素理想

刻划了MS－代数的素理想生成的同余关系，由此刻划证明了MS－代数具有同余扩张性。

This paper characterizes the congruence induced by a prime ideal of an MS algebra , and from the characterization we show that the congruence extension property holds in MS algebras .

给出一个反例，回答了Bell和Mason的问题：在拟环中，素理想和强素理想是不同的概念。

A counter example to illuminate the difference between prime ideal and strongly prime ideal in near-rings is given , this result answers the question advanced by Bell and Mason .

Fuzzy环中的Fuzzy素理想与Fuzzy完全素理想

Fuzzy Prime Ideals and Fuzzy Completely Prime Ideals in a Fuzzy Ring

结构矩阵近环S（B，N0）中的理想和素理想（英文）

Ideals and Prime Ideals in Structural Matrix Near-rings S ( B , N_0 )

R（N）是N的一个s－素理想；

R ( N ) is a s - primitive ideal of N ;

双重Stone代数的素理想与同余性质

The Prime Ideals and Congruence Property of Double Stone Algebra

（Ⅲ）X中不存在弱素理想子代数P使X/P有极小理想子代数；

(ⅲ) X does not contain a weak prime ideal subalgebra P such that X / P has , a minimal ideal subalgebra ;

利用Fuzzy点给出了Fuzzy半群F、uzzy理想、Fuzzy素理想的概念，并讨论了它们的性质。

In this paper , the concept of fuzzy semigroups , fuzzy ideals , fuzzy prime ideals are given by means of the fuzzy points . Some properties are discussed .

一个有单位元的交换环R称为α~-环，如果R是0维的并且R的每个准素理想都是素理想之幂。

A commutative ring with identity R is called an a-ring if R is zero-dimensional and each primary ideal in R is a power of a prime ideal .

研究了伪补MS代数的素理想与同余关系之间的联系，证明了伪补MS代数的同余格与它的MS代数的同余格是相同的。

This paper studies connection of prime ideal and congruence relation in pseudo-complemented MS-algebra . We show that the congruence lattice of pseudo-complemented MS-algebra is the same as the congruence lattice of MS-algebra in it .

Boole环的素理想的一种特性

Property of Boole ring 's prime idea

文章引入了强模糊子环的概念，并且给出了任意环R上的强模糊子环中的模糊素理想定理。

A strong fuzzy subring is introduced in this paper , and we characterize all fuzzy prime idea of an arbitary ring R , We show that a nonconstant fuzzy idea p of R is prime if and only of p ?

本文利用量子群uq（sl（2））的表示及其理想的生成子，证明了uq（sl（2））的任一非零理想在某种意义下可唯一分解为若干个素理想的乘积。

Using the representations and generators of the ideals of quantum group uq ( sl ( 2 )), the authors prove that every non-zero ideal of Uq ( sl ( 2 )) can be uniquely in a sense written as a product of some prime ideals .

本文把环论中相应的构造性定理推广到双群结合环，并得到：环（А，Γ）的Koethe根是具某性质的素理想的交；

In this paper , the construction theories of rings are generalized to two-group associative rings . Thus , we have : Koethe radical of the ring ( A ,Γ) is the intersection of some prime ideals with a certain property ;

将交换环中关于一个理想的极小素理想和极大素理想的两种理论推广到DQC一环中，得到了与交换环中相近的重要结果.因而这一推广具有重要的理论意义。

This paper generalizes the theories of the minimal prime ideals of a ideal , the maximal prime ideals of a ideal in the commutative rings to DQC rings . The results in DQC rings are almost the same as those in the commutative rings .

关于一种相对域的素理想分解

On the prime ideal decomposition of a kind of relative field

环的理想作成极大理想与素理想的若干条件

Some Condition on the Ring Ideal Creating Maximum Ideal and Prime Ideal

半群中的粗准素理想与粗模糊准素理想

Rough primary ideals and rough fuzzy primary ideals in semi-groups

关于环的半素理想的几个结论

Some results of semi - prime ideal of the ring

双重MS-代数的素理想与次直不可约类

The subdirectly irreducible class and prime ideal of double MS-Algebras

环中的粗素理想与模糊粗素理想

Rough Prime Ideals and Rough Fuzzy Prime Ideals in Rings

准素理想的商理想与代数簇

Algebraic varieties of ideal quotients in the pre-prime ideal

软代数的素理想与同余关系

The prime ideals and congruence relations of soft algebra

微分算子环的素理想

On prime ideals of the ring of differential operators

完备素理想和抽象完备集环

Completely Prime Ideals and Abstractly Complete Rings of Sets

幂格的素理想和素对偶理想

Prime Ideal and Prime Dual Ideal of Power Lattices

由唯一因子分解定理推出理想是一个素理想。

By unique factorization , the ideal is prime .

交换环中素理想的特征数

Characteristic number of prime ideal in commutative ring

正规软代数的素理想刻划

The Prime Ideals Characterizations of Normal Soft Algebras

利用素理想给出了构造非标准模型的一种直观方法。

A new intuitive method of constructing non-standard model is given by using primeideal .