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TranslationMobile

射影維數(shù)

"projective" in Chinese : adj. 1.投影的，射影的。 2.凸出的，突出的。 3 ...
"dimension" in Chinese : n. 1.尺寸。 2.【數(shù)學(xué)】次元，度(數(shù))，維(數(shù))。 ...
"projective" in Chinese : adj. 1.投影的，射影的。 2.凸出的，突出的。 3.【心理學(xué)】投射的。 ...
"dimension" in Chinese : n. 1.尺寸。 2.【數(shù)學(xué)】次元，度(數(shù))，維(數(shù))。 3.【物理學(xué)】因次 ...
"dimension dimension" in Chinese : 量綱
"direct projective" in Chinese : 正射影變換
"opposite projective" in Chinese : 反向射影
"periodic projective" in Chinese : 循環(huán)射影
"projective a-module" in Chinese : 射影a模
"projective abundance" in Chinese : 投影多度
"projective algebraic" in Chinese : 射影代數(shù)的
"projective astroid" in Chinese : 射影星形線
"projective blaming" in Chinese : 投射性責(zé)備
"projective capacitive" in Chinese : 電容式
"projective center" in Chinese : 投影中心

Examples

In chapter 4 , we define the projective dimension of flat modules , use it to characterize many rings , and the relations between cotorsion modules and the projective dimension of flat modules are also given
在第四章中，我們定義了平坦模的投射維數(shù)，用它刻劃了一些環(huán)，并討論了cotorsion模和嚴(yán)坦模的投射維數(shù)的關(guān)系。
When i s is a squarefree strongly stable ideal , ic = i . therefore p and / have the same graded betti numbers , projective dimension and regularity . in this paper , we study the relationship of the betti numbers between ic and i . in section 1 , the concepts of combinatorial shifting and some related results are given
) s為無(wú)平方強(qiáng)穩(wěn)定理想時(shí)i ~ c = i ，因而i ~ c和i的分次betti數(shù)、投射維數(shù)和正則度相同，本文主要研究i為無(wú)平方穩(wěn)定理想時(shí)， i ~ c和i之間分次betti數(shù)的關(guān)系。
In the second chapter , we attain this goal by another route . collecting all short exact sequence and the morphisms among them , we get a new category , call the short exact sequences category crm . we define a global dimension attached to the original ring r from the view of the short exact sequences category cr . m , named the exact projective dimension
在第二章中我們將通過(guò)另一種方法，也就是考察所有的短正合列以及短正合列之間的態(tài)射，我們得到一個(gè)新的范疇，通過(guò)對(duì)這個(gè)范疇(我們稱(chēng)之為短正合列范疇c _ rm )的一些基本性質(zhì)的考察，我們定義出與環(huán)r相關(guān)的同調(diào)維數(shù)，我們稱(chēng)它為正合投射維數(shù)。
In section 3 , we show that when i is a squarefree stable ideal , shiftij ( i ) and i have the same graded betti numbers , projective dimension and regularity , then ic and i have the same graded betti numbers , projective dimension and regularity . at last we apply the results we obtained to simplicial complexes
在第三節(jié)中證明了當(dāng)i為無(wú)平方穩(wěn)定理想時(shí)， shiftij ( i )與i的分次betti數(shù)、投射維數(shù)和正則度相同，從而i ~ c與i的分次betti數(shù)、投射維數(shù)和正則度相同，最后將所得結(jié)論推廣到單純復(fù)形上。