Existence of and computation of integral bases

Erich Lamprecht

Acta Mathematica et Informatica Universitatis Ostraviensis (1998)

  • Volume: 06, Issue: 1, page 121-128
  • ISSN: 1804-1388

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Lamprecht, Erich. "Existence of and computation of integral bases." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 121-128. <http://eudml.org/doc/23802>.

@article{Lamprecht1998,
author = {Lamprecht, Erich},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {integral bases; free modules; algebraic function field; Krull domain; polynomial ring},
language = {eng},
number = {1},
pages = {121-128},
publisher = {University of Ostrava},
title = {Existence of and computation of integral bases},
url = {http://eudml.org/doc/23802},
volume = {06},
year = {1998},
}

TY - JOUR
AU - Lamprecht, Erich
TI - Existence of and computation of integral bases
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 121
EP - 128
LA - eng
KW - integral bases; free modules; algebraic function field; Krull domain; polynomial ring
UR - http://eudml.org/doc/23802
ER -

References

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  1. Nicolas Bourbaki, Algebre Commutative, Chapitre 1+2, Herrmann, Paris 1961. (1961) 
  2. Nicolas Bourbaki, Algebre Commutative, Chapitre 7, Herrmann, Paris 1965. (1965) 
  3. Rudi Kraemer, Existenz und Konstruktion von Ganzheitsbasen bei Erweiterungen von Krullringen in algebraischen Funktionenkörpern, Diss. Saarbrücken (1996), 1-138. (1996) 
  4. Erich Lamprecht, Zur Klassifikation von Differentialen in Körpern von Primzahlcharakteristik, Math.Nachr.19, 353-374 (1958). (1958) MR0104654
  5. Erich Lamprecht, Integral bases in Function and Number Fields, Colloq. Math. Soc. Janos Bolyai, Number Theory, Budapest, 795-825 (1987). (1987) MR1058246
  6. Erich Lamprecht, Verzweigungsordnungen, Differenten und Ganzheitsbasen bei Radikalerweiterungen I, II, III, Arch.Math.56, 569-581 (1991); Arch.Math.57, 254-266 (1991); Ann.Univ.Saraviensis 8, No.4, 395-415 (1997). (1991) MR1106499
  7. Erich Lamprecht, Über zyklische Erweiterungen p-ten Grades von Körpern, die die p-ten Einheitswurzeln nicht enthalten, Ann. Univ.Saraviensis 7, No.3, 51-74 (1996). (1996) MR1426676
  8. Hideyuki Matsumura, Commutative ring theory, Cambridge studies in advanced mathematics 8 (1994). (1994) MR0879273
  9. Bernhard Schmal, Diskriminanten, Z-Ganzheitsbasen und relative Ganzheitsbasen bei Komposita von Radikalerweiterungen vom Grad p über Q, Diss. Saarbrücken 1991. (1991) 
  10. A. A. Suslin, Projective Modules over a Polynomial Ring are free, Dokl. Akad. Nauk. SSSR, Tom 229, No. 5 (1976). (1976) Zbl0354.13010MR0469905
  11. August Thome, Zur Existenz von Ganzheitsbasen bei endlichen separablen Erweiterungen von Dedekindringen, Diss. Saarbrücken 1986. (1986) 
  12. August Thome, 10.1007/BF01261974, Arch. Math. 51, 523-531 (1988). (1988) MR0973728DOI10.1007/BF01261974

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