Chaichana, Tuangrat; Laohakosol, Vichian; Meesa, Rattiya; Yuttanan, Boonrod Polynomials taking integer values on primes in a function field. (English) Zbl 1512.13012 Turk. J. Math. 47, No. 4, 1073-1086 (2023). Reviewer: Ali Benhissi (Monastir) MSC: 13F20 11R58 PDFBibTeX XMLCite \textit{T. Chaichana} et al., Turk. J. Math. 47, No. 4, 1073--1086 (2023; Zbl 1512.13012) Full Text: DOI
Cassady, Connor Hasse principles for quadratic forms over function fields. (English) Zbl 1527.11029 J. Algebra 628, 613-633 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E04 11E72 11E81 12F20 12G05 12J10 13J10 14G12 PDFBibTeX XMLCite \textit{C. Cassady}, J. Algebra 628, 613--633 (2023; Zbl 1527.11029) Full Text: DOI arXiv
Bae, Sunghan; Hu, Su; Sha, Min On the Carmichael rings, Carmichael ideals and Carmichael polynomials. (English) Zbl 1499.13013 Colloq. Math. 171, No. 1, 1-17 (2023). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 13A15 11T06 11R58 11R60 PDFBibTeX XMLCite \textit{S. Bae} et al., Colloq. Math. 171, No. 1, 1--17 (2023; Zbl 1499.13013) Full Text: DOI arXiv
Loboda, Aleksandr Vasil’evich; Kaverina, Valeriya Konstantinovna On degeneracy of orbits of nilpotent Lie algebras. (Russian. English summary) Zbl 1513.32037 Ufim. Mat. Zh. 14, No. 1, 57-83 (2022). MSC: 32M12 32A10 17B66 14H10 13A15 PDFBibTeX XMLCite \textit{A. V. Loboda} and \textit{V. K. Kaverina}, Ufim. Mat. Zh. 14, No. 1, 57--83 (2022; Zbl 1513.32037) Full Text: DOI MNR
Yang, Jing; Yap, Chee K. On \(\mu\)-symmetric polynomials. (English) Zbl 1506.12001 J. Algebra Appl. 21, No. 12, Article ID 2250233, 33 p. (2022). MSC: 12-08 68W30 05E05 13P10 PDFBibTeX XMLCite \textit{J. Yang} and \textit{C. K. Yap}, J. Algebra Appl. 21, No. 12, Article ID 2250233, 33 p. (2022; Zbl 1506.12001) Full Text: DOI arXiv
Fedorov, G. V.; Zhgoon, V. S.; Petrunin, M. M.; Shteinikov, Yu. N. On the parametrization of hyperelliptic fields with \(S\)-units of degrees 7 and 9. (English. Russian original) Zbl 1517.11083 Math. Notes 112, No. 3, 451-457 (2022); translation from Mat. Zametki 112, No. 3, 444-452 (2022). Reviewer: Vijay Yadav (Virar) MSC: 11J70 11R58 11R27 13P10 PDFBibTeX XMLCite \textit{G. V. Fedorov} et al., Math. Notes 112, No. 3, 451--457 (2022; Zbl 1517.11083); translation from Mat. Zametki 112, No. 3, 444--452 (2022) Full Text: DOI
Caicedo, Xavier; Mantilla-Soler, Guillermo On a characterization of path connected topological fields. (English) Zbl 1428.54011 J. Pure Appl. Algebra 223, No. 12, 5279-5284 (2019). Reviewer: Mehdi Parsinia (Ahvaz) MSC: 54H13 12J99 13J99 54C40 46E25 PDFBibTeX XMLCite \textit{X. Caicedo} and \textit{G. Mantilla-Soler}, J. Pure Appl. Algebra 223, No. 12, 5279--5284 (2019; Zbl 1428.54011) Full Text: DOI arXiv
Cutkosky, Steven Dale Finite generation of extensions of associated graded rings along a valuation. (English) Zbl 1401.14019 J. Lond. Math. Soc., II. Ser. 98, No. 1, 177-203 (2018). Reviewer: Peter Schenzel (Halle) MSC: 14B05 14B25 13B10 11S15 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, J. Lond. Math. Soc., II. Ser. 98, No. 1, 177--203 (2018; Zbl 1401.14019) Full Text: DOI arXiv
Kuhlmann, Franz-Viktor; Kuhlmann, Salma Valuation theory of exponential Hardy fields. II: Principal parts of germs in the Hardy field of o-minimal exponential expansions of the reals. Dedicated to the memory of Murray Marshall. (English) Zbl 1437.03131 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 697, 227-237 (2017). MSC: 03C64 06A05 12J10 12J15 12L12 13A18 03C60 12F05 12F10 12F20 PDFBibTeX XMLCite \textit{F.-V. Kuhlmann} and \textit{S. Kuhlmann}, Contemp. Math. 697, 227--237 (2017; Zbl 1437.03131) Full Text: DOI
Hickel, Michel; Matusinski, Mickaël On the algebraicity of Puiseux series. (English) Zbl 1390.13074 Rev. Mat. Complut. 30, No. 3, 589-620 (2017). Reviewer: Ali Benhissi (Monastir) MSC: 13J05 14H05 12Y99 13F25 PDFBibTeX XMLCite \textit{M. Hickel} and \textit{M. Matusinski}, Rev. Mat. Complut. 30, No. 3, 589--620 (2017; Zbl 1390.13074) Full Text: DOI arXiv
Ward, Kenneth A. Explicit Galois representations of automorphisms on holomorphic differentials in characteristic \(p\). (English) Zbl 1359.14034 Finite Fields Appl. 44, 34-55 (2017). Reviewer: Günter Lettl (Graz) MSC: 14H55 11R60 11G20 11G09 11R58 14H37 13N05 PDFBibTeX XMLCite \textit{K. A. Ward}, Finite Fields Appl. 44, 34--55 (2017; Zbl 1359.14034) Full Text: DOI arXiv
Gorodentsev, Alexey L. Algebra I. Textbook for students of mathematics. Translated from the Russian. Originally published by MCCME, Moscow, 2013. (English) Zbl 1359.15001 Cham: Springer (ISBN 978-3-319-45284-5/hbk; 978-3-319-45285-2/ebook). xx, 564 p. (2016). Reviewer: John D. Dixon (Ottawa) MSC: 15-01 13-01 14-01 20-01 PDFBibTeX XMLCite \textit{A. L. Gorodentsev}, Algebra I. Textbook for students of mathematics. Translated from the Russian. Originally published by MCCME, Moscow, 2013. Cham: Springer (2016; Zbl 1359.15001) Full Text: DOI
Tochimani, Azucena; Vaz Pinto, Maria; Villarreal, Rafael H. Direct products in projective Segre codes. (English) Zbl 1391.13059 Finite Fields Appl. 39, 96-110 (2016). Reviewer: Diego Ruano (Aalborg) MSC: 13P25 94B27 11T71 14N05 15A78 14G50 PDFBibTeX XMLCite \textit{A. Tochimani} et al., Finite Fields Appl. 39, 96--110 (2016; Zbl 1391.13059) Full Text: DOI arXiv
Harbater, David; Hartmann, Julia; Krashen, Daniel Refinements to patching and applications to field invariants. (English) Zbl 1386.14101 Int. Math. Res. Not. 2015, No. 20, 10399-10450 (2015). Reviewer: Detlev Hoffmann (Dortmund) MSC: 14H05 14F22 11E04 11E81 13F25 14H25 16K20 16K50 12J10 PDFBibTeX XMLCite \textit{D. Harbater} et al., Int. Math. Res. Not. 2015, No. 20, 10399--10450 (2015; Zbl 1386.14101) Full Text: DOI arXiv
Nie, Zipei; Wang, Anthony Y. Hilbert functions and the finite degree Zariski closure in finite field combinatorial geometry. (English) Zbl 1436.14046 J. Comb. Theory, Ser. A 134, 196-220 (2015). MSC: 14G15 13D40 PDFBibTeX XMLCite \textit{Z. Nie} and \textit{A. Y. Wang}, J. Comb. Theory, Ser. A 134, 196--220 (2015; Zbl 1436.14046) Full Text: DOI arXiv
Michailov, Ivo M. Noether’s problem for abelian extensions of cyclic \(p\)-groups. (English) Zbl 1326.14027 Pac. J. Math. 270, No. 1, 167-189 (2014). Reviewer: Mowaffaq Hajja (Irbid) MSC: 14E08 14M20 13A50 12F12 PDFBibTeX XMLCite \textit{I. M. Michailov}, Pac. J. Math. 270, No. 1, 167--189 (2014; Zbl 1326.14027) Full Text: DOI arXiv
Mittmann, Johannes; Saxena, Nitin; Scheiblechner, Peter Algebraic independence in positive characteristic: a \(p\)-adic calculus. (English) Zbl 1350.13015 Trans. Am. Math. Soc. 366, No. 7, 3425-3450 (2014). MSC: 13F20 13F35 14F30 14F40 68Q17 68W30 PDFBibTeX XMLCite \textit{J. Mittmann} et al., Trans. Am. Math. Soc. 366, No. 7, 3425--3450 (2014; Zbl 1350.13015) Full Text: DOI arXiv
Scognamillo, Renata; Zannier, Umberto Introductory notes on valuation rings and function fields in one variable. (English) Zbl 1330.13001 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 14. Pisa: Edizioni della Normale (ISBN 978-88-7642-500-4/pbk; 978-88-7642-501-1/ebook). viii, 119 p. (2014). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13-01 13A18 13F30 14H05 PDFBibTeX XMLCite \textit{R. Scognamillo} and \textit{U. Zannier}, Introductory notes on valuation rings and function fields in one variable. Pisa: Edizioni della Normale (2014; Zbl 1330.13001) Full Text: DOI
Piñero, Fernando; Janwa, Heeralal On the subfield subcodes of Hermitian codes. (English) Zbl 1331.94084 Des. Codes Cryptography 70, No. 1-2, 157-173 (2014). MSC: 94B60 05E40 11T71 12Y05 13P10 14G50 14H05 PDFBibTeX XMLCite \textit{F. Piñero} and \textit{H. Janwa}, Des. Codes Cryptography 70, No. 1--2, 157--173 (2014; Zbl 1331.94084) Full Text: DOI
Harbater, David Patching in algebra. (English) Zbl 1301.12001 Arias-de-Reyna, Sara (ed.) et al., Special issue: Proceedings of the Winter School on Galois theory, Universtity of Luxembourg, Luxembourg, February 15–24, 2012. Vol. II. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-919940-09-7/pbk). Travaux Mathématiques 23, 37-86 (2013). MSC: 12E30 14H05 13J10 14H25 14G05 20G15 PDFBibTeX XMLCite \textit{D. Harbater}, Trav. Math. 23, 37--86 (2013; Zbl 1301.12001) Full Text: Link
Spodzieja, Stanisław A geometric model of an arbitrary real closed field. (English) Zbl 1318.14053 Pac. J. Math. 264, No. 2, 455-469 (2013). Reviewer: Niels Schwartz (Passau) MSC: 14P10 12J15 14P20 13J30 PDFBibTeX XMLCite \textit{S. Spodzieja}, Pac. J. Math. 264, No. 2, 455--469 (2013; Zbl 1318.14053) Full Text: DOI
Steel, Allan K. Computing with algebraically closed fields. (English) Zbl 1180.12005 J. Symb. Comput. 45, No. 3, 342-372 (2010). MSC: 12Y05 12F05 12-04 13P10 68W30 PDFBibTeX XMLCite \textit{A. K. Steel}, J. Symb. Comput. 45, No. 3, 342--372 (2010; Zbl 1180.12005) Full Text: DOI
Aravire, Roberto; Jacob, Bill \(H^1(X, \nu)\) of conics and Witt kernels in characteristic 2. (English) Zbl 1244.11031 Baeza, Ricardo (ed.) et al., Quadratic forms – algebra, arithmetic, and geometry. Based on the international conference on the algebraic and arithmetic theory of quadratic forms, Frutillar, Chile, December 13–19, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4648-3/pbk). Contemporary Mathematics 493, 1-19 (2009). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E04 11E81 12G99 12H05 13N05 14F99 PDFBibTeX XMLCite \textit{R. Aravire} and \textit{B. Jacob}, Contemp. Math. 493, 1--19 (2009; Zbl 1244.11031)
Adam, David Pólya and Newtonian function fields. (English) Zbl 1141.11057 Manuscr. Math. 126, No. 2, 231-246 (2008). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R58 13F20 PDFBibTeX XMLCite \textit{D. Adam}, Manuscr. Math. 126, No. 2, 231--246 (2008; Zbl 1141.11057) Full Text: DOI
Little, John B. The ubiquity of order domains for the construction of error control codes. (English) Zbl 1198.94190 Adv. Math. Commun. 1, No. 1, 151-171 (2007); erratum ibid. 2, No. 3, 344-345 (2008). MSC: 94B27 14G50 13P10 13A18 PDFBibTeX XMLCite \textit{J. B. Little}, Adv. Math. Commun. 1, No. 1, 151--171 (2007; Zbl 1198.94190) Full Text: DOI arXiv
Maakestad, Helge Øystein On operations and characteristic classes. arXiv:0712.1128 Preprint, arXiv:0712.1128 [math.KT] (2007). MSC: 13D15 17B66 19A49 14H05 12F15 BibTeX Cite \textit{H. Ø. Maakestad}, ``On operations and characteristic classes'', Preprint, arXiv:0712.1128 [math.KT] (2007) Full Text: arXiv OA License
Beth, Thomas; Müller-Quade, Jörn; Steinwandt, Rainer Computing restrictions of ideals in finitely generated \(k\)-algebras by means of Buchberger’s algorithm. (English) Zbl 1130.13017 J. Symb. Comput. 41, No. 3-4, 372-380 (2006). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 13P10 68W30 12Y05 PDFBibTeX XMLCite \textit{T. Beth} et al., J. Symb. Comput. 41, No. 3--4, 372--380 (2006; Zbl 1130.13017) Full Text: DOI
Swanson, Irena; Villamayor, Orlando On free integral extensions generated by one element. (English) Zbl 1108.13010 Corso, Alberto (ed.) et al., Commutative algebra: geometric, homological, combinatorial and computational aspects. Papers presented during the conference, Sevilla, Spain, June 18–21, 2003 and the conference on commutative algebra, Lisbon, Portugal, June 23–27, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2335-X/pbk). Lecture Notes in Pure and Applied Mathematics 244, 139-257 (2006). Reviewer: Martine Picavet-L’Hermitte (Le Cendre) MSC: 13B02 13H05 12F05 13A35 13B22 PDFBibTeX XMLCite \textit{I. Swanson} and \textit{O. Villamayor}, Lect. Notes Pure Appl. Math. 244, 139--257 (2006; Zbl 1108.13010)
Steel, Allan Conquering inseparability: primary decomposition and multivariate factorization over algebraic function fields of positive characteristic. (English) Zbl 1120.13026 J. Symb. Comput. 40, No. 3, 1053-1075 (2005). MSC: 13P05 13P10 13M10 PDFBibTeX XMLCite \textit{A. Steel}, J. Symb. Comput. 40, No. 3, 1053--1075 (2005; Zbl 1120.13026) Full Text: DOI
Adam, David Simultaneous orderings in function fields. (English) Zbl 1075.11075 J. Number Theory 112, No. 2, 287-297 (2005). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R58 11R09 13F05 13A18 PDFBibTeX XMLCite \textit{D. Adam}, J. Number Theory 112, No. 2, 287--297 (2005; Zbl 1075.11075) Full Text: DOI
Bavula, V. Lüroth field extensions. (English) Zbl 1100.13009 J. Pure Appl. Algebra 199, No. 1-3, 1-10 (2005). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 13B22 12F20 14H05 PDFBibTeX XMLCite \textit{V. Bavula}, J. Pure Appl. Algebra 199, No. 1--3, 1--10 (2005; Zbl 1100.13009) Full Text: DOI
Andersen, J. E.; Askitas, N.; Bar-Natan, D.; Baseilhac, S.; Benedetti, R.; Bigelow, S.; Boileau, M.; Bott, R.; Carter, J. S.; Deloup, F.; Dunfield, N.; Fenn, R.; Ferrand, E.; Garoufalidis, S.; Goussarov, M.; Guadagnini, E.; Habiro, H.; Hansen, S. K.; Harikae, T.; Haviv, A.; Jeong, M. -J.; Jones, V.; Kashaev, R.; Kawahigashi, Y.; Kerler, T.; Kidwell, M.; Kohno, T.; Kricker, A.; Le, T. T. Q.; Lescop, C.; Lin, X. -S.; Masbaum, G.; Massuyeau, G.; Morita, S.; Morton, H. R.; Murakami, H.; Murakami, J.; Nakanishi, Y.; Ohtsuki, T.; Ohyama, Y.; Okamoto, M.; Okuda, N.; Park, C. -Y.; Pilo, L.; Polyak, M.; Przytycki, J.; Roberts, J.; Rourke, C.; Rozansky, L.; Sanderson, B.; Sato, N.; Shinohara, Y.; Stanford, T.; Stoimenow, A.; Takata, T.; Thurston, D.; Turaev, V.; Viro, O.; Willerton, S.; Yokota, Y. Problems on invariants of knots and 3-manifolds. arXiv:math/0406190 Preprint, arXiv:math/0406190 [math.GT] (2004). MSC: 20F36 57M25 57M27 57R56 13B25 17B10 17B37 18D10 20C08 20G42 22E99 41A60 46L37 57M05 57M50 57N10 57Q10 81T18 81T45 BibTeX Cite \textit{J. E. Andersen} et al., ``Problems on invariants of knots and 3-manifolds'', Preprint, arXiv:math/0406190 [math.GT] (2004) Full Text: arXiv
Van der Waerden, B. L. [Artin, E.; Noether, E.] Algebra. Volume II. Based in part on lectures by E. Artin and E. Noether. Transl. from the German 5th ed. by John R. Schulenberger. 1st paperback ed. (English) Zbl 1032.00002 New York, NY: Springer. xii, 284 p. (2003). Reviewer: Werner Kleinert (Berlin) MSC: 00A05 13-01 12-01 20-01 PDFBibTeX XMLCite \textit{B. L. Van der Waerden}, Algebra. Volume II. Based in part on lectures by E. Artin and E. Noether. Transl. from the German 5th ed. by John R. Schulenberger. 1st paperback ed. New York, NY: Springer (2003; Zbl 1032.00002)
Halter-Koch, Franz Kronecker function rings and generalized integral closures. (English) Zbl 1073.13507 Commun. Algebra 31, No. 1, 45-59 (2003). MSC: 13G05 13B22 13A15 13F20 11R58 PDFBibTeX XMLCite \textit{F. Halter-Koch}, Commun. Algebra 31, No. 1, 45--59 (2003; Zbl 1073.13507) Full Text: DOI
Özbudak, Ferruh A note on divisor class groups of degree zero of algebraic function fields over finite fields. (English) Zbl 1026.11087 Finite Fields Appl. 9, No. 1, 129-133 (2003). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11R58 14H05 11G20 13C20 PDFBibTeX XMLCite \textit{F. Özbudak}, Finite Fields Appl. 9, No. 1, 129--133 (2003; Zbl 1026.11087) Full Text: DOI
Lang, Serge Algebra. 3rd revised ed. (English) Zbl 0984.00001 Graduate Texts in Mathematics. 211. New York, NY: Springer. xv, 914 p. (2002). Reviewer: Paul M.Cohn (London) MSC: 00A05 12-01 13-01 15-01 16-01 18-01 20-01 14-01 11-01 PDFBibTeX XMLCite \textit{S. Lang}, Algebra. 3rd revised ed. New York, NY: Springer (2002; Zbl 0984.00001)
Scheidler, Renate Ideal arithmetic and infrastructure in purely cubic function fields. (English) Zbl 0995.11064 J. Théor. Nombres Bordx. 13, No. 2, 609-631 (2001). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11R58 14H52 13P99 PDFBibTeX XMLCite \textit{R. Scheidler}, J. Théor. Nombres Bordx. 13, No. 2, 609--631 (2001; Zbl 0995.11064) Full Text: DOI Numdam EuDML EMIS
Müller-Quade, Jörn; Steinwandt, Rainer Recognizing simple subextensions of purely transcendental field extensions. (English) Zbl 0997.12006 Appl. Algebra Eng. Commun. Comput. 11, No. 1, 35-41 (2000). Reviewer: John N.Mordeson (Omaha) MSC: 12F20 13P10 12Y05 68W30 PDFBibTeX XMLCite \textit{J. Müller-Quade} and \textit{R. Steinwandt}, Appl. Algebra Eng. Commun. Comput. 11, No. 1, 35--41 (2000; Zbl 0997.12006) Full Text: DOI
Cutkosky, Steven Dale Simultaneous resolution of singularities. (English) Zbl 0974.14010 Proc. Am. Math. Soc. 128, No. 7, 1905-1910 (2000). Reviewer: Dorin-Mihail Popescu (Bucureşti)) MSC: 14E15 13A18 14B05 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Proc. Am. Math. Soc. 128, No. 7, 1905--1910 (2000; Zbl 0974.14010) Full Text: DOI arXiv
Pheidas, Thanases; Zahidi, Karim Undecidable existential theories of polynomial rings and function fields. (English) Zbl 0934.03014 Commun. Algebra 27, No. 10, 4993-5010 (1999). Reviewer: J.M.Plotkin (East Lansing) MSC: 03B25 14H05 03C60 13N15 PDFBibTeX XMLCite \textit{T. Pheidas} and \textit{K. Zahidi}, Commun. Algebra 27, No. 10, 4993--5010 (1999; Zbl 0934.03014) Full Text: DOI
Müller-Quade, Jörn; Steinwandt, Rainer Basic algorithms for rational function fields. (English) Zbl 0935.11046 J. Symb. Comput. 27, No. 2, 143-170 (1999). Reviewer: Claus Fieker (Berlin) MSC: 11Y40 11R58 68W30 12Y05 13P10 PDFBibTeX XMLCite \textit{J. Müller-Quade} and \textit{R. Steinwandt}, J. Symb. Comput. 27, No. 2, 143--170 (1999; Zbl 0935.11046) Full Text: DOI
Vasconcelos, Wolmer V. Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. (English) Zbl 0896.13021 Algorithms and Computation in Mathematics 2. Berlin: Springer. xi, 394 p. (1998). Reviewer: P.Schenzel (Halle) MSC: 13P10 14Qxx 13Pxx 13-01 14-01 13D40 13H15 12F20 14A05 PDFBibTeX XMLCite \textit{W. V. Vasconcelos}, Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. Berlin: Springer (1998; Zbl 0896.13021)
Lamprecht, Erich Existence of and computation of integral bases. (English) Zbl 1024.11074 Acta Math. Inform. Univ. Ostrav. 6, No. 1, 121-128 (1998). Reviewer: Juraj Kostra (Ostrava) MSC: 11R33 11R58 11S23 13F20 PDFBibTeX XMLCite \textit{E. Lamprecht}, Acta Math. Inform. Univ. Ostrav. 6, No. 1, 121--128 (1998; Zbl 1024.11074) Full Text: EuDML
Ries, Heather; Shlapentokh, Alexandra Holomorphy modules of number fields and function fields. (English) Zbl 0921.11057 Algebra Colloq. 5, No. 2, 219-240 (1998). Reviewer: Roberto Dvornicich (Pisa) MSC: 11R58 13C05 20K15 13F30 PDFBibTeX XMLCite \textit{H. Ries} and \textit{A. Shlapentokh}, Algebra Colloq. 5, No. 2, 219--240 (1998; Zbl 0921.11057)
Müller-Quade, Jörn; Steinwandt, Rainer; Beth, Thomas An application of Gröbner bases to the decomposition of rational mappings. (English) Zbl 0913.14004 Buchberger, Bruno (ed.) et al., Gröbner bases and applications. Based on a course for young researchers, January 1998, and the conference “33 years of Gröbner bases”, Linz, Austria, February 2–4, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 251, 448-462 (1998). Reviewer: T.G.Berry (Caracas) MSC: 14E05 13P10 14H05 PDFBibTeX XMLCite \textit{J. Müller-Quade} et al., Lond. Math. Soc. Lect. Note Ser. 251, 448--462 (1998; Zbl 0913.14004)
Pretzel, Oliver Codes and algebraic curves. (English) Zbl 0884.94027 Oxford Lecture Series in Mathematics and its Applications. 8. Oxford: Clarendon Press. xii, 192 p. (1998). Reviewer: Robert F.Lax (Baton Rouge) MSC: 94B25 94-01 11G20 14H25 13F30 12F99 11T71 PDFBibTeX XMLCite \textit{O. Pretzel}, Codes and algebraic curves. Oxford: Clarendon Press (1998; Zbl 0884.94027)
Mason, A. W.; Odoni, R. W. K. Ideal class groups of Dedekind domains contained in function fields. (English) Zbl 0997.11104 Proc. R. Ir. Acad., Sect. A 97, No. 2, 155-162 (1997). MSC: 11R58 13C20 PDFBibTeX XMLCite \textit{A. W. Mason} and \textit{R. W. K. Odoni}, Proc. R. Ir. Acad., Sect. A 97, No. 2, 155--162 (1997; Zbl 0997.11104)
Moorhouse, G. Eric Some \(p\)-ranks related to geometric structures. (English) Zbl 0893.51012 Johnson, Norman L. (ed.), Mostly finite geometries. In celebration of T. G. Ostrom’s 80th birthday. Proceedings of the TEDFEST ’96 conference, Iowa City, IA, USA, March 1996. Dedicated to T. G. Ostrom on the occasion of his 80th birthday. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 190, 353-364 (1997). Reviewer: J.W.P.Hirschfeld (Falmer) MSC: 51E22 14M15 14G15 13D40 PDFBibTeX XMLCite \textit{G. E. Moorhouse}, Lect. Notes Pure Appl. Math. 190, 353--364 (1997; Zbl 0893.51012)
Fu, David Local weak simultaneous resolution for high rational ranks. (English) Zbl 0931.13001 J. Algebra 194, No. 2, 614-630 (1997). Reviewer: C.Galindo (Castellon) MSC: 13A18 11R58 14B05 14E15 14H05 13H05 PDFBibTeX XMLCite \textit{D. Fu}, J. Algebra 194, No. 2, 614--630 (1997; Zbl 0931.13001) Full Text: DOI
Hajja, Mowaffaq; Kang, Ming-chang Twisted actions of symmetric groups. (English) Zbl 0988.13007 J. Algebra 188, No. 2, 626-647 (1997). MSC: 13A50 20B30 11R58 PDFBibTeX XMLCite \textit{M. Hajja} and \textit{M.-c. Kang}, J. Algebra 188, No. 2, 626--647 (1997; Zbl 0988.13007) Full Text: DOI
Keskar, Pradipkumar H. Linear disjointness of coverings of affine spaces. (English) Zbl 0894.14011 J. Pure Appl. Algebra 114, No. 1, 59-68 (1996). Reviewer: Lucien Bădescu (Bucureşti) MSC: 14H05 14H37 13F20 PDFBibTeX XMLCite \textit{P. H. Keskar}, J. Pure Appl. Algebra 114, No. 1, 59--68 (1996; Zbl 0894.14011) Full Text: DOI
Green, Barry On curves over valuation rings and morphisms to \(\mathbb{P}^ 1\). (English) Zbl 0873.14038 J. Number Theory 59, No. 2, 262-290 (1996). Reviewer: N.Schwartz (Passau) MSC: 14J99 12J10 14H99 13F30 11G99 PDFBibTeX XMLCite \textit{B. Green}, J. Number Theory 59, No. 2, 262--290 (1996; Zbl 0873.14038) Full Text: DOI
Alonso, Cesar; Gutiérrez, Jaime; Recio, Tomás A rational function decomposition algorithm by near-separated polynomials. (Spanish) Zbl 0959.12005 Extr. Math. 11, No. 3, 475-479 (1996). Reviewer: V.Trevisan (Porto Alegre) MSC: 12Y05 68W30 13P05 PDFBibTeX XMLCite \textit{C. Alonso} et al., Extr. Math. 11, No. 3, 475--479 (1996; Zbl 0959.12005) Full Text: EuDML
Lorenzini, Dino An invitation to arithmetic geometry. (English) Zbl 0847.14013 Graduate Studies in Mathematics. 9. Providence, RI: American Mathematical Society (AMS). xv, 397 p. (1995). Reviewer: W.Kleinert (Berlin) MSC: 14Hxx 14-01 13Bxx 11Gxx PDFBibTeX XMLCite \textit{D. Lorenzini}, An invitation to arithmetic geometry. Providence, RI: AMS, American Mathematical Society (1995; Zbl 0847.14013)
Kang, Ming-Chang Finite group actions on rational function fields. (English) Zbl 0836.14033 Bruns, Winfried (ed.) et al., Commutative algebra: Extended abstracts of an international conference, July 27 - August 1, 1994, Vechta, Germany. Cloppenburg: Runge. Vechtaer Universitätsschriften. 13, 114-119 (1994). Reviewer: E.Oeljeklaus (Bremen) MSC: 14M20 14L30 14H05 11R58 13A50 PDFBibTeX XMLCite \textit{M.-C. Kang}, in: Commutative algebra: Extended abstracts of an international conference, July 27 - August 1, 1994, Vechta, Germany. Cloppenburg: Runge. 114--119 (1994; Zbl 0836.14033)
Prestel, A. On a variation of Hilbert’s 17th problem. (English) Zbl 0826.12002 Frey, Gerhard (ed.) et al., Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 219-227 (1994). Reviewer: N.Schwartz (Passau) MSC: 12D15 12J15 12J10 13A18 14P99 PDFBibTeX XMLCite \textit{A. Prestel}, in: Algebra and number theory. Proceedings of a conference held at the Institute of Experimental Mathematics, University of Essen, Germany, December 2-4, 1992. Berlin: de Gruyter. 219--227 (1994; Zbl 0826.12002)
Nakakoshi, Kenji Differential forms of the second kind over a field of characteristic \(p\). (English) Zbl 0769.13011 Arch. Math. 58, No. 3, 248-250 (1992). Reviewer: R.Berger (Saarbrücken) MSC: 13N05 14F10 14H05 PDFBibTeX XMLCite \textit{K. Nakakoshi}, Arch. Math. 58, No. 3, 248--250 (1992; Zbl 0769.13011) Full Text: DOI
Shioda, Tetsuji; Usui, Hisashi Fundamental invariants of Weyl groups and excellent families of elliptic curves. (English) Zbl 0815.14027 Comment. Math. Univ. St. Pauli 41, No. 2, 169-217 (1992). Reviewer: T.Shioda (Tokyo) MSC: 14J27 14H05 13A50 14H10 PDFBibTeX XMLCite \textit{T. Shioda} and \textit{H. Usui}, Comment. Math. Univ. St. Pauli 41, No. 2, 169--217 (1992; Zbl 0815.14027)
Greither, Cornelius Cyclic Galois extensions of commutative rings. (English) Zbl 0788.13003 Lecture Notes in Mathematics. 1534. Berlin: Springer-Verlag. x, 145 p. (1992). Reviewer: Lindsay N. Childs (Albany) MSC: 13B05 13-02 11-02 13B02 11R18 11R33 11S15 14E22 14E20 PDFBibTeX XMLCite \textit{C. Greither}, Cyclic Galois extensions of commutative rings. Berlin: Springer-Verlag (1992; Zbl 0788.13003) Full Text: DOI
Wright, David Two-dimensional Cremona groups acting on simplicial complexes. (English) Zbl 0767.14006 Trans. Am. Math. Soc. 331, No. 1, 281-300 (1992). MSC: 14E07 14J50 20E06 13F20 20B27 PDFBibTeX XMLCite \textit{D. Wright}, Trans. Am. Math. Soc. 331, No. 1, 281--300 (1992; Zbl 0767.14006) Full Text: DOI
Mason, A. W. The order and level of a subgroup of \(GL_ 2\) over a Dedekind ring of arithmetic type. (English) Zbl 0735.20025 Proc. R. Soc. Edinb., Sect. A 119, No. 3-4, 191-212 (1991). MSC: 20G35 20E07 13F05 PDFBibTeX XMLCite \textit{A. W. Mason}, Proc. R. Soc. Edinb., Sect. A, Math. 119, No. 3--4, 191--212 (1991; Zbl 0735.20025) Full Text: DOI
Zippel, Richard Rational function decomposition. (English) Zbl 0959.12006 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15-17, 1991. New York, NY: ACM Press, 1-6 (1991). MSC: 12Y05 68W30 13P05 PDFBibTeX XMLCite \textit{R. Zippel}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 1--6 (1991; Zbl 0959.12006)
Edwards, Harold M. Divisor theory. (English) Zbl 0689.12001 Boston etc.: Birkhäuser Verlag. xiv, 166 p. DM 68.00; sFr. 58.00 (1990). Reviewer: Doru Ştefănescu MSC: 12-03 13-03 01A55 13A15 12E05 13B25 PDFBibTeX XMLCite \textit{H. M. Edwards}, Divisor theory. Boston etc.: Birkhäuser Verlag (1990; Zbl 0689.12001)
Keating, Kevin Galois extensions associated to deformations of formal A-modules. (English) Zbl 0732.14022 J. Fac. Sci., Univ. Tokyo, Sect. I A 37, No. 1, 151-170 (1990). Reviewer: A.R.Magid (Norman) MSC: 14L05 11S31 13F25 11R58 PDFBibTeX XMLCite \textit{K. Keating}, J. Fac. Sci., Univ. Tokyo, Sect. I A 37, No. 1, 151--170 (1990; Zbl 0732.14022)
Lamprecht, E. Integral bases in function and number fields. (English) Zbl 0723.11056 Number theory. Vol. II. Diophantine and algebraic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 795-827 (1990). Reviewer: C.Parry (Blacksburg) MSC: 11R33 11R58 13B22 PDFBibTeX XML
Tang, Zhongming An algebraic approach to the residues in algebraic geometry. (English) Zbl 0664.13010 Math. Z. 203, No. 1, 1-8 (1990). Reviewer: Z.Tang MSC: 13N05 14A05 11R58 14F10 PDFBibTeX XMLCite \textit{Z. Tang}, Math. Z. 203, No. 1, 1--8 (1990; Zbl 0664.13010) Full Text: DOI EuDML
Jensen, Christian U.; Lenzing, Helmut Model theoretic algebra: with particular emphasis on fields, rings, modules. (English) Zbl 0728.03026 Algebra, Logic and Applications, 2. New York etc.: Gordon and Breach Science Publishers. xiii, 443 p. (1989). Reviewer: H.-J.Vogel (Potsdam) MSC: 03C60 03-02 12L12 13L05 16B70 03C20 12E05 12E25 13E05 13F05 PDFBibTeX XMLCite \textit{C. U. Jensen} and \textit{H. Lenzing}, Model theoretic algebra: with particular emphasis on fields, rings, modules. New York etc.: Gordon and Breach Science Publishers (1989; Zbl 0728.03026)
Kucharz, Wojciech Invertible ideals in real holomorphy rings. (English) Zbl 0653.13001 J. Reine Angew. Math. 395, 171-185 (1989). Reviewer: W.Kucharz MSC: 13A15 12D15 14Pxx 14F05 13A05 PDFBibTeX XMLCite \textit{W. Kucharz}, J. Reine Angew. Math. 395, 171--185 (1989; Zbl 0653.13001) Full Text: DOI Crelle EuDML
Allouche, Jean-Paul; Deshouillers, Jean-Marc Répartition de la suite des puissances d’une série formelle algébrique. (Distribution of the sequence of powers of a formal algebraic series). (French) Zbl 0713.11045 Publ. Math. Orsay 88/02, 37-47 (1988). MSC: 11K06 11K55 11T99 13F25 11R58 PDFBibTeX XMLCite \textit{J.-P. Allouche} and \textit{J.-M. Deshouillers}, Publ. Math. Orsay 88/02, 37--47 (1988; Zbl 0713.11045)
Abu-Saymeh, Sadi Higher derivations of algebraic function fields. (English) Zbl 0666.13003 Math. J. Okayama Univ. 30, 5-12 (1988). Reviewer: Robert Berger (Saarbrücken) MSC: 13B10 13N05 11R58 14H05 PDFBibTeX XMLCite \textit{S. Abu-Saymeh}, Math. J. Okayama Univ. 30, 5--12 (1988; Zbl 0666.13003)
Sharif, Habib; Woodcock, Christopher F. Algebraic functions over a field of positive characteristic and Hadamard products. (English) Zbl 0612.12018 J. Lond. Math. Soc., II. Ser. 37, No. 3, 395-403 (1988). MSC: 12E99 11R58 13F25 11T99 11J81 PDFBibTeX XMLCite \textit{H. Sharif} and \textit{C. F. Woodcock}, J. Lond. Math. Soc., II. Ser. 37, No. 3, 395--403 (1988; Zbl 0612.12018) Full Text: DOI
Jadda, Zoubida Constructions de places réelles dans géométrie semialgébrique. (Constructions of real places in semialgebraic geometry). (Thèse). (French) Zbl 0672.14013 Publ. Inst. Rech. Math. Rennes 1987, No. 4, 63 p. (1987). Reviewer: A.F.T.W.Rosenberg MSC: 14Pxx 12D15 13A18 PDFBibTeX XML
Douai, Jean-Claude Le théorème de Tate-Poitou pour les corps de fonctions des courbes définies sur les corps de séries formelles en une variable sur un corps algébriquement clos. (The Tate-Poitou theorem for the function fields of curves defined on the fields of formal series in one variable over an algebraically closed field). (French) Zbl 0651.12008 Commun. Algebra 15, 2379-2390 (1987). Reviewer: E.-U.Gekeler MSC: 11R34 14H05 13J05 11R58 11R37 PDFBibTeX XMLCite \textit{J.-C. Douai}, Commun. Algebra 15, 2379--2390 (1987; Zbl 0651.12008) Full Text: DOI
Garcia, Arnaldo; Voloch, J. F. Wronskians and linear independence in fields of prime characteristic. (English) Zbl 0637.12015 Manuscr. Math. 59, 457-469 (1987). MSC: 12H05 14H05 13N05 PDFBibTeX XMLCite \textit{A. Garcia} and \textit{J. F. Voloch}, Manuscr. Math. 59, 457--469 (1987; Zbl 0637.12015) Full Text: DOI EuDML
Mason, A. W. Free quotients of congruence subgroups of \(SL_ 2\) over a Dedekind ring of arithmetic type contained in a function field. (English) Zbl 0619.20030 Math. Proc. Camb. Philos. Soc. 101, 421-429 (1987). Reviewer: G.Rosenberger MSC: 20H05 20E07 11R58 20G35 11E57 11F06 13F05 PDFBibTeX XMLCite \textit{A. W. Mason}, Math. Proc. Camb. Philos. Soc. 101, 421--429 (1987; Zbl 0619.20030) Full Text: DOI
Schülting, H.-W Sums of 2n-th powers in real function fields. (English) Zbl 0604.12017 Algebra and order, Proc. 1st Int. Symp., Luminy-Marseilles/France 1984, Res. Expo. Math. 14, 171-174 (1986). MSC: 12J10 12D15 11E10 14Pxx 13A18 PDFBibTeX XML
Schülting, H. W. Prime divisors on real varieties and valuation theory. (English) Zbl 0595.12015 J. Algebra 98, 499-514 (1986). Reviewer: A.Prestel MSC: 12J10 12D15 11E10 14Pxx 13A18 PDFBibTeX XMLCite \textit{H. W. Schülting}, J. Algebra 98, 499--514 (1986; Zbl 0595.12015) Full Text: DOI
Greither, Cornelius Forms of the affine line and their genus. (English) Zbl 0576.14028 J. Pure Appl. Algebra 39, 105-118 (1986). MSC: 14H20 12F15 14H05 13F20 PDFBibTeX XMLCite \textit{C. Greither}, J. Pure Appl. Algebra 39, 105--118 (1986; Zbl 0576.14028) Full Text: DOI
Kawahara, Yusaku; Uchibori, Tomio On residues of differential forms in algebraic function fields of several variables. (English) Zbl 0578.12011 TRU Math. 21, 173-180 (1985). Reviewer: R.Berger MSC: 11R58 13B10 12F20 12J10 14H05 14A05 PDFBibTeX XMLCite \textit{Y. Kawahara} and \textit{T. Uchibori}, TRU Math. 21, 173--180 (1985; Zbl 0578.12011)
van der Linden, F. J. Euclidean rings with two infinite primes. (English) Zbl 0555.12001 CWI Tracts, 15. Centrum voor Wiskunde en Informatica. Amsterdam: Mathematisch Centrum. vii, 200 p. Dfl. 27.40 (1985). Reviewer: Veikko Ennola (Turku) MSC: 11R27 11Y40 11R58 11R21 11-02 13F07 PDFBibTeX XML
Basarab, Şerban A. On some classes of Hilbertian fields. (English) Zbl 0547.12016 Result. Math. 7, 1-34 (1984). Reviewer: P.Roquette MSC: 12F99 12L12 12D15 14A05 03B25 03C60 12J15 03C10 11S99 13F05 PDFBibTeX XMLCite \textit{Ş. A. Basarab}, Result. Math. 7, 1--34 (1984; Zbl 0547.12016) Full Text: DOI
Popescu, Dorin On Zariski’s uniformization theorem. (English) Zbl 0534.13013 Algebraic Geometry, Proc. int. Conf., Bucharest/Rom. 1982, Lect. Notes Math. 1056, 264-296 (1984). MSC: 13L05 18A30 11R58 13F30 12F99 13F10 14A05 PDFBibTeX XML
Klein, Rolf On Hilbertian fields. (Über Hilbertsche Körper.) (German) Zbl 0486.12008 J. Reine Angew. Math. 337, 171-194 (1982). Reviewer: Rolf Klein (Erlangen) MSC: 12E05 11R09 12F20 11R58 13F20 PDFBibTeX XMLCite \textit{R. Klein}, J. Reine Angew. Math. 337, 171--194 (1982; Zbl 0486.12008) Full Text: DOI Crelle EuDML
Suslin, A. A. One theorem of Cohn. (English) Zbl 0462.12008 J. Sov. Math. 17, 1801-1803 (1981). MSC: 12F20 13F20 12J10 11R58 PDFBibTeX XMLCite \textit{A. A. Suslin}, J. Sov. Math. 17, 1801--1803 (1981; Zbl 0462.12008) Full Text: DOI
Lenstra, Hendrik W. jun. Euclidean number fields. I. II. III. (English) Zbl 0433.12004 Math. Intell. 2, 6-15, 73-83, 99-103 (1979). MSC: 11R27 11R18 11R23 13F07 11R06 12-04 PDFBibTeX XMLCite \textit{H. W. Lenstra jun.}, Math. Intell. 2, 6--15, 73--83, 99--103 (1979; Zbl 0433.12004) Full Text: DOI
Epstein, H. I.; Caviness, B. F. A structure theorem for the elementary functions and its application to the identity problem. (English) Zbl 0421.68043 Int. J. Comput. Inform. Sci. 8, 9-37 (1979). MSC: 68W30 13N05 12H05 12F20 47E05 PDFBibTeX XMLCite \textit{H. I. Epstein} and \textit{B. F. Caviness}, Int. J. Comput. Inform. Sci. 8, 9--37 (1979; Zbl 0421.68043) Full Text: DOI
Karakas, H. Ibrahim On generalized Weierstrass points. (English) Zbl 0391.14003 J. Pure Appl. Sci., Ankara 9, 1-14 (1976). MSC: 14H55 14H20 13H99 13F25 11R56 PDFBibTeX XMLCite \textit{H. I. Karakas}, J. Pure Appl. Sci., Ankara 9, 1--14 (1976; Zbl 0391.14003)
Markanda, Raj Euclidean rings of algebraic numbers and functions. (English) Zbl 0321.12001 J. Algebra 37, 425-446 (1975). Reviewer: Hideo Yokoi (Aichi) MSC: 11R04 11R58 13G05 13F15 PDFBibTeX XMLCite \textit{R. Markanda}, J. Algebra 37, 425--446 (1975; Zbl 0321.12001) Full Text: DOI
Queen, Clifford Arithmetic euclidean rings. (English) Zbl 0423.12013 Acta Arith. 26, 105-113 (1974). MSC: 11R58 13F07 11R52 PDFBibTeX XMLCite \textit{C. Queen}, Acta Arith. 26, 105--113 (1974; Zbl 0423.12013) Full Text: DOI EuDML
Madan, Manohar L.; Queen, Clifford S. Euclidean function fields. (English) Zbl 0275.12102 J. Reine Angew. Math. 262-263, 271-277 (1973). MSC: 11T55 11R58 12F20 13F10 PDFBibTeX XMLCite \textit{M. L. Madan} and \textit{C. S. Queen}, J. Reine Angew. Math. 262--263, 271--277 (1973; Zbl 0275.12102) Full Text: Crelle EuDML