polynomials of Capelli. II. (Russian. English summary) Zbl 07251224 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 1, 4-16 (2020). MSC: 12E10 PDF BibTeX XML Cite \textit{S. Y. Antonov} and \textit{A. V. Antonova}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 1, 4--16 (2020; Zbl 07251224) Full Text: DOI MNR
Joseph, Michael; Roby, Tom Birational and noncommutative lifts of antichain toggling and rowmotion. (English) Zbl 1448.05226 Algebr. Comb. 3, No. 4, 955-984 (2020). MSC: 05E18 06A07 12E15 PDF BibTeX XML Cite \textit{M. Joseph} and \textit{T. Roby}, Algebr. Comb. 3, No. 4, 955--984 (2020; Zbl 1448.05226) Full Text: DOI
Farashahi, Arash Ghaani Generalized wavelet transforms over finite fields. (English) Zbl 1447.42034 Linear Multilinear Algebra 68, No. 8, 1585-1604 (2020). MSC: 42C40 12E20 13B05 12F10 81R05 20G40 PDF BibTeX XML Cite \textit{A. G. Farashahi}, Linear Multilinear Algebra 68, No. 8, 1585--1604 (2020; Zbl 1447.42034) Full Text: DOI
Petechuk, V. M.; Petechuk, Yu. V. Residual and fixed modules. (English) Zbl 07247899 Mat. Stud. 53, No. 2, 119-124 (2020). MSC: 12E15 16D40 15B33 16W20 PDF BibTeX XML Cite \textit{V. M. Petechuk} and \textit{Yu. V. Petechuk}, Mat. Stud. 53, No. 2, 119--124 (2020; Zbl 07247899) Full Text: DOI
Singh, Manjit Linear recurring sequences and explicit factors of \(x^{2^nd}-1\) in \(\mathbb{F}_q[x]\). (English) Zbl 07245624 Algebra Colloq. 27, No. 3, 563-574 (2020). MSC: 12E20 11T30 11B83 PDF BibTeX XML Cite \textit{M. Singh}, Algebra Colloq. 27, No. 3, 563--574 (2020; Zbl 07245624) Full Text: DOI
Najib, Salah The spectrum of a rational function. (English) Zbl 07245617 Algebra Colloq. 27, No. 3, 477-482 (2020). MSC: 12E05 11C08 12F05 12Y05 PDF BibTeX XML Cite \textit{S. Najib}, Algebra Colloq. 27, No. 3, 477--482 (2020; Zbl 07245617) Full Text: DOI
Harutyunyan, Davit A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry. (English) Zbl 1440.74104 J. Elasticity 140, No. 1, 79-93 (2020). MSC: 74E30 15A69 49J45 15A63 12D15 12E10 74B05 74B20 PDF BibTeX XML Cite \textit{D. Harutyunyan}, J. Elasticity 140, No. 1, 79--93 (2020; Zbl 1440.74104) Full Text: DOI
Brochero Martínez, F. E.; Silva-Jesus, Lays The estimated number of irreducible binomials. (English) Zbl 07242798 Finite Fields Appl. 66, Article ID 101702, 12 p. (2020). MSC: 12E20 11T30 PDF BibTeX XML Cite \textit{F. E. Brochero Martínez} and \textit{L. Silva-Jesus}, Finite Fields Appl. 66, Article ID 101702, 12 p. (2020; Zbl 07242798) Full Text: DOI
Ghazaryan, Haik G.; Margaryan, Vachagan N. Hyperbolicity with weight of polynomials in terms of comparing their power. (English) Zbl 07241011 Eurasian Math. J. 11, No. 2, 40-51 (2020). MSC: 12E10 35L25 35B51 35E20 PDF BibTeX XML Cite \textit{H. G. Ghazaryan} and \textit{V. N. Margaryan}, Eurasian Math. J. 11, No. 2, 40--51 (2020; Zbl 07241011) Full Text: DOI MNR
Bosch, Siegfried Algebra. 9th revised edition. (Algebra.) (German) Zbl 1440.12001 Berlin: Springer Spektrum (ISBN 978-3-662-61648-2/pbk; 978-3-662-61649-9/ebook). x, 491 p. (2020). MSC: 12-01 12Exx 12Fxx 20-01 PDF BibTeX XML Cite \textit{S. Bosch}, Algebra. 9th revised edition. Berlin: Springer Spektrum (2020; Zbl 1440.12001) Full Text: DOI
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni Closed formulas and identities on the Bell polynomials and falling factorials. (English) Zbl 07232880 Contrib. Discrete Math. 15, No. 1, 163-174 (2020). MSC: 11B83 05A10 11B65 12E10 26C05 33C10 43A90 PDF BibTeX XML Cite \textit{F. Qi} et al., Contrib. Discrete Math. 15, No. 1, 163--174 (2020; Zbl 07232880) Full Text: DOI
Penttila, Tim; Siciliano, Alessandro Variations on a theme of Glauberman. (English) Zbl 07220545 Result. Math. 75, No. 3, Paper No. 123, 13 p. (2020). MSC: 12E15 16K20 16P10 51A30 PDF BibTeX XML Cite \textit{T. Penttila} and \textit{A. Siciliano}, Result. Math. 75, No. 3, Paper No. 123, 13 p. (2020; Zbl 07220545) Full Text: DOI
Baxa, C. Book review of: J.-P. Tignol, Galois’ theory of algebraic equations. 2nd ed. (English) Zbl 1439.00012 Monatsh. Math. 192, No. 4, 979 (2020). MSC: 00A17 12-01 12-03 00A05 12E12 01A55 01A60 PDF BibTeX XML Cite \textit{C. Baxa}, Monatsh. Math. 192, No. 4, 979 (2020; Zbl 1439.00012) Full Text: DOI
Mihoubi, Miloud; Sahari, Madjid On some polynomials applied to the theory of hyperbolic differential equations. (English) Zbl 07215296 Online J. Anal. Comb. 15, Article 2, 18 p. (2020). MSC: 12E10 11B73 11B83 PDF BibTeX XML Cite \textit{M. Mihoubi} and \textit{M. Sahari}, Online J. Anal. Comb. 15, Article 2, 18 p. (2020; Zbl 07215296) Full Text: Link
Martínez-Peñas, Umberto Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables. (English) Zbl 07215213 Finite Fields Appl. 65, Article ID 101687, 28 p. (2020). MSC: 11T06 11T30 12E10 12E20 PDF BibTeX XML Cite \textit{U. Martínez-Peñas}, Finite Fields Appl. 65, Article ID 101687, 28 p. (2020; Zbl 07215213) Full Text: DOI
Bonneux, Niels; Dunning, Clare; Stevens, Marco Coefficients of Wronskian Hermite polynomials. (English) Zbl 1442.05016 Stud. Appl. Math. 144, No. 3, 245-288 (2020). MSC: 05A17 33C45 12E10 PDF BibTeX XML Cite \textit{N. Bonneux} et al., Stud. Appl. Math. 144, No. 3, 245--288 (2020; Zbl 1442.05016) Full Text: DOI
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael Eventually stable quadratic polynomials over \(\mathbb{Q}\). (English) Zbl 1446.37100 New York J. Math. 26, 526-561 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 37P15 11R09 37P05 12E05 11R32 11R45 PDF BibTeX XML Cite \textit{D. Demark} et al., New York J. Math. 26, 526--561 (2020; Zbl 1446.37100) Full Text: Link
Mishchenko, A. S. Correlation between the Hochschild cohomology and the Eilenberg-Mac Lane cohomology of group algebras from a geometric point of view. (English) Zbl 07207236 Russ. J. Math. Phys. 27, No. 2, 236-250 (2020). MSC: 20G 12E 30C 16K PDF BibTeX XML Cite \textit{A. S. Mishchenko}, Russ. J. Math. Phys. 27, No. 2, 236--250 (2020; Zbl 07207236) Full Text: DOI
Banerjee, Pradipto; Bera, Ranjan An irreducibility question concerning modifications of Laguerre polynomials. (English) Zbl 07205415 Int. J. Number Theory 16, No. 5, 1031-1051 (2020). MSC: 11C08 12E05 33C45 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, Int. J. Number Theory 16, No. 5, 1031--1051 (2020; Zbl 07205415) Full Text: DOI
Dube, Themba; Ghirati, Mojtaba; Nazari, Sajad; Taherifar, Ali Rings in which idempotents generate maximal or minimal ideals. (English) Zbl 07203508 Algebra Univers. 81, No. 3, Paper No. 30, 19 p. (2020). MSC: 03G05 12E15 13A15 16B99 54C40 PDF BibTeX XML Cite \textit{T. Dube} et al., Algebra Univers. 81, No. 3, Paper No. 30, 19 p. (2020; Zbl 07203508) Full Text: DOI
Jakhar, Anuj On the factors of a polynomial. (English) Zbl 07202671 Bull. Lond. Math. Soc. 52, No. 1, 158-160 (2020). Reviewer: Mihai Cipu (Bucureşti) MSC: 11R09 12E05 12J10 PDF BibTeX XML Cite \textit{A. Jakhar}, Bull. Lond. Math. Soc. 52, No. 1, 158--160 (2020; Zbl 07202671) Full Text: DOI
Singh, Jitender; Kumar, Sanjeev A generalization of Bevelacqua’s irreducibility criterion. (English) Zbl 07198870 Am. Math. Mon. 127, No. 5, 456-459 (2020). MSC: 12E05 11C08 PDF BibTeX XML Cite \textit{J. Singh} and \textit{S. Kumar}, Am. Math. Mon. 127, No. 5, 456--459 (2020; Zbl 07198870) Full Text: DOI
Gräter, Joachim Free division rings of fractions of crossed products of groups with Conradian left-orders. (English) Zbl 07198825 Forum Math. 32, No. 3, 739-772 (2020). MSC: 16S35 16S34 20F60 16S85 16W60 12E15 PDF BibTeX XML Cite \textit{J. Gräter}, Forum Math. 32, No. 3, 739--772 (2020; Zbl 07198825) Full Text: DOI
Jakhar, Anuj; Srinivas, Kotyada On the irreducible factors of a polynomial. II. (English) Zbl 1443.12002 J. Algebra 556, 649-655 (2020). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12E05 11R09 12J10 PDF BibTeX XML Cite \textit{A. Jakhar} and \textit{K. Srinivas}, J. Algebra 556, 649--655 (2020; Zbl 1443.12002) Full Text: DOI
Bary-Soroker, Lior; Kozma, Gady Irreducible polynomials of bounded height. (English) Zbl 1447.11112 Duke Math. J. 169, No. 4, 579-598 (2020). Reviewer: Paulius Drungilas (Vilnius) MSC: 11R09 12E05 26C05 PDF BibTeX XML Cite \textit{L. Bary-Soroker} and \textit{G. Kozma}, Duke Math. J. 169, No. 4, 579--598 (2020; Zbl 1447.11112) Full Text: DOI Euclid
Kostov, Vladimir Petrov On higher-order discriminants. (English) Zbl 1436.12001 Bull. Sci. Math. 160, Article ID 102842, 27 p. (2020). MSC: 12E05 12D05 PDF BibTeX XML Cite \textit{V. P. Kostov}, Bull. Sci. Math. 160, Article ID 102842, 27 p. (2020; Zbl 1436.12001) Full Text: DOI
Kȩpczyk, Marek; Mazurek, Ryszard On the representation of fields as finite sums of proper subfields. (English) Zbl 07194193 Result. Math. 75, No. 2, Paper No. 65, 18 p. (2020). MSC: 12E20 12F05 12F20 PDF BibTeX XML Cite \textit{M. Kȩpczyk} and \textit{R. Mazurek}, Result. Math. 75, No. 2, Paper No. 65, 18 p. (2020; Zbl 07194193) Full Text: DOI
Tarizadeh, Abolfazl A fresh look into monoid rings and formal power series rings. (English) Zbl 1440.13093 J. Algebra Appl. 19, No. 1, Article ID 2050003, 13 p. (2020). Reviewer: Ali Benhissi (Monastir) MSC: 13F20 13M10 12E05 13F25 13J05 30C10 37F10 37P05 PDF BibTeX XML Cite \textit{A. Tarizadeh}, J. Algebra Appl. 19, No. 1, Article ID 2050003, 13 p. (2020; Zbl 1440.13093) Full Text: DOI
Fried, S.; Haran, D. \( \Theta \)-Hilbertianity. (English) Zbl 07191126 J. Algebra 555, 36-51 (2020). MSC: 12E25 12F12 20E18 PDF BibTeX XML Cite \textit{S. Fried} and \textit{D. Haran}, J. Algebra 555, 36--51 (2020; Zbl 07191126) Full Text: DOI
Dodig, Marija; Stošić, Marko Combinatorics of polynomial chains. (English) Zbl 1437.05021 Linear Algebra Appl. 589, 130-157 (2020). MSC: 05A20 15A83 12E05 PDF BibTeX XML Cite \textit{M. Dodig} and \textit{M. Stošić}, Linear Algebra Appl. 589, 130--157 (2020; Zbl 1437.05021) Full Text: DOI
Reis, Lucas; Wang, Qiang The dynamics of permutations on irreducible polynomials. (English) Zbl 07189011 Finite Fields Appl. 64, Article ID 101664, 28 p. (2020). MSC: 11T06 12E20 37P05 11T55 PDF BibTeX XML Cite \textit{L. Reis} and \textit{Q. Wang}, Finite Fields Appl. 64, Article ID 101664, 28 p. (2020; Zbl 07189011) Full Text: DOI
Aravire, Roberto; Jacob, Bill; O’Ryan, Manuel Cohomological kernels of non-normal extensions in characteristic two and indecomposable division algebras of index eight. (English) Zbl 07182953 Commun. Algebra 48, No. 4, 1399-1422 (2020). MSC: 12E15 12F05 12F15 PDF BibTeX XML Cite \textit{R. Aravire} et al., Commun. Algebra 48, No. 4, 1399--1422 (2020; Zbl 07182953) Full Text: DOI
Bell, Jason P.; Gonçalves, Jairo On free subgroups in division rings. (English) Zbl 07182133 Proc. Am. Math. Soc. 148, No. 5, 1953-1962 (2020). MSC: 12E15 16K40 20E05 PDF BibTeX XML Cite \textit{J. P. Bell} and \textit{J. Gonçalves}, Proc. Am. Math. Soc. 148, No. 5, 1953--1962 (2020; Zbl 07182133) Full Text: DOI
Kielak, Dawid Residually finite rationally solvable groups and virtual fibring. (English) Zbl 07179135 J. Am. Math. Soc. 33, No. 2, 451-486 (2020). MSC: 20F65 57M10 20E26 12E15 16S35 20J05 PDF BibTeX XML Cite \textit{D. Kielak}, J. Am. Math. Soc. 33, No. 2, 451--486 (2020; Zbl 07179135) Full Text: DOI
Schwarzweller, Christoph Field extensions and Kronecker’s construction. (English) Zbl 1433.68584 Formaliz. Math. 27, No. 3, 229-235 (2020). MSC: 68V20 12E05 12F05 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 3, 229--235 (2020; Zbl 1433.68584) Full Text: DOI
Schwarzweller, Christoph On the intersection of fields \(F\) with \(F[X]\). (English) Zbl 1433.68583 Formaliz. Math. 27, No. 3, 223-228 (2020). MSC: 68V20 12E05 12F05 PDF BibTeX XML Cite \textit{C. Schwarzweller}, Formaliz. Math. 27, No. 3, 223--228 (2020; Zbl 1433.68583) Full Text: DOI
Taiwo, T. J. Potential function of the Wilson-Racah quantum system. Appendix: The Wilson and Racah orthogonal polynomials. (English) Zbl 1431.81017 J. Math. Phys. 61, No. 1, 012102, 8 p. (2020). MSC: 81P05 12E10 33D45 PDF BibTeX XML Cite \textit{T. J. Taiwo}, J. Math. Phys. 61, No. 1, 012102, 8 p. (2020; Zbl 1431.81017) Full Text: DOI
Bober, J. W.; Fretwell, D.; Martin, G.; Wooley, T. D. Smooth values of polynomials. (English) Zbl 07177251 J. Aust. Math. Soc. 108, No. 2, 245-261 (2020). MSC: 11N32 11N25 12E05 PDF BibTeX XML Cite \textit{J. W. Bober} et al., J. Aust. Math. Soc. 108, No. 2, 245--261 (2020; Zbl 07177251) Full Text: DOI
Alon, Noga; Balla, Igor; Gishboliner, Lior; Mond, Adva; Mousset, Frank The minrank of random graphs over arbitrary fields. (English) Zbl 1434.05128 Isr. J. Math. 235, No. 1, 63-77 (2020). MSC: 05C80 05C50 05A16 60C05 12E05 PDF BibTeX XML Cite \textit{N. Alon} et al., Isr. J. Math. 235, No. 1, 63--77 (2020; Zbl 1434.05128) Full Text: DOI
Mináč, Ján; Rogelstad, Michael; Nguyễn Duy Tân Relations in the maximal pro-\(p\) quotients of absolute Galois groups. (English) Zbl 07176207 Trans. Am. Math. Soc. 373, No. 4, 2499-2524 (2020). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12F10 12E30 20E18 55S30 PDF BibTeX XML Cite \textit{J. Mináč} et al., Trans. Am. Math. Soc. 373, No. 4, 2499--2524 (2020; Zbl 07176207) Full Text: DOI
Jakhar, Anuj On the irreducible factors of a polynomial. (English) Zbl 1446.12004 Proc. Am. Math. Soc. 148, No. 4, 1429-1437 (2020). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12E05 11R09 12J10 PDF BibTeX XML Cite \textit{A. Jakhar}, Proc. Am. Math. Soc. 148, No. 4, 1429--1437 (2020; Zbl 1446.12004) Full Text: DOI
Dubickas, A. A Lower bound for the maximum of a polynomial in the unit disc. (English) Zbl 07175018 Anal. Math. 46, No. 1, 67-76 (2020). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12E05 12D99 PDF BibTeX XML Cite \textit{A. Dubickas}, Anal. Math. 46, No. 1, 67--76 (2020; Zbl 07175018) Full Text: DOI
Bartoli, Daniele; Timpanella, Marco A family of planar binomials in characteristic 2. (English) Zbl 07174378 Finite Fields Appl. 63, Article ID 101651, 12 p. (2020). MSC: 11T06 12E10 11G20 PDF BibTeX XML Cite \textit{D. Bartoli} and \textit{M. Timpanella}, Finite Fields Appl. 63, Article ID 101651, 12 p. (2020; Zbl 07174378) Full Text: DOI
Ahmadi, Omran; Monsef-Shokri, Khosro A note on the stability of trinomials over finite fields. (English) Zbl 07174376 Finite Fields Appl. 63, Article ID 101649, 13 p. (2020). MSC: 11T06 12E20 PDF BibTeX XML Cite \textit{O. Ahmadi} and \textit{K. Monsef-Shokri}, Finite Fields Appl. 63, Article ID 101649, 13 p. (2020; Zbl 07174376) Full Text: DOI
Kalaycı, Tekgül; Stichtenoth, Henning; Topuzoğlu, Alev Irreducible factors of a class of permutation polynomials. (English) Zbl 07174374 Finite Fields Appl. 63, Article ID 101647, 12 p. (2020). MSC: 11T06 11T55 12E20 PDF BibTeX XML Cite \textit{T. Kalaycı} et al., Finite Fields Appl. 63, Article ID 101647, 12 p. (2020; Zbl 07174374) Full Text: DOI
Kim, Kwang Ho; Mesnager, Sihem Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\). (English) Zbl 07174363 Finite Fields Appl. 63, Article ID 101630, 15 p. (2020). MSC: 11T06 12E10 PDF BibTeX XML Cite \textit{K. H. Kim} and \textit{S. Mesnager}, Finite Fields Appl. 63, Article ID 101630, 15 p. (2020; Zbl 07174363) Full Text: DOI
Mukhopadhyay, Madhurima; Sarkar, Palash Faster initial splitting for small characteristic composite extension degree fields. (English) Zbl 07174361 Finite Fields Appl. 62, Article ID 101629, 16 p. (2020). MSC: 94A60 12E20 11N35 11Y99 PDF BibTeX XML Cite \textit{M. Mukhopadhyay} and \textit{P. Sarkar}, Finite Fields Appl. 62, Article ID 101629, 16 p. (2020; Zbl 07174361) Full Text: DOI
Xiang, Can; Ling, Xin; Wang, Qi Combinatorial \(t\)-designs from quadratic functions. (English) Zbl 1434.05025 Des. Codes Cryptography 88, No. 3, 553-565 (2020). MSC: 05B05 12E10 PDF BibTeX XML Cite \textit{C. Xiang} et al., Des. Codes Cryptography 88, No. 3, 553--565 (2020; Zbl 1434.05025) Full Text: DOI
Sivatski, A. S. On polynomial values of anisotropic quadratic forms. (English) Zbl 1448.11075 J. Pure Appl. Algebra 224, No. 6, Article ID 106261, 10 p. (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E04 12E10 PDF BibTeX XML Cite \textit{A. S. Sivatski}, J. Pure Appl. Algebra 224, No. 6, Article ID 106261, 10 p. (2020; Zbl 1448.11075) Full Text: DOI
Efrat, Ido The lower \(p\)-central series of a free profinite group and the shuffle algebra. (English) Zbl 07173738 J. Pure Appl. Algebra 224, No. 6, Article ID 106260, 13 p. (2020). MSC: 20J06 12E30 12F10 12G05 20E18 68R15 PDF BibTeX XML Cite \textit{I. Efrat}, J. Pure Appl. Algebra 224, No. 6, Article ID 106260, 13 p. (2020; Zbl 07173738) Full Text: DOI
Panario, Daniel; Reis, Lucas; Wang, Qiang Construction of irreducible polynomials through rational transformations. (English) Zbl 1432.11176 J. Pure Appl. Algebra 224, No. 5, Article ID 106241, 17 p. (2020). MSC: 11T06 12E05 PDF BibTeX XML Cite \textit{D. Panario} et al., J. Pure Appl. Algebra 224, No. 5, Article ID 106241, 17 p. (2020; Zbl 1432.11176) Full Text: DOI
Deschamps, Bruno; Legrand, François Inverse Galois problem over the skew field of rational fractions with central indeterminate. (Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale.) (French. English summary) Zbl 07173665 J. Pure Appl. Algebra 224, No. 5, Article ID 106240, 13 p. (2020). MSC: 12F12 12E15 PDF BibTeX XML Cite \textit{B. Deschamps} and \textit{F. Legrand}, J. Pure Appl. Algebra 224, No. 5, Article ID 106240, 13 p. (2020; Zbl 07173665) Full Text: DOI
Scharler, Daniel F.; Siegele, Johannes; Schröcker, Hans-Peter Quadratic split quaternion polynomials: factorization and geometry. (English) Zbl 1448.12001 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 11, 23 p. (2020). MSC: 12E15 16S36 51N20 PDF BibTeX XML Cite \textit{D. F. Scharler} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 11, 23 p. (2020; Zbl 1448.12001) Full Text: DOI
Becher, Karim Johannes Biquaternion division algebras over rational function fields. (English) Zbl 07173197 J. Pure Appl. Algebra 224, No. 7, Article ID 106282, 7 p. (2020). Reviewer: Kevin Hutchinson (Dublin) MSC: 12E30 12G05 19D45 PDF BibTeX XML Cite \textit{K. J. Becher}, J. Pure Appl. Algebra 224, No. 7, Article ID 106282, 7 p. (2020; Zbl 07173197) Full Text: DOI
Boumahdi, Rachid; Kihel, Omar; Larone, Jesse; Yadjel, Makhlouf A new proof of the Carlitz-Lutz theorem. (English) Zbl 07160891 Bull. Aust. Math. Soc. 101, No. 1, 56-60 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 11T06 12E20 PDF BibTeX XML Cite \textit{R. Boumahdi} et al., Bull. Aust. Math. Soc. 101, No. 1, 56--60 (2020; Zbl 07160891) Full Text: DOI
Reis, Lucas On the existence and number of invariant polynomials. (English) Zbl 1428.12002 Finite Fields Appl. 61, Article ID 101605, 13 p. (2020). MSC: 12E10 12E20 11T06 20B25 15B33 PDF BibTeX XML Cite \textit{L. Reis}, Finite Fields Appl. 61, Article ID 101605, 13 p. (2020; Zbl 1428.12002) Full Text: DOI
Srivastava, H. M.; Riyasat, Mumtaz; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays\(^\star \). (English) Zbl 1433.11026 Appl. Math. Comput. 369, Article ID 124683, 22 p. (2020). MSC: 11B83 12E10 11C20 33C47 33C45 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Appl. Math. Comput. 369, Article ID 124683, 22 p. (2020; Zbl 1433.11026) Full Text: DOI
O’Dorney, Evan Visibly irreducible polynomials over finite fields. (English) Zbl 07149864 Am. Math. Mon. 127, No. 2, 112-124 (2020). MSC: 11T06 12E20 20G40 PDF BibTeX XML Cite \textit{E. O'Dorney}, Am. Math. Mon. 127, No. 2, 112--124 (2020; Zbl 07149864) Full Text: DOI
Sawin, Will; Shusterman, Mark; Stoll, Michael Irreducibility of polynomials with a large gap. (English) Zbl 1442.11140 Acta Arith. 192, No. 2, 111-139 (2020). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 11R09 12E05 13P05 11C08 PDF BibTeX XML Cite \textit{W. Sawin} et al., Acta Arith. 192, No. 2, 111--139 (2020; Zbl 1442.11140) Full Text: DOI
Jarden, Moshe; Razon, Aharon Extensions of Hilbertian rings. (English) Zbl 07141347 Glasg. Math. J. 62, No. 1, 1-11 (2020). MSC: 12E30 PDF BibTeX XML Cite \textit{M. Jarden} and \textit{A. Razon}, Glasg. Math. J. 62, No. 1, 1--11 (2020; Zbl 07141347) Full Text: DOI
Reis, Lucas Möbius-like maps on irreducible polynomials and rational transformations. (English) Zbl 07094369 J. Pure Appl. Algebra 224, No. 1, 169-180 (2020). MSC: 11T06 11T55 12E20 PDF BibTeX XML Cite \textit{L. Reis}, J. Pure Appl. Algebra 224, No. 1, 169--180 (2020; Zbl 07094369) Full Text: DOI
Usevich, Konstantin; Dreesen, Philippe; Ishteva, Mariya Decoupling multivariate polynomials: interconnections between tensorizations. (English) Zbl 1415.15011 J. Comput. Appl. Math. 363, 22-34 (2020). MSC: 15A21 12E05 15A69 PDF BibTeX XML Cite \textit{K. Usevich} et al., J. Comput. Appl. Math. 363, 22--34 (2020; Zbl 1415.15011) Full Text: DOI arXiv
Machida, Hajime; Pantović, Jovanka Closed sets of monomials in two variables generated by singletons. (English) Zbl 07297100 J. Mult.-Val. Log. Soft Comput. 33, No. 3, 219-238 (2019). MSC: 08A40 12E20 PDF BibTeX XML Cite \textit{H. Machida} and \textit{J. Pantović}, J. Mult.-Val. Log. Soft Comput. 33, No. 3, 219--238 (2019; Zbl 07297100) Full Text: Link
Dicker, Math Book review of: J.-P. Tignol, Galois theory of algebraic equations. 2nd ed. (Dutch) Zbl 1444.00009 Nieuw Arch. Wiskd. (5) 20, No. 4, 299-300 (2019). MSC: 00A17 12-01 12-03 00A05 12E12 01A55 01A60 PDF BibTeX XML Cite \textit{M. Dicker}, Nieuw Arch. Wiskd. (5) 20, No. 4, 299--300 (2019; Zbl 1444.00009)
Ghazaryan, Haik G.; Margaryan, Vachagan N. On smooth solutions of a class of almost hypoelliptic equations of constant strength. (English) Zbl 07240683 Eurasian Math. J. 10, No. 4, 92-95 (2019). MSC: 12E10 26C05 PDF BibTeX XML Cite \textit{H. G. Ghazaryan} and \textit{V. N. Margaryan}, Eurasian Math. J. 10, No. 4, 92--95 (2019; Zbl 07240683) Full Text: DOI MNR
Cheng, Kaimin On constructing two classes of permutation polynomials over finite fields. (English) Zbl 1449.11106 Wuhan Univ. J. Nat. Sci. 24, No. 6, 505-509 (2019). MSC: 11T06 12E10 PDF BibTeX XML Cite \textit{K. Cheng}, Wuhan Univ. J. Nat. Sci. 24, No. 6, 505--509 (2019; Zbl 1449.11106) Full Text: DOI
Sheekey, John MRD codes: constructions and connections. (English) Zbl 07224780 Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter (ISBN 978-3-11-064179-0/hbk; 978-3-11-064209-4/ebook). Radon Series on Computational and Applied Mathematics 23, 255-285 (2019). MSC: 12E20 12K10 51E14 51A40 14 PDF BibTeX XML Cite \textit{J. Sheekey}, Radon Ser. Comput. Appl. Math. 23, 255--285 (2019; Zbl 07224780) Full Text: DOI
Cojan, Stelian Paul A generalization of the theorem of Von Staudt-Hua-Buekenhout-Cojan in the real \(\overset{=}{\partial}-\mathcal{F}\mathbb{R}^k_{td}\), \(1\le k\le 2n+1\), space on real geometric projective \(P_k\), \(1\le k\le 2n+1\), finite dimensional space. II. (English) Zbl 1449.51001 Int. J. Geom. 8, No. 1, 72-80 (2019). MSC: 51A05 32W05 51A10 12E15 PDF BibTeX XML Cite \textit{S. P. Cojan}, Int. J. Geom. 8, No. 1, 72--80 (2019; Zbl 1449.51001) Full Text: Link
Cesarz, Patrick G.; Coulter, Robert S. Image sets with regularity of differences. (English) Zbl 1439.05039 Cryptogr. Commun. 11, No. 6, 1307-1337 (2019). MSC: 05B10 12E10 11T23 68U10 PDF BibTeX XML Cite \textit{P. G. Cesarz} and \textit{R. S. Coulter}, Cryptogr. Commun. 11, No. 6, 1307--1337 (2019; Zbl 1439.05039) Full Text: DOI
Lunsford, Matt D. The Delian problem, Platonic solids, and finite fields. (English) Zbl 1434.12002 Math. Mag. 92, No. 4, 297-299 (2019). MSC: 12F05 12E05 PDF BibTeX XML Cite \textit{M. D. Lunsford}, Math. Mag. 92, No. 4, 297--299 (2019; Zbl 1434.12002) Full Text: DOI
Phạm, Tiến-Sơn Optimality conditions for minimizers at infinity in polynomial programming. (English) Zbl 1437.90160 Math. Oper. Res. 44, No. 4, 1381-1395 (2019). MSC: 90C46 90C26 90C30 14P10 26C05 11C08 12E10 PDF BibTeX XML Cite \textit{T.-S. Phạm}, Math. Oper. Res. 44, No. 4, 1381--1395 (2019; Zbl 1437.90160) Full Text: DOI
Ricci, Paolo Emilio Differential equations for classical and non-classical polynomial sets: a survey. (English) Zbl 1432.33015 Axioms 8, No. 2, Paper No. 50, 15 p. (2019). MSC: 33C99 12E10 PDF BibTeX XML Cite \textit{P. E. Ricci}, Axioms 8, No. 2, Paper No. 50, 15 p. (2019; Zbl 1432.33015) Full Text: DOI
Pinelas, Sandra; Ricci, Paolo Emilio Circular based Sheffer polynomial sequences. (English) Zbl 1431.12002 Bull. Allahabad Math. Soc. 34, No. 2, 217-234 (2019). MSC: 12E10 11B83 05A10 PDF BibTeX XML Cite \textit{S. Pinelas} and \textit{P. E. Ricci}, Bull. Allahabad Math. Soc. 34, No. 2, 217--234 (2019; Zbl 1431.12002)
Riyasat, Mumtaz; Khan, Subuhi; Shah, Shakir Product of Sheffer sequences: properties and examples. (English) Zbl 1431.33014 Tbil. Math. J. 12, No. 2, 101-118 (2019). MSC: 33C45 11B83 05A15 12E10 11C20 PDF BibTeX XML Cite \textit{M. Riyasat} et al., Tbil. Math. J. 12, No. 2, 101--118 (2019; Zbl 1431.33014) Full Text: DOI Euclid
Lewis, Mark; Schacher, Murray Subgroups of division rings. (English) Zbl 07152862 Rocky Mt. J. Math. 49, No. 7, 2227-2251 (2019). Reviewer: Adam Chapman (Tel Hai) MSC: 16K20 12E15 16U60 PDF BibTeX XML Cite \textit{M. Lewis} and \textit{M. Schacher}, Rocky Mt. J. Math. 49, No. 7, 2227--2251 (2019; Zbl 07152862) Full Text: DOI Euclid arXiv
Ershov, Yu. L. On Brown polynomials. II. (English. Russian original) Zbl 07148730 Sib. Math. J. 60, No. 5, 842-845 (2019); translation from Sib. Mat. Zh. 60, No. 5, 1080-1084 (2019). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J10 12E10 11S05 PDF BibTeX XML Cite \textit{Yu. L. Ershov}, Sib. Math. J. 60, No. 5, 842--845 (2019; Zbl 07148730); translation from Sib. Mat. Zh. 60, No. 5, 1080--1084 (2019) Full Text: DOI
Gabrielyan, V. P. On a linearized coverings of a cubic homogeneous equation over a finite field. Lower bounds. (English) Zbl 1427.11138 Proc. Yerevan State Univ., Phys. Math. Sci. 53, No. 2, 119-126 (2019). MSC: 11T99 12E20 PDF BibTeX XML Cite \textit{V. P. Gabrielyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 53, No. 2, 119--126 (2019; Zbl 1427.11138)
Goffard, Pierre-O. Fraud risk assessment within blockchain transactions. (English) Zbl 1427.60088 Adv. Appl. Probab. 51, No. 2, 443-467 (2019). MSC: 60G55 60G40 12E10 91B05 PDF BibTeX XML Cite \textit{P.-O. Goffard}, Adv. Appl. Probab. 51, No. 2, 443--467 (2019; Zbl 1427.60088) Full Text: DOI
Jakhar, Anuj A useful irreducibility result for integer polynomials. (English) Zbl 1442.12001 Am. Math. Mon. 126, No. 10, 943-944 (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12E05 PDF BibTeX XML Cite \textit{A. Jakhar}, Am. Math. Mon. 126, No. 10, 943--944 (2019; Zbl 1442.12001) Full Text: DOI