Del Corso, Ilaria; Ferri, Fabio; Lombardo, Davide How far is an extension of \(p\)-adic fields from having a normal integral basis? (English) Zbl 1487.11104 J. Number Theory 233, 158-197 (2022). Reviewer: Günter Lettl (Graz) MSC: 11R33 11R04 PDF BibTeX XML Cite \textit{I. Del Corso} et al., J. Number Theory 233, 158--197 (2022; Zbl 1487.11104) Full Text: DOI arXiv OpenURL
Moraes de Oliveira, Nathália; Nart, Enric Reduced normal form of local integral bases. (English) Zbl 1428.11184 Acta Arith. 178, No. 2, 181-200 (2017). MSC: 11R04 11Y40 PDF BibTeX XML Cite \textit{N. Moraes de Oliveira} and \textit{E. Nart}, Acta Arith. 178, No. 2, 181--200 (2017; Zbl 1428.11184) Full Text: DOI arXiv OpenURL
Ichimura, Humio; Sumida-Takahashi, Hiroki Normal integral basis of an unramified quadratic extension over a cyclotomic \(\mathbb{Z}_2\)-extension. (English. French summary) Zbl 1358.11120 J. Théor. Nombres Bordx. 28, No. 2, 325-345 (2016). Reviewer: Henri Johnston (Exeter) MSC: 11R20 11R23 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{H. Sumida-Takahashi}, J. Théor. Nombres Bordx. 28, No. 2, 325--345 (2016; Zbl 1358.11120) Full Text: DOI OpenURL
Shult, Ernest; Surowski, David Algebra. A teaching and source book. (English) Zbl 1346.00003 Cham: Springer (ISBN 978-3-319-19733-3/pbk; 978-3-319-19734-0/ebook). xxii, 539 p. (2015). Reviewer: Mihai Cipu (Bucureşti) MSC: 00A05 12-01 13-01 20-01 PDF BibTeX XML Cite \textit{E. Shult} and \textit{D. Surowski}, Algebra. A teaching and source book. Cham: Springer (2015; Zbl 1346.00003) Full Text: DOI OpenURL
Kostra, Juraj; Bárta, Čestmir Note on \(G\)-module structure of orders. (English) Zbl 1349.11137 Math. Slovaca 65, No. 1, 45-52 (2015). Reviewer: Viktor Dubovský (Ostrava) MSC: 11R33 PDF BibTeX XML Cite \textit{J. Kostra} and \textit{Č. Bárta}, Math. Slovaca 65, No. 1, 45--52 (2015; Zbl 1349.11137) Full Text: DOI OpenURL
Pickett, Erik Jarl; Vinatier, Stéphane Self-dual integral normal bases and Galois module structure. (English) Zbl 1292.11128 Compos. Math. 149, No. 7, 1175-1202 (2013). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R33 11R04 11R20 PDF BibTeX XML Cite \textit{E. J. Pickett} and \textit{S. Vinatier}, Compos. Math. 149, No. 7, 1175--1202 (2013; Zbl 1292.11128) Full Text: DOI arXiv OpenURL
Divišová-Václavíková, Zuzana Properties of transformation matrices between the normal bases in orders of cubic field. (English) Zbl 1313.11127 Math. Slovaca 63, No. 1, 63-68 (2013). Reviewer: Marek Pomp (Ostrava) MSC: 11R33 11C20 PDF BibTeX XML Cite \textit{Z. Divišová-Václavíková}, Math. Slovaca 63, No. 1, 63--68 (2013; Zbl 1313.11127) Full Text: DOI OpenURL
Ichimura, Humio Unramified cyclic extension of degree \(p^2\) with a normal integral basis. (English) Zbl 1284.11144 Comment. Math. Univ. St. Pauli 61, No. 1, 43-50 (2012). Reviewer: Maneesh Thakur (New Delhi) MSC: 11R18 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, Comment. Math. Univ. St. Pauli 61, No. 1, 43--50 (2012; Zbl 1284.11144) OpenURL
Greither, Cornelius; Johnston, Henri Non-existence and splitting theorems for normal integral bases. (English. French summary) Zbl 1257.11100 Ann. Inst. Fourier 62, No. 1, 417-437 (2012). Reviewer: Bernhard Köck (Southampton) MSC: 11R33 11R18 11R20 PDF BibTeX XML Cite \textit{C. Greither} and \textit{H. Johnston}, Ann. Inst. Fourier 62, No. 1, 417--437 (2012; Zbl 1257.11100) Full Text: DOI arXiv Link OpenURL
Ichimura, Humio Hilbert-Speiser number fields and Stickelberger ideals; the case \(p=2\). (English) Zbl 1242.11088 Math. J. Okayama Univ. 54, 33-48 (2012). Reviewer: Henri Johnston (Cambridge) MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{H. Ichimura}, Math. J. Okayama Univ. 54, 33--48 (2012; Zbl 1242.11088) OpenURL
Gazor, Majid; Yu, Pei Spectral sequences and parametric normal forms. (English) Zbl 1242.34065 J. Differ. Equations 252, No. 2, 1003-1031 (2012). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C20 34C05 34C23 PDF BibTeX XML Cite \textit{M. Gazor} and \textit{P. Yu}, J. Differ. Equations 252, No. 2, 1003--1031 (2012; Zbl 1242.34065) Full Text: DOI arXiv OpenURL
Truman, Paul J. Towards a generalisation of Noether’s theorem to nonclassical Hopf-Galois structures. (English) Zbl 1250.11098 New York J. Math. 17, 799-810 (2011). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 14L30 PDF BibTeX XML Cite \textit{P. J. Truman}, New York J. Math. 17, 799--810 (2011; Zbl 1250.11098) Full Text: arXiv EMIS OpenURL
Wang, Yingzi Normal integral basis of cyclotomic field \(\mathbb Q(\zeta_{15})\). (English) Zbl 1255.11051 J. Nat. Sci., Nanjing Norm. Univ. 12, No. 2, 8-10 (2010). Reviewer: Chun-Gang Ji (Nanjing) MSC: 11R18 PDF BibTeX XML Cite \textit{Y. Wang}, J. Nat. Sci., Nanjing Norm. Univ. 12, No. 2, 8--10 (2010; Zbl 1255.11051) OpenURL
Acciaro, Vincenzo; Cangelmi, Leonardo A simple algorithm to find normal integral bases of abelian number fields of exponent \(2, 3, 4\) or \(6\). (English) Zbl 1237.11043 JP J. Algebra Number Theory Appl. 18, No. 1, 49-65 (2010). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R20 11R33 11Y40 PDF BibTeX XML Cite \textit{V. Acciaro} and \textit{L. Cangelmi}, JP J. Algebra Number Theory Appl. 18, No. 1, 49--65 (2010; Zbl 1237.11043) Full Text: Link OpenURL
Pickett, Erik Jarl Construction of self-dual integral normal bases in abelian extensions of finite and local fields. (English) Zbl 1239.11140 Int. J. Number Theory 6, No. 7, 1565-1588 (2010). Reviewer: Scott Corry (Appleton) MSC: 11T30 11S20 11S23 11S31 11R33 12F10 20C10 PDF BibTeX XML Cite \textit{E. J. Pickett}, Int. J. Number Theory 6, No. 7, 1565--1588 (2010; Zbl 1239.11140) Full Text: DOI arXiv OpenURL
Ichimura, Humio On the integer ring of a Kummer extension generated by a power root of a rational number. (English) Zbl 1323.11092 Yokohama Math. J. 55, No. 2, 165-170 (2010). MSC: 11R33 11R04 PDF BibTeX XML Cite \textit{H. Ichimura}, Yokohama Math. J. 55, No. 2, 165--170 (2010; Zbl 1323.11092) Full Text: Link OpenURL
Ichimura, Humio Hilbert-Speiser number fields and the complex conjugation. (English) Zbl 1247.11142 J. Math. Soc. Japan 62, No. 1, 83-94 (2010). Reviewer: Henri Johnston (Cambridge) MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Math. Soc. Japan 62, No. 1, 83--94 (2010; Zbl 1247.11142) Full Text: DOI OpenURL
Del Corso, Ilaria; Rossi, Lorenzo Paolo Normal integral bases for cyclic Kummer extensions. (English) Zbl 1203.11074 J. Pure Appl. Algebra 214, No. 4, 385-391 (2010). Reviewer: Henri Johnston (Cambridge) MSC: 11R33 PDF BibTeX XML Cite \textit{I. Del Corso} and \textit{L. P. Rossi}, J. Pure Appl. Algebra 214, No. 4, 385--391 (2010; Zbl 1203.11074) Full Text: DOI OpenURL
Ichimura, Humio Hilbert-Speiser number fields and Stickelberger ideals. (English) Zbl 1205.11119 J. Théor. Nombres Bordx. 21, No. 3, 589-607 (2009). Reviewer: Henri Johnston (Cambridge) MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Théor. Nombres Bordx. 21, No. 3, 589--607 (2009; Zbl 1205.11119) Full Text: DOI Numdam Numdam EuDML OpenURL
Fang, Lingling; Ji, Chungang On normal integral basis of biquadratic number fields \(\mathbb Q (\sqrt{m}, \sqrt n)\). (Chinese. English summary) Zbl 1212.11088 J. Nanjing Norm. Univ., Nat. Sci. Ed. 32, No. 3, 6-11 (2009). MSC: 11R04 11R16 PDF BibTeX XML Cite \textit{L. Fang} and \textit{C. Ji}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 32, No. 3, 6--11 (2009; Zbl 1212.11088) OpenURL
Greither, Cornelius; Johnston, Henri On totally real Hilbert–Speiser fields of type \(C_p\). (English) Zbl 1247.11141 Acta Arith. 138, No. 4, 329-336 (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R33 PDF BibTeX XML Cite \textit{C. Greither} and \textit{H. Johnston}, Acta Arith. 138, No. 4, 329--336 (2009; Zbl 1247.11141) Full Text: DOI arXiv OpenURL
Ichimura, Humio; Sumida-Takahashi, Hiroki On Hilbert–Speiser type imaginary quadratic fields. (English) Zbl 1168.11047 Acta Arith. 136, No. 4, 385-389 (2009). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R11 11R18 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{H. Sumida-Takahashi}, Acta Arith. 136, No. 4, 385--389 (2009; Zbl 1168.11047) Full Text: DOI OpenURL
Spearman, B. K.; Williams, K. S. A normal relative integral basis for the normal closure of a pure cubic field over \(\mathbb Q(\sqrt{-3})\). (English) Zbl 1196.11152 Int. J. Contemp. Math. Sci. 3, No. 29-32, 1427-1432 (2008). Reviewer: István Gaál (Debrecen) MSC: 11R33 11R16 PDF BibTeX XML Cite \textit{B. K. Spearman} and \textit{K. S. Williams}, Int. J. Contemp. Math. Sci. 3, No. 29--32, 1427--1432 (2008; Zbl 1196.11152) Full Text: Link OpenURL
Ichimura, Humio Hilbert-Speiser number fields for a prime \(p\) inside the \(p\)-cyclotomic field. (English) Zbl 1167.11042 J. Number Theory 128, No. 4, 858-864 (2008). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R33 11R18 11R23 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Number Theory 128, No. 4, 858--864 (2008; Zbl 1167.11042) Full Text: DOI OpenURL
Dubovský, Viktor; Kostra, Juraj On normal bases of ideals in extension of degree \(2l\). (English) Zbl 1241.11129 JP J. Algebra Number Theory Appl. 10, No. 2, 203-236 (2008). MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{V. Dubovský} and \textit{J. Kostra}, JP J. Algebra Number Theory Appl. 10, No. 2, 203--236 (2008; Zbl 1241.11129) Full Text: Link OpenURL
Dubovský, Viktor; Kostra, Juraj; Lazar, Vladimír A note on normal bases of ideals in sextic algebraic number field. (English) Zbl 1174.11091 Math. Slovaca 58, No. 2, 165-172 (2008). Reviewer: Stanislav Jakubec (Bratislava) MSC: 11R33 11R21 PDF BibTeX XML Cite \textit{V. Dubovský} et al., Math. Slovaca 58, No. 2, 165--172 (2008; Zbl 1174.11091) Full Text: DOI OpenURL
Eloff, Daniel; Spearman, Blair K.; Williams, Kenneth S. A number field with infinitely many normal integral bases. (English) Zbl 1172.11033 Fibonacci Q. 45, No. 2, 151-154 (2007). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R33 PDF BibTeX XML Cite \textit{D. Eloff} et al., Fibonacci Q. 45, No. 2, 151--154 (2007; Zbl 1172.11033) OpenURL
Spearman, Blair K.; Williams, Kenneth S. Cyclic quartic fields with a unique normal integral basis. (English) Zbl 1172.11038 Far East J. Math. Sci. (FJMS) 21, No. 2, 235-240 (2006). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 11R29 PDF BibTeX XML Cite \textit{B. K. Spearman} and \textit{K. S. Williams}, Far East J. Math. Sci. (FJMS) 21, No. 2, 235--240 (2006; Zbl 1172.11038) OpenURL
Liu, Li Existence of the normal integral basis of the quartic field. (Chinese. English summary) Zbl 1210.11114 J. Hefei Univ. Technol., Nat. Sci. 29, No. 4, 506-508 (2006). MSC: 11R16 11R04 PDF BibTeX XML Cite \textit{L. Liu}, J. Hefei Univ. Technol., Nat. Sci. 29, No. 4, 506--508 (2006; Zbl 1210.11114) OpenURL
Ichimura, Humio; Sumida-Takahashi, Hiroki Stickelberger ideals of conductor \(p\) and their application. (English) Zbl 1102.11059 J. Math. Soc. Japan 58, No. 3, 885-902 (2006). Reviewer: Maneesh Thakur (Bangalore) MSC: 11R18 11R33 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{H. Sumida-Takahashi}, J. Math. Soc. Japan 58, No. 3, 885--902 (2006; Zbl 1102.11059) Full Text: DOI Euclid OpenURL
Kohl, Timothy; Replogle, Daniel R. Cyclotomic Swan subgroups and primitive roots. (English) Zbl 1147.11064 Finite Fields Appl. 11, No. 4, 655-666 (2005). MSC: 11R33 11R27 20G05 PDF BibTeX XML Cite \textit{T. Kohl} and \textit{D. R. Replogle}, Finite Fields Appl. 11, No. 4, 655--666 (2005; Zbl 1147.11064) Full Text: DOI arXiv OpenURL
Herreng, Thomas On Hilbert-Speiser fields. (Sur les corps de Hilbert-Speiser.) (French) Zbl 1161.11398 J. Théor. Nombres Bordx. 17, No. 3, 767-778 (2005). MSC: 11R33 PDF BibTeX XML Cite \textit{T. Herreng}, J. Théor. Nombres Bordx. 17, No. 3, 767--778 (2005; Zbl 1161.11398) Full Text: DOI Numdam EuDML OpenURL
Spearman, Blair K.; Williams, Kenneth S. Normal integral bases for Emma Lehmer’s parametric family of cyclic quintics. (English) Zbl 1158.11343 J. Théor. Nombres Bordx. 16, No. 1, 215-220 (2004). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R20 PDF BibTeX XML Cite \textit{B. K. Spearman} and \textit{K. S. Williams}, J. Théor. Nombres Bordx. 16, No. 1, 215--220 (2004; Zbl 1158.11343) Full Text: DOI Numdam Numdam EuDML OpenURL
Ichimura, Humio On a theorem of Kawamoto on normal bases of rings of integers. (English) Zbl 1059.11061 Tokyo J. Math. 27, No. 2, 527-540 (2004). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11R04 PDF BibTeX XML Cite \textit{H. Ichimura}, Tokyo J. Math. 27, No. 2, 527--540 (2004; Zbl 1059.11061) Full Text: DOI OpenURL
Ichimura, Humio On a theorem of Childs on normal bases of rings of integers: Addendum. (English) Zbl 1083.11070 J. Lond. Math. Soc., II. Ser. 69, No. 2, 303-305 (2004). Reviewer: Lindsay N. Childs (Albany) MSC: 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Lond. Math. Soc., II. Ser. 69, No. 2, 303--305 (2004; Zbl 1083.11070) Full Text: DOI OpenURL
Ichimura, Humio On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\). (English) Zbl 1137.11349 Finite Fields Appl. 10, No. 3, 432-437 (2004). MSC: 11R58 PDF BibTeX XML Cite \textit{H. Ichimura}, Finite Fields Appl. 10, No. 3, 432--437 (2004; Zbl 1137.11349) Full Text: DOI OpenURL
Ichimura, Humio On the ring of integers of a tame Kummer extension over a number field. (English) Zbl 1042.11074 J. Pure Appl. Algebra 187, No. 1-3, 169-182 (2004). Reviewer: Franz Lemmermeyer (Bilkent) MSC: 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Pure Appl. Algebra 187, No. 1--3, 169--182 (2004; Zbl 1042.11074) Full Text: DOI OpenURL
Ichimura, Humio; Kawamoto, Fuminori Normal integral basis and ray class group modulo 4. (English) Zbl 1059.11067 Proc. Japan Acad., Ser. A 79, No. 9, 139-141 (2003). Reviewer: Richard Massy (Valenciennes) MSC: 11R33 11R29 11R21 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{F. Kawamoto}, Proc. Japan Acad., Ser. A 79, No. 9, 139--141 (2003; Zbl 1059.11067) Full Text: DOI OpenURL
Ichimura, Humio Note on the ring of integers of a Kummer extension of prime degree. I. (English) Zbl 1058.11063 Comment. Math. Univ. St. Pauli 52, No. 1, 59-67 (2003). Reviewer: Lindsay N. Childs (Albany) MSC: 11R33 11R20 PDF BibTeX XML Cite \textit{H. Ichimura}, Comment. Math. Univ. St. Pauli 52, No. 1, 59--67 (2003; Zbl 1058.11063) OpenURL
Divišová, Z.; Kostra, J.; Pomp, M. On transformation matrix connected to normal bases in orders. (English) Zbl 1055.11020 JP J. Algebra Number Theory Appl. 3, No. 1, 43-52 (2003). Reviewer: Veikko Ennola (Turku) MSC: 11R20 11R33 11C20 PDF BibTeX XML Cite \textit{Z. Divišová} et al., JP J. Algebra Number Theory Appl. 3, No. 1, 43--52 (2003; Zbl 1055.11020) OpenURL
Ichimura, Humio On a theorem of Childs on normal bases of rings of integers. (English) Zbl 1048.11087 J. Lond. Math. Soc., II. Ser. 68, No. 1, 25-36 (2003). Reviewer: Lindsay N. Childs (Albany) MSC: 11R33 11R20 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Lond. Math. Soc., II. Ser. 68, No. 1, 25--36 (2003; Zbl 1048.11087) Full Text: DOI OpenURL
Ichimura, Humio; Kawamoto, Fuminori An infinite family of totally real number fields. (English) Zbl 1055.11070 Acta Arith. 106, No. 2, 171-181 (2003). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R33 11R80 11R27 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{F. Kawamoto}, Acta Arith. 106, No. 2, 171--181 (2003; Zbl 1055.11070) Full Text: DOI OpenURL
Conrad, Marc; Replogle, Daniel R. Nontrivial Galois module structure of cyclotomic fields. (English) Zbl 1020.11070 Math. Comput. 72, No. 242, 891-899 (2003). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R27 11R29 11R18 PDF BibTeX XML Cite \textit{M. Conrad} and \textit{D. R. Replogle}, Math. Comput. 72, No. 242, 891--899 (2003; Zbl 1020.11070) Full Text: DOI arXiv OpenURL
Cougnard, Jean; Queyrut, Jacques Construction of normal bases for absolute Galois extensions with quaternionic Galois group of order 12. (Construction de bases normales pour les extensions galoisiennes absolues à groupe de Galois quaternionien d’ordre 12.) (French) Zbl 1069.11046 J. Théor. Nombres Bordx. 14, No. 1, 87-102 (2002). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R33 11R32 12F10 PDF BibTeX XML Cite \textit{J. Cougnard} and \textit{J. Queyrut}, J. Théor. Nombres Bordx. 14, No. 1, 87--102 (2002; Zbl 1069.11046) Full Text: DOI Numdam EuDML OpenURL
Lundström, Patrik Self-dual normal integral bases for infinite unramified extensions. (English) Zbl 1067.11074 J. Number Theory 97, No. 2, 350-367 (2002). Reviewer: Toma Albu (Bucuresti) MSC: 11S20 PDF BibTeX XML Cite \textit{P. Lundström}, J. Number Theory 97, No. 2, 350--367 (2002; Zbl 1067.11074) Full Text: DOI OpenURL
Ichimura, Humio On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II. (English) Zbl 1039.11072 J. Number Theory 96, No. 1, 105-132 (2002). Reviewer: Radan Kučera (Brno) MSC: 11R33 11R18 11R23 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Number Theory 96, No. 1, 105--132 (2002; Zbl 1039.11072) Full Text: DOI OpenURL
Ichimura, Humio Note on the ring of integers of a Kummer extension of prime degree. III. (English) Zbl 0989.11063 Proc. Japan Acad., Ser. A 77, No. 5, 71-73 (2001). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R33 11R23 PDF BibTeX XML Cite \textit{H. Ichimura}, Proc. Japan Acad., Ser. A 77, No. 5, 71--73 (2001; Zbl 0989.11063) Full Text: DOI OpenURL
Ichimura, Humio Note on the ring of integers of a Kummer extension of prime degree. IV. (English) Zbl 0998.11065 Proc. Japan Acad., Ser. A 77, No. 6, 92-94 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, Proc. Japan Acad., Ser. A 77, No. 6, 92--94 (2001; Zbl 0998.11065) Full Text: DOI OpenURL
Ichimura, Humio Note on the ring of integers of a Kummer extension of prime degree. II. (English) Zbl 0989.11062 Proc. Japan Acad., Ser. A 77, No. 2, 25-28 (2001). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{H. Ichimura}, Proc. Japan Acad., Ser. A 77, No. 2, 25--28 (2001; Zbl 0989.11062) Full Text: DOI OpenURL
Ichimura, Humio; Sumida, Hiroki A note on integral bases of unramified cyclic extensions of prime degree. II. (English) Zbl 0991.11058 Manuscr. Math. 104, No. 2, 201-210 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R23 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{H. Sumida}, Manuscr. Math. 104, No. 2, 201--210 (2001; Zbl 0991.11058) Full Text: DOI OpenURL
Kawamoto, Fuminori On quadratic subextensions of ray class fields of quadratic fields mod \({\mathfrak p}\). (English) Zbl 0997.11097 J. Number Theory 86, No. 1, 1-38 (2001). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 PDF BibTeX XML Cite \textit{F. Kawamoto}, J. Number Theory 86, No. 1, 1--38 (2001; Zbl 0997.11097) Full Text: DOI OpenURL
Ichimura, Humio A note on integral bases of unramified cyclic extensions of prime degree. (English) Zbl 1018.11055 Abh. Math. Semin. Univ. Hamb. 70, 275-279 (2000). Reviewer: Lindsay N.Childs (Albany) MSC: 11R33 11R11 PDF BibTeX XML Cite \textit{H. Ichimura}, Abh. Math. Semin. Univ. Hamb. 70, 275--279 (2000; Zbl 1018.11055) Full Text: DOI OpenURL
Ichimura, Humio A note on unramified quadratic extensions over algebraic number fields. (English) Zbl 0958.11068 Proc. Japan Acad., Ser. A 76, No. 5, 78-81 (2000). Reviewer: Franz Lemmermeyer (San Marcos) MSC: 11R11 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, Proc. Japan Acad., Ser. A 76, No. 5, 78--81 (2000; Zbl 0958.11068) Full Text: DOI OpenURL
Dvořák, Antonín; Jedelský, David; Kostra, Juraj The fields of degree seven over rationals with a normal basis generated by a unit. (English) Zbl 0956.11026 Math. Slovaca 49, No. 2, 143-153 (1999). Reviewer: Stanislav Jakubec (Bratislava) MSC: 11R33 PDF BibTeX XML Cite \textit{A. Dvořák} et al., Math. Slovaca 49, No. 2, 143--153 (1999; Zbl 0956.11026) OpenURL
Bley, W.; Klebel, M. An infinite family of elliptic curves and Galois module structure. (English) Zbl 0979.11032 Pac. J. Math. 185, No. 2, 221-235 (1998). Reviewer: Cornelius Greither (Neubiberg) MSC: 11G05 11R33 11R11 PDF BibTeX XML Cite \textit{W. Bley} and \textit{M. Klebel}, Pac. J. Math. 185, No. 2, 221--235 (1998; Zbl 0979.11032) Full Text: DOI OpenURL
Ji, Chungang On normal integral bases. (English) Zbl 0922.11088 Northeast. Math. J. 14, No. 1, 105-111 (1998). Reviewer: Zhang Xianke (Beijing) MSC: 11R20 11R11 PDF BibTeX XML Cite \textit{C. Ji}, Northeast. Math. J. 14, No. 1, 105--111 (1998; Zbl 0922.11088) OpenURL
Lettl, Günter Relative Galois module structure of integers of local abelian fields. (English) Zbl 0910.11050 Acta Arith. 85, No. 3, 235-248 (1998). Reviewer: Cornelius Greither (Laval) MSC: 11S23 11S15 PDF BibTeX XML Cite \textit{G. Lettl}, Acta Arith. 85, No. 3, 235--248 (1998; Zbl 0910.11050) Full Text: DOI EuDML OpenURL
Jakubec, Stanislav; Kostra, Jurai On the existence of a normal basis for an ambiguous ideal. (English) Zbl 0912.11044 Atti Semin. Mat. Fis. Univ. Modena 46, No. 1, 125-129 (1998). Reviewer: V.Ennola (Turku) MSC: 11R33 11R20 11R18 PDF BibTeX XML Cite \textit{S. Jakubec} and \textit{J. Kostra}, Atti Semin. Mat. Fis. Univ. Modena 46, No. 1, 125--129 (1998; Zbl 0912.11044) OpenURL
Itoh, Tsuyoshi A construction of normal bases over the Hilbert \(p\)-class field of imaginary quadratic fields. (English) Zbl 0934.11054 Proc. Japan Acad., Ser. A 74, No. 1, 25-28 (1998). Reviewer: Florence Soriano (Metz) MSC: 11R37 11R33 PDF BibTeX XML Cite \textit{T. Itoh}, Proc. Japan Acad., Ser. A 74, No. 1, 25--28 (1998; Zbl 0934.11054) Full Text: DOI OpenURL
De Negri, Emanuela Pfaffian ideals of ladders. (English) Zbl 0899.13014 J. Pure Appl. Algebra 125, No. 1-3, 141-153 (1998). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 13C40 13P10 13H10 13C14 13G05 PDF BibTeX XML Cite \textit{E. De Negri}, J. Pure Appl. Algebra 125, No. 1--3, 141--153 (1998; Zbl 0899.13014) Full Text: DOI OpenURL
Ji, Chungang On normal integral bases in abelian number fields of type of \((2,2,\cdots 2)\). (Chinese. English summary) Zbl 0922.11087 J. Nanjing Norm. Univ., Nat. Sci. Ed. 20, No. 1, 1-5 (1997). Reviewer: Zhang Xianke (Beijing) MSC: 11R20 PDF BibTeX XML Cite \textit{C. Ji}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 20, No. 1, 1--5 (1997; Zbl 0922.11087) OpenURL
Srivastav, A.; Venkataraman, S. Unramified quadratic extensions of real quadratic fields, normal integral bases, and 2-adic \(L\)-functions. (English) Zbl 0891.11052 J. Number Theory 67, No. 2, 139-145 (1997). Reviewer: F.Lemmermeyer (Saarbrücken) MSC: 11R11 11R33 PDF BibTeX XML Cite \textit{A. Srivastav} and \textit{S. Venkataraman}, J. Number Theory 67, No. 2, 139--145 (1997; Zbl 0891.11052) Full Text: DOI OpenURL
Greither, Cornelius On normal integral bases in ray class fields over imaginary quadratic fields. (English) Zbl 0866.11064 Acta Arith. 78, No. 4, 315-329 (1997). Reviewer: C.Greither (Sainte-Foy / PQ) MSC: 11R33 11R37 11R29 11Y40 PDF BibTeX XML Cite \textit{C. Greither}, Acta Arith. 78, No. 4, 315--329 (1997; Zbl 0866.11064) Full Text: DOI EuDML OpenURL
Spearman, Blair K.; Williams, Kenneth S. Normal relative integral bases for quartic fields over quadratic subfields. (English) Zbl 0864.11051 Kodai Math. J. 19, No. 3, 293-307 (1996). Reviewer: R.Mollin (Calgary) MSC: 11R16 11R04 PDF BibTeX XML Cite \textit{B. K. Spearman} and \textit{K. S. Williams}, Kodai Math. J. 19, No. 3, 293--307 (1996; Zbl 0864.11051) Full Text: DOI Link OpenURL
Gómez Ayala, E. J. Normal bases for quadratic extensions inside cyclotomic fields. (English) Zbl 0867.11082 Arch. Math. 66, No. 2, 123-125 (1996). Reviewer: L.N.Childs (Albany) MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{E. J. Gómez Ayala}, Arch. Math. 66, No. 2, 123--125 (1996; Zbl 0867.11082) Full Text: DOI OpenURL
Ichimura, Humio On a normal integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions. (English) Zbl 0892.11036 J. Math. Soc. Japan 48, No. 4, 689-703 (1996). Reviewer: R.Gillard (Saint-Martin-d’Heres) MSC: 11R23 11R18 11R33 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Math. Soc. Japan 48, No. 4, 689--703 (1996; Zbl 0892.11036) Full Text: DOI OpenURL
Gómez Ayala, E. J. Galois structure and ray class fields of conductor 2. (Structure galoisienne et corps de classes de rayon de conducteur 2.) (French) Zbl 0857.11060 Acta Arith. 72, No. 4, 375-383 (1995). Reviewer: L.N.Childs (Albany) MSC: 11R33 11R37 PDF BibTeX XML Cite \textit{E. J. Gómez Ayala}, Acta Arith. 72, No. 4, 375--383 (1995; Zbl 0857.11060) Full Text: DOI EuDML OpenURL
Möller, H. Michael; Stetter, Hans J. Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems. (English) Zbl 0851.65029 Numer. Math. 70, No. 3, 311-329 (1995). Reviewer: W.Zulehner (Linz) MSC: 65H10 12Y05 26C10 13P10 12D10 30C15 65H17 PDF BibTeX XML Cite \textit{H. M. Möller} and \textit{H. J. Stetter}, Numer. Math. 70, No. 3, 311--329 (1995; Zbl 0851.65029) Full Text: DOI OpenURL
Ichimura, Humio On \(p\)-adic \(L\)-functions and normal bases of rings of integers. (English) Zbl 0815.11055 J. Reine Angew. Math. 462, 169-184 (1995). Reviewer: H.Ichimura (Yokohama) MSC: 11R33 11R23 11R42 11R18 PDF BibTeX XML Cite \textit{H. Ichimura}, J. Reine Angew. Math. 462, 169--184 (1995; Zbl 0815.11055) Full Text: DOI Crelle EuDML OpenURL
Komatsu, Keiichi Modular construction of normal basis. (English) Zbl 0823.11068 J. Math. Soc. Japan 46, No. 2, 235-243 (1994). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R37 11R33 11F03 PDF BibTeX XML Cite \textit{K. Komatsu}, J. Math. Soc. Japan 46, No. 2, 235--243 (1994; Zbl 0823.11068) Full Text: DOI OpenURL
Gómez Ayala, E. J. Normal integral bases in Kummer extensions of prime degree. (Bases normales d’entiers dans les extensions de Kummer de degré premier.) (French) Zbl 0822.11076 J. Théor. Nombres Bordx. 6, No. 1, 95-116 (1994). Reviewer: L.N.Childs (Albany) MSC: 11R33 11R18 PDF BibTeX XML Cite \textit{E. J. Gómez Ayala}, J. Théor. Nombres Bordx. 6, No. 1, 95--116 (1994; Zbl 0822.11076) Full Text: DOI Numdam EuDML EMIS OpenURL
Gómez Ayala, E. J. Normal bases for rings of integers and modular units. (Bases normales d’entiers et unités modulaires.) (French) Zbl 0806.11051 Manuscr. Math. 83, No. 2, 199-213 (1994). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R27 11G16 11R11 PDF BibTeX XML Cite \textit{E. J. Gómez Ayala}, Manuscr. Math. 83, No. 2, 199--213 (1994; Zbl 0806.11051) Full Text: DOI EuDML OpenURL
Kawamoto, Fuminori; Komatsu, Keiichi Normal bases and \(\mathbb{Z}_ p\)-extensions. (English) Zbl 0810.11064 J. Algebra 163, No. 2, 335-347 (1994). Reviewer: L.N.Childs (Albany) MSC: 11R18 11R33 PDF BibTeX XML Cite \textit{F. Kawamoto} and \textit{K. Komatsu}, J. Algebra 163, No. 2, 335--347 (1994; Zbl 0810.11064) Full Text: DOI OpenURL
Fainsilber, L. Hermitian forms on algebras over local rings. (Formes hermitiennes sur des algèbres sur des anneaux locaux.) (French) Zbl 0880.11036 Publ. Math. Fac. Sci. Besançon, Théor. Nombres Années 1992-93 - 1993-94, Exp. No. 1, 8 p. (1994). Reviewer: H.G.Quebbemann (Oldenburg) MSC: 11E08 11E39 PDF BibTeX XML Cite \textit{L. Fainsilber}, Publ. Math. Fac. Sci. Besançon, Théor. Nombres, Exp. No. 1, 8\,p. (1994; Zbl 0880.11036) OpenURL
Ichimura, Humio On a relative normal integral basis problem over abelian number fields. (English) Zbl 0806.11050 Proc. Japan Acad., Ser. A 69, No. 10, 413-416 (1993). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R20 PDF BibTeX XML Cite \textit{H. Ichimura}, Proc. Japan Acad., Ser. A 69, No. 10, 413--416 (1993; Zbl 0806.11050) Full Text: DOI OpenURL
Gómez Ayala, Eugenio Jesús; Schertz, Reinhard A remark about the Galois module structure in ray class fields over imaginary quadratic number fields. (Eine Bemerkung zur Galoismodulstruktur in Strahlklassenkörpern über imaginär-quadratischen Zahlkörpern.) (German) Zbl 0777.11046 J. Number Theory 44, No. 1, 41-46 (1993). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R37 PDF BibTeX XML Cite \textit{E. J. Gómez Ayala} and \textit{R. Schertz}, J. Number Theory 44, No. 1, 41--46 (1993; Zbl 0777.11046) Full Text: DOI OpenURL
Hymo, John A.; Parry, Charles J. Steinitz classes of order 2 in quadratic and quartic fields. (English) Zbl 0758.11044 J. Number Theory 41, No. 2, 218-224 (1992). Reviewer: L.N.Childs (Albany) MSC: 11R20 11R29 11R11 11R16 PDF BibTeX XML Cite \textit{J. A. Hymo} and \textit{C. J. Parry}, J. Number Theory 41, No. 2, 218--224 (1992; Zbl 0758.11044) Full Text: DOI OpenURL
Jakubec, Stanislav; Kostra, Juraj A note on normal bases of ideals. (English) Zbl 0773.11070 Math. Slovaca 42, No. 5, 677-684 (1992). Reviewer: L.N.Childs (Albany) MSC: 11R33 PDF BibTeX XML Cite \textit{S. Jakubec} and \textit{J. Kostra}, Math. Slovaca 42, No. 5, 677--684 (1992; Zbl 0773.11070) Full Text: EuDML OpenURL
Massy, R. Sur les bases normales d’entiers relatives. (On normal relative integral bases). (French) Zbl 0758.11046 Journées arithmétiques, Exp. Congr., Luminy/Fr. 1989, Astérisque 198-200, 231-236 (1991). Reviewer: J.-F.Jaulent (Bordeaux) MSC: 11R33 PDF BibTeX XML Cite \textit{R. Massy}, Astérisque 198--200, 231--236 (1991; Zbl 0758.11046) OpenURL
Chapman, R. J. Carlitz modules and normal integral bases. (English) Zbl 0749.11049 J. Lond. Math. Soc., II. Ser. 44, No. 2, 250-260 (1991). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R58 PDF BibTeX XML Cite \textit{R. J. Chapman}, J. Lond. Math. Soc., II. Ser. 44, No. 2, 250--260 (1991; Zbl 0749.11049) Full Text: DOI OpenURL
Massy, Richard Bases normales d’entiers relatives quadratiques. (Normal relative quadratic integral bases). (French) Zbl 0729.11057 J. Number Theory 38, No. 2, 216-239 (1991). Reviewer: G.Molenberghs (Antwerpen) MSC: 11R33 PDF BibTeX XML Cite \textit{R. Massy}, J. Number Theory 38, No. 2, 216--239 (1991; Zbl 0729.11057) Full Text: DOI OpenURL
Romanovskij, V. G. On properties of an ideal generated by Lyapunov quantities. (Russian) Zbl 0724.34042 Differ. Uravn. 27, No. 2, 207-219 (1991). Reviewer: J.Andres (Olomouc) MSC: 34C20 34C05 13D10 PDF BibTeX XML Cite \textit{V. G. Romanovskij}, Differ. Uravn. 27, No. 2, 207--219 (1991; Zbl 0724.34042) OpenURL
Jakubec, Stanislav; Kostra, Juraj; Nemoga, Karol On the existence of an integral normal basis generated by a unit in prime extensions of rational numbers. (English) Zbl 0722.11056 Math. Comput. 56, No. 194, 809-815 (1991). Reviewer: G.Molenberghs (Antwerpen) MSC: 11R33 11Y40 PDF BibTeX XML Cite \textit{S. Jakubec} et al., Math. Comput. 56, No. 194, 809--815 (1991; Zbl 0722.11056) Full Text: DOI OpenURL
Ono, Takashi A note on Poincaré sums of Galois representations. III. (English) Zbl 0746.11050 Proc. Japan Acad., Ser. A 67, No. 8, 274-277 (1991). MSC: 11R33 11R99 PDF BibTeX XML Cite \textit{T. Ono}, Proc. Japan Acad., Ser. A 67, No. 8, 274--277 (1991; Zbl 0746.11050) Full Text: DOI OpenURL
Ono, Takashi A note on Poincaré sums of Galois representations. II. (English) Zbl 0746.11049 Proc. Japan Acad., Ser. A 67, No. 7, 240-242 (1991). MSC: 11R33 11R99 PDF BibTeX XML Cite \textit{T. Ono}, Proc. Japan Acad., Ser. A 67, No. 7, 240--242 (1991; Zbl 0746.11049) Full Text: DOI OpenURL
Ono, Takashi A note on Poincaré sums of Galois representations. (English) Zbl 0746.11048 Proc. Japan Acad., Ser. A 67, No. 5, 145-147 (1991). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R99 PDF BibTeX XML Cite \textit{T. Ono}, Proc. Japan Acad., Ser. A 67, No. 5, 145--147 (1991; Zbl 0746.11048) Full Text: DOI OpenURL
Massy, Richard Formules de construction de bases normales d’entiers relatives. (Construction formulae for relative normal integral bases). (French. Abridged English version) Zbl 0746.11047 C. R. Acad. Sci., Paris, Sér. I 313, No. 8, 477-482 (1991). Reviewer: J.Brinkhuis (Rotterdam) MSC: 11R33 11R32 PDF BibTeX XML Cite \textit{R. Massy}, C. R. Acad. Sci., Paris, Sér. I 313, No. 8, 477--482 (1991; Zbl 0746.11047) OpenURL
Romanovskij, V. G. Properties of the ideal generated by Lyapunov values. (English. Russian original) Zbl 0745.34031 Differ. Equations 27, No. 2, 141-150 (1991); translation from Differ. Uravn. 27, No. 2, 207-219 (1991). MSC: 34C20 34C05 13D10 PDF BibTeX XML Cite \textit{V. G. Romanovskij}, Differ. Equations 27, No. 2, 141--150 (1991; Zbl 0745.34031); translation from Differ. Uravn. 27, No. 2, 207--219 (1991) OpenURL
Lorenz, F. Normal bases of units. (English) Zbl 0722.11057 Number theory. Vol. II. Diophantine and algebraic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 851-869 (1990). Reviewer: C.Parry (Blacksburg) MSC: 11R33 11R27 PDF BibTeX XML OpenURL
Kostra, Juraj Remark on the minimum discriminant of normal fields. (English) Zbl 0701.11052 Czech. Math. J. 39(114), No. 4, 555-558 (1989). Reviewer: M.Pohst MSC: 11R18 11R29 11R20 PDF BibTeX XML Cite \textit{J. Kostra}, Czech. Math. J. 39(114), No. 4, 555--558 (1989; Zbl 0701.11052) Full Text: EuDML OpenURL
Buchmann, Johannes; Ford, David On the computation of totally real quartic fields of small discriminant. (English) Zbl 0668.12001 Math. Comput. 52, No. 185, 161-174 (1989). Reviewer: Tauno Metsänkylä (Turku) MSC: 11Y40 11R16 11R80 PDF BibTeX XML Cite \textit{J. Buchmann} and \textit{D. Ford}, Math. Comput. 52, No. 185, 161--174 (1989; Zbl 0668.12001) Full Text: DOI OpenURL
Brinkhuis, Jan Modules Galoisiens et sommes de Jacobi. (Galois modules and Jacobi sums). (French) Zbl 0651.12007 Sémin. Théor. Nombres, Univ. Bordeaux I 1986-1987, Exp. No. 9, 8 p. (1987). Reviewer: Jan Van Geel MSC: 11R33 11R52 11S45 11R32 PDF BibTeX XML Full Text: EuDML OpenURL
Childs, Lindsay N. Taming wild extensions with Hopf algebras. (English) Zbl 0632.12013 Trans. Am. Math. Soc. 304, 111-140 (1987). Reviewer: B.Pareigis MSC: 11R33 16W30 13B05 11R18 11S15 14E22 14L15 PDF BibTeX XML Cite \textit{L. N. Childs}, Trans. Am. Math. Soc. 304, 111--140 (1987; Zbl 0632.12013) Full Text: DOI OpenURL
Kostra, Juraj A note on normal and power bases. (English) Zbl 0632.12010 Math. Slovaca 37, 357-362 (1987). Reviewer: R.Massy MSC: 11R04 11R20 11R33 PDF BibTeX XML Cite \textit{J. Kostra}, Math. Slovaca 37, 357--362 (1987; Zbl 0632.12010) Full Text: EuDML OpenURL
McCulloh, Leon R. Galois module structure of abelian extensions. (English) Zbl 0619.12008 J. Reine Angew. Math. 375/376, 259-306 (1987). Reviewer: Lindsay N. Childs MSC: 11R33 11R32 11R18 11S15 11S23 PDF BibTeX XML Cite \textit{L. R. McCulloh}, J. Reine Angew. Math. 375/376, 259--306 (1987; Zbl 0619.12008) Full Text: DOI Crelle EuDML OpenURL
Brinkhuis, Jan Normal integral bases and complex conjugation. (English) Zbl 0609.12009 J. Reine Angew. Math. 375-376, 157-166 (1987). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R33 11R32 16S34 11S15 PDF BibTeX XML Cite \textit{J. Brinkhuis}, J. Reine Angew. Math. 375/376, 157--166 (1987; Zbl 0609.12009) Full Text: DOI Crelle EuDML OpenURL
Kawamoto, Fuminori On normal integral bases of local fields. (English) Zbl 0595.12007 J. Algebra 98, 197-199 (1986). Reviewer: Zhang Xianke MSC: 11S15 11S20 PDF BibTeX XML Cite \textit{F. Kawamoto}, J. Algebra 98, 197--199 (1986; Zbl 0595.12007) Full Text: DOI OpenURL
Ormerod, Neil Chinese remainder theorems and Galois modules. (English) Zbl 0592.12007 J. Aust. Math. Soc., Ser. A 40, 276-286 (1986). Reviewer: C.-G.Schmidt MSC: 11R32 16S34 11R04 11R33 PDF BibTeX XML Cite \textit{N. Ormerod}, J. Aust. Math. Soc., Ser. A 40, 276--286 (1986; Zbl 0592.12007) OpenURL
Everest, G. R. Independence in the distribution of normal integral generators. (English) Zbl 0599.12007 Q. J. Math., Oxf. II. Ser. 36, 405-412 (1985). Reviewer: Jürgen Hinz (Marburg) MSC: 11R32 11R33 11J99 PDF BibTeX XML Cite \textit{G. R. Everest}, Q. J. Math., Oxf. II. Ser. 36, 405--412 (1985; Zbl 0599.12007) Full Text: DOI OpenURL
Kostra, Juraj Orders with a normal basis. (English) Zbl 0596.12013 Czech. Math. J. 35(110), 391-404 (1985). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R20 11R33 11C20 PDF BibTeX XML Cite \textit{J. Kostra}, Czech. Math. J. 35(110), 391--404 (1985; Zbl 0596.12013) Full Text: EuDML OpenURL