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11R18 Cyclotomic extensions (29 articles)

• Ram, Mahesh Kumar: On the class number of the maximal real subfields of a family of cyclotomic fields. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 937-940
• Jerrari, Idriss; Azizi, Abdelmalek: On the structure of the 2-Iwasawa module of some number fields of degree 16. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1145-1156
• Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader: On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 1, pp. 1-14
• Dimabayao, Jerome Tomagan: The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb {Q}$. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 4, pp. 979-995
• Zhao, Zhengjun; Wu, Xia: On the subfields of cyclotomic function fields. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 3, pp. 799-803
• Bugeaud, Yann; Mignotte, Maurice: Catalanova domněnka dokázána. (Czech) [Catalan's conjecture proved]. Pokroky matematiky, fyziky a astronomie, vol. 50 (2005), issue 4, pp. 280-285
• Jakubec, Stanislav: Computational proof of some theorems on class numbers. (English). Mathematica Slovaca, vol. 54 (2004), issue 5, pp. 527-533
• Vavroš, Michal: A note on polynomial cycles. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 145-151
• Jakubec, Stanislav: An elementary proof of the Davenport-Hasse relation. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 175-178
• Jedelský, David; Skula, Ladislav: Some results from the tables of irregularity index of a prime. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 8 (2000), issue 1, pp. 45-50
• Pomp, Marek; Havelek, Radim: On representation of cyclotomic fields $\Bbb Q(\zeta_{pq})$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 7 (1999), issue 1, pp. 71-78
• Jakubec, Stanislav: Note on the congruences $2^{p-1}\equiv 1\pmod {p^2}$, $3^{p-1}\equiv 1\pmod {p^2}$, $5^{p-1}\equiv 1\pmod {p^2}$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 115-120
• Metsänkylä, Tauno: On the parity of the class numbers of real abelian fields. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 159-166
• Agoh, Takashi: Stickelberger subideals related to Kummer type congruences. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 347-364
• Jakubec, Stanislav: Note on the cubic residues. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 5 (1997), issue 1, pp. 61-63
• Agoh, Takashi; Mori, Kenichi: Kummer type system of congruences and bases of Stickelberger subideals. (English). Archivum Mathematicum, vol. 32 (1996), issue 3, pp. 211-232
• Kostra, Juraj: A note on representation of cyclotomic fields. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 4 (1996), issue 1, pp. 29-35
• Jakubec, Stanislav: Criterion for 3 to be eleventh power. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 3 (1995), issue 1, pp. 37-(43)
• Jakubec, Stanislav: On divisibility of $h\sp +$ by the prime $5$. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 651-661
• Jakubec, Stanislav: On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$. (English). Archivum Mathematicum, vol. 30 (1994), issue 4, pp. 263-270
• Skula, Ladislav: Some bases of the Stickelberger ideal. (English). Mathematica Slovaca, vol. 43 (1993), issue 5, pp. 541-571
• Kučera, Radan; Szymiczek, Kazimierz: Witt equivalence of cyclotomic fields. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 663-676
• Cikánek, Petr: Matrices of the Stickelberger ideals mod $L$ for all primes up to 125,000. (English). Archivum Mathematicum, vol. 27 (1991), issue 1, pp. 3-6
• Skula, Ladislav: Special invariant subspaces of a vector space over $\bold Z/l\bold Z$. (English). Archivum Mathematicum, vol. 25 (1989), issue 1, pp. 35-46
• Kučera, Radan: On a certain subideal of the Stickelberger ideal of a cyclotomic field. (English). Archivum Mathematicum, vol. 22 (1986), issue 1, pp. 7-19
• Skula, Ladislav: Systems of equations depending on certain ideals. (English). Archivum Mathematicum, vol. 21 (1985), issue 1, pp. 23-38
• Selucký, Konstantin; Skula, Ladislav: Irregular imaginary fields. (English). Archivum Mathematicum, vol. 17 (1981), issue 2, pp. 95-112
• Kühnová, Jitka: Maillet's determinant $D_{p^{n+1}}$. (English). Archivum Mathematicum, vol. 15 (1979), issue 4, pp. 209-212
• Skula, Ladislav: On certain ideals of the group ring $\bold Z [G]$. (English). Archivum Mathematicum, vol. 15 (1979), issue 1, pp. 53-66