11 Number theory
11Rxx Algebraic number theory: global fields (1 articles)
11R27 Units and factorization (22 articles)
- : The unit group of some fields of the form $\mathbb {Q}(\sqrt {2}, \sqrt {p}, \sqrt {q}, \sqrt {-l})$. (English). Mathematica Bohemica, vol. 149 (2024), issue 1, pp. 49-55
- : On units of some fields of the form $\mathbb {Q}\big (\sqrt 2, \sqrt {p}, \sqrt {q}, \sqrt {-l}\big )$. (English). Mathematica Bohemica, vol. 148 (2023), issue 2, pp. 237-242
- : Note on the Hilbert 2-class field tower. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 513-524
- : 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
- : On the Hilbert $2$-class field tower of some imaginary biquadratic number fields. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 269-281
- : When is the order generated by a cubic, quartic or quintic algebraic unit Galois invariant: three conjectures. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 4, pp. 905-919
- : On the strongly ambiguous classes of some biquadratic number fields. (English). Mathematica Bohemica, vol. 141 (2016), issue 3, pp. 363-384
- : Sur un problème de capitulation du corps $\mathbb {Q}(\sqrt {p_1p_2},\rm i)$ dont le $2$-groupe de classes est élémentaire. (French) [On a capitulation problem over the field $\mathbb {Q}(\sqrt {p_1p_2},\rm i)$ with elementary $2$-class group]. Czechoslovak Mathematical Journal, vol. 64 (2014), issue 1, pp. 11-29
- : Annihilators of the class group of a compositum of quadratic fields. (English). Archivum Mathematicum, vol. 49 (2013), issue 4, pp. 209-222
- : Capitulation dans certaines extensions non ramifiées de corps quartiques cycliques. (French) [Capitulation in certain nonramified extensions of cyclic quartic fields]. Archivum Mathematicum, vol. 44 (2008), issue 4, pp. 271-284
- : Elasticity in certain block monoids via the Euclidean table. (English). Mathematica Slovaca, vol. 57 (2007), issue 5, pp. [415]-454
- : Sur l'existence des corps biquadratiques $K$ dont le groupe de Galois du deuxième $2$-corps de classes de Hilbert par rapport à $K$ est semi-diédral. (French) [Existence of biquadratic fields $K$ for which the Galois group of the second Hilbert 2-class field with respect to $K$ is semidihedral]. Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 253-263
- : On invariants related to non-unique factorizations in block monoids and rings of algebraic integers. (English). Mathematica Slovaca, vol. 55 (2005), issue 1, pp. 21-37
- : On Washington group of circular units of some composita of quadratic fields. (English). Mathematica Slovaca, vol. 55 (2005), issue 1, pp. 39-46
- : Arithmetic of block monoids. (English). Mathematica Slovaca, vol. 54 (2004), issue 5, pp. 503-526
- : A categorical contribution to the Kummer theory of ideal numbers. (English). Mathematica Slovaca, vol. 53 (2003), issue 3, pp. 255-271
- : Class number parity of a compositum of five quadratic fields. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 25-34
- : A generalization of a unit index of Greither. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 149-154
- : Non-unique factorizations in block semigroups and arithmetical applications. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 641-661
- : Relative block semigroups and their arithmetical applications. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 373-381
- : К оценке регулятора алгебраического поля. (Russian) [An estimator for the regulator of an algebraic field]. Mathematica Slovaca, vol. 41 (1991), issue 3, pp. 311-314
- : Unit fractions in fields. (English). Mathematica Slovaca, vol. 35 (1985), issue 1, pp. 23-29
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