In this paper, we give the representation of integral closure of a cubic extension about general Neotherian unique factorization domain (2, 3 are not units). Then we give a series of integral number about a cubic extension.
本文在前人研究的基础上，去掉2，3可逆的这一条件，给出了诺特唯一分解环上的三次扩张的整闭包的描述，并由此刻画了一批该扩张下的整元。
Neotherian unique factorization domain; cubic extension; integral closure
诺特唯一分解环；三次扩张；整闭包
The inflatable closure plug is characterized by integral closure, easy assembly, quick air isolation in pipelines or valves, foreign body resistance function and sealed effect.
充气式密封塞以整体式封堵，安装方便快捷，能快速在管道或阀门内部空腔进行隔离，起到防异物和密封作用。
The main pressure parts of quick opening closure are made of integral forge steel without weld assembly.
盲板主要承压部件采用锻钢整体加工而成，无焊接件。
The ring C is called the integral closure of A in B.
环C叫作A在B中的整闭包。
Equilibrium BL's: Clauser Hypothesis. Dissipation Formulas and Integral Closure.
平衡边界层：克劳勒假说。消散公式和封闭积分。
In this paper, we introduce the concepts of an integral element and the integral closure for modules, and discuss the integrally closed properties of submodules.
本文引进了模上的整元素及模的整闭包的概念，讨论了子模的整闭性问题。