基本解释：整环
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Inverse-preserving linear operators on spaces of upper triangular matrices over commutative integral domain;交换整环上三角矩阵的保逆线性算子
) of semigroup rings is discussed;under the condition that the rings are integral domains and the semigroups are commutative torsion-free and cancellative monoids.在环为整环、半群为交换无挠可消摹群的条件下对半群环的主理想升链条件进行了研究。
In recent years, how to extend it to an arbitrary integral domain has become a problem of great concern.近年来 ,如何把解决域上多条序列最短线性移性位寄存器综合问题的基本迭代算法(FIA)扩展到任意一个整环上 ,这一问题很受关注。
We obtain some important properties of commutative Noetberian ring and domain Noetherian ring,and expand some results in.Noether交换环是一类非常重要的环,本文主要对Noether交换环进行了研究和讨论,得到了Noether交换环、Noether整环的若干性质;并推广了文[1]中的部分结果。
Several properties of adjoint matrix over an arbitrary ring and obtain some results over domain are given.讨论了交换环上伴随矩阵的若干性质,给出了整环上的一个主要结论。
Then,when R is an integer ring and its character is not 2,all the automorphisms of L are determined.借助于一种构造性证明的方法,证明了L的中心平凡且导子均为内导子,即L是完备李代数,并在R是特征不为2的整环的条件下,决定了L的所有自同构。
The maximal abel ideals of the Lie algebra of upper triangular matrices over the integral domains;整环上的上三角矩阵李代数的极大交换理想
Composed Groebner basis over Noetherian domainNoether整环上的复合Groebner基
DT Domains and α-, b-, c- Operation in Commutative Rings;DT整环和环上的α-，b-，c-算子
(8) Comprehensive City Renovation（八）环境综合整治
Restructured Global Environment Facility经调整的全球环境基金
flash suppressor环火抑制器 -整流子
The circle wanted to be whole,圆环想让自己保持完整，
steel weldless eye nut钢制整体式环首螺母
environmental-friendly process环境友好[染整]工艺
cyclodextrins, cyclic oligosaccharides环状糊精（环状低聚糖,可用作整理剂）
The Simple Elements of Gauss Integral Ring and Research of the Nature of Quotient Ring;高斯整数环素元及其商环性质的研究
The Maximal Z-Order of the Integral Group Rings of Finite Cyclic Groups;P~r阶循环群的整群环的极大Z-序
An Explicit Depiction of Quotient Ring of Gaussian Integer Ring;Gauss整数环的商环的一种显式刻画
Accordingly, a whole series of concentric bright and dark rings will surround the central spot.因此，环绕着中央点将会有整整一系列同心亮环和暗环。
Select a valid ring constaint value to define a complete ring constraint.选择有效的环式约束值以定义完整的环式约束。
Keep the machines and environment in clean, tidy and safety condition (Housekeeping).保持机器及其环境的干净、整洁和安全（环境卫生）。
-- Comprehensive improvement of the urban environment and improving the quality of the urban environment.--开展城市环境综合整治，改善城市环境质量。
Some Diophantine Equations on Certain Extention Rings of Integers整数环的某些扩环上的一些丢番图方程
Environmental Evolution and Environmental Engineering Project of the Venice Lagoon in Italy意大利威尼斯泻湖的环境演变与环境整治工程
