共查询到20条相似文献,搜索用时 62 毫秒
1.
本文给出了剩余交和一般剩余交的几个性质,主要讨论了剩余交的GCM性和在形变下的变化情况,并讨论了一般剩余交的GCM性,CM性和可光滑性等. 相似文献
2.
本文给出介于Noether环和CM环之间的一类环———D环的定义、性质及刻划. 相似文献
3.
结合环根论中由具有单位元的单环类所确定的上根就是Brown-McCoy根.本文指出在Γ-环中,鉴于Γ-环单位元的复杂性质使得有幺单Γ-环类确定的上根演变成8个,进而研究了这些根之间及这些根与Γ-环其它根之间的大小关系. 相似文献
4.
结合环根论中由具有单位元的单环类所确定的上根就是Brown-McCoy根。本文指出在Г-环中,鉴于Г-环单位元的复杂性质使得有幺单Г-环类确定的上根演变成8个,进而研究了这些根之间及这些根与Г-环其它根之间的大小关系。 相似文献
5.
文章研究了一类函数增量的局部渐近性质,发现这类函数增量的局部渐近性对于一元实函数,二元及多元实函数,向量值函数和复函数在一定条件下都会保持不变,进而提出了两个相关的猜想:此类函数增量的渐近性是关于函数变换的拓扑不变量。 相似文献
6.
本文证明了紧度量空间上的连续流经提升或投射后,其伪轨跟踪性质及可扩性是不变的;做为应用给出了不定向闭曲面上具有伪轨跟踪性质的Cr流的特征。 相似文献
7.
本文给出了赋Orlicz范数的Musielak-Orlicz序列空间的局部一致凸性,(H)性质,(S)性质的判据。 相似文献
8.
本文证明了Rn中线性局部连通集定义中的两个性质分别在保持无穷远点不变的拟共形映照下是不变的,并且指出保持无穷远点不变的条件是必不可少的.反过来,设f是Rn上的同胚,f( )= ,若线性局部连通集定义中的任意一条性质在f下不变,则f必是拟共形映照. 相似文献
9.
本文在文献[4]的基础上,研究了L-拓扑空间的局部Nβ-紧性.借助于完全Nβ-紧集和强邻域,定义了L-拓扑空间的局部Nβ-紧性,证明了它是闭可遗传的、有限可乘的、且在连续开满的L值Zadeh型函数下保持不变,说明了它是一种L-好的推广性质. 相似文献
10.
极小条件环中的左理想的因子分解王元金(辽宁师范大学数学系,大连116022)关键词交换环,素理想,左理想.分类号AMS(1991)13A15/CCLO153.3文献[1]讨论了极小条件环中左理想分解为左素理想之交的问题.本文利用文献[1]的一些结果,... 相似文献
11.
Algebraic and combinatorial properties of a monomial ideal are studied in terms of its associated radical ideals. In particular, we present some applications to the symbolic powers of square-free monomial ideals. 相似文献
12.
Let M be a positively a-determined module. We will prove that M is sequentially Cohen–Macaulay if and only if the Alexander dual module M a is componentwise support-linear. 相似文献
13.
In this article, we give new characterizations of the Buchsbaum and Cohen–Macaulay properties of the tangent cone gr 𝔪 ( R), where ( R, 𝔪) is a numerical semigroup ring of embedding dimension 3. In particular, we confirm the conjectures raised by Sapko on the Buchsbaumness of gr 𝔪 ( R). 相似文献
14.
A commutative noetherian ring R is called an almost Cohen–Macaulay ring if depth( P, R) = depth( P R P , R P ) for every P ∈ Spec R. [It was called a D-ring by Han (Acta Math. Sinica 1998, 4, 1047–1052).] Several fundamental properties of almost Cohen–Macaulay rings were estabished by Han. In this note, a new characterization is proved: R is an almost Cohen–Macaulay ring if and only if height P ≤ 1 + depth( P, R) for every P ∈ Spec( R). By this characterization, we settle an unsolved problem in Han's paper: R is an almost Cohen–Macaulay ring if and only if so is the power series ring R[[ X 1, …, X n ]]. The notion of an almost Cohen–Macaulay ring is generalized to that of an almost Cohen–Macaulay module in this note. 相似文献
15.
In this article, we show that almost Cohen–Macaulay algebras are solid. Moreover, we seek for the conditions when (a) an almost Cohen–Macaulay algebra is a phantom extension and (b) when it maps into a balanced big Cohen–Macaulay module. 相似文献
16.
Abstract We define some numerical invariants over Cohen–Macaulay local rings. These invariants are related to columns of the presenting matrices of maximal Cohen–Macaulay modules and syzygy modules without free summands. We study the relationship between these invariants, and the invariant col(A). 相似文献
18.
The following results are proved: (a) In a model obtained by adding 2 Cohen reals, there is always a c.c.c. complete Boolean algebra without the weak Freese-Nation property. (b) Modulo the consistency strength of a supercompact cardinal, the existence of a c.c.c. complete Boolean algebra without the weak Freese-Nation property is consistent with GCH. (c) If a weak form of □μ and cof([μ]0,)=μ+ hold for each μ>cf(μ)=ω, then the weak Freese-Nation property of
is equivalent to the weak Freese-Nation property of any of
or
for uncountable κ. (d) Modulo the consistency of (ω+1,ω)(1,0), it is consistent with GCH that
does not have the weak Freese-Nation property and hence the assertion in (c) does not hold, and also that adding ω Cohen reals destroys the weak Freese-Nation property of
. These results solve all of the problems except Problem 1 in S. Fuchino, L. Soukup, Fundament. Math. 154 (1997) 159–176, and some other problems posed by Geschke. 相似文献
20.
Let ( R, 𝔪) be a Cohen–Macaulay local ring. If R has a canonical module, then there are some interesting results about duality for this situation. In this article, we show that one can indeed obtain similar results in the case R does not have a canonical module. Also, we give some characterizations of complete big Cohen–Macaulay modules of finite injective dimension, and by using them, some characterizations of Gorenstein modules over the 𝔪-adic completion of R are obtained. 相似文献
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