赋值环(valuation ring)是一种特殊的局部环。也是重要的交换环类。交换环R称为赋值环。赋值环是交换的特殊序列。它与戴德金环有密切的关系。事实上，交换诺特局部整环是赋值环当且仅当它是戴德金环。
本文讨论赋值环上的对称线性型、二次型和对称矩阵的合同标准形。
In this paper we will discuss symmetric bilinear forms and quadratic forms over valuation rings, and establish the congruent standard forms of symmetric matrices over valuation rings.
第一章中，我们研究了剩余域是代数闭域的离散赋值环上的完全分次代数；
In the first chapter, we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.
本文给出了有单位元的弱准素环的一个新刻划并给出了弱准素整环是拟赋值环或赋值环的条件。
We give a new characterization of weakly primary rings with identity and conditions that a weakly primary domain is a valuation ring or quasi-valuation ring.
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