A note on certain fields of finite transcendence type期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

A note on certain fields of finite transcendence type

Authors:	Zhu Yaochen

Institution:	(1) Institute of Applied Mathematics, Academia Sinica, China

Abstract:	Let $\mathbb{K} \subseteq \mathbb{C}$ be a finitely generated extension field of ℚ, andα _i,β_j(1⩽i⩽m,1⩽j⩽n) be some complex numbers. Let $\mathbb{L}_k \left( {k = 1,2,3} \right)$ (k=1,2,3) be fields obtained by adjoining to $\mathbb{K}$ the numbers {α _i,β_j exp(α_iβ_j)}, {α_i, exp(α_iβ_j)}, and {exp(α_iβ_j)}, respectively. In the present note the relation between the transcendental degree of $\mathbb{L}_k$ over $\mathbb{K}$ and the transcendence type of $\mathbb{L}_k$ over ℚ is given. This work was completed in Dpt. Math., Univ. of Southern Mississippi, Hattiesburg, USA.

Keywords:
本文献已被 SpringerLink 等数据库收录！