𝑝-integral bases of a cubic field-Reference-Cited by-同舟云学术

𝑝-integral bases of a cubic field

Published:1998 Issue:7 Volume:126 Page:1949-1953
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Alaca Şaban

Abstract

A p p -integral basis of a cubic field K K is determined for each rational prime p p , and then an integral basis of K K and its discriminant d ( K ) d(K) are obtained from its p p -integral bases.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-07/S0002-9939-98-04422-0/S0002-9939-98-04422-0.pdf

Reference2 articles.

1. Ş. Alaca, 𝑝-Integral Bases of Algebraic Number Fields, submitted for publication.

2. Effective determination of the decomposition of the rational primes in a cubic field;Llorente, Pascual;Proc. Amer. Math. Soc.,1983

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Discriminant and integral basis of number fields defined by exponential Taylor polynomials;Proceedings of the Edinburgh Mathematical Society;2024-04-08

2. THE LIFTING PROBLEM FOR UNIVERSAL QUADRATIC FORMS OVER SIMPLEST CUBIC FIELDS;Bulletin of the Australian Mathematical Society;2023-10-06

3. History and development of algebraic number theory;Proceedings of the Indian National Science Academy;2023-05-25

4. Integral Bases and Monogenity of Pure Number Fields with Non-Square Free Parameters up to Degree 9;Tatra Mountains Mathematical Publications;2023-02-01

5. Discriminant and integral basis of sextic fields defined by x6+ax+b;Communications in Algebra;2022-05-04