In the first chapter, we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.
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；
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.
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。
In this paper, we introduce the notion of M-valuation systems for a commutative ring, and investigate the M-valuations from the inside of a commutative ring.
在本文中，我们引进了M -赋值系统的概念，从环的内部给出交换环上M -赋值的结构。
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