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弱Hopf代数的对偶定理及Smash积的模结构
弱Hopf代数 Smash积 模代数
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2008/8/19
本文主要包括两方面内容: 首先将Hopf代数理论中的对偶定理部分地推广到弱Hopf代数的情况; 然后讨论弱Hopf代数上的Smash积的模及模同态,并部分地推广了Maschke-type定理.
本文研究了伪内射模与主伪内射模,它们分别是拟内射模与PQ-内射模的推广.伪内射模是对偶于伪投射模的.我们讨论了伪内射模与主伪内射模的性质及其自同态环,并得到了自同态环的Jacobson根的若干性质.
一类上三角矩阵环$W_{n}(p, q)$的斜Armendariz性质
$\alpha$-斜Armendariz环 $\alpha$-rigid环 上三角矩阵环
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2008/7/8
设$\alpha$是环$R$的一个自同态,称环$R$是$\alpha$-斜 Armendariz 环, 如果在$R[x; \alpha]$中,$(\sum_{i=0}^{m}a_{i}x^{i})~(\sum_{j=0}^{n}$ $b_{j}x^{j})=0$,那么$a_{i}\alpha^{i}(b_{j})=0$, 其中$0\leq i\leq m, 0\leq j\leq n$. 设$R$...
二次系统的一类三角形周期环域的Poincaré分支
三角形周期环域 分支函数 极限环
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2008/6/19
二次系统的一类三角形周期环域的Poincaré分支。
有限級有序加羣及有序環的表現
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2007/12/13
在另一文中,我们讨论了由全体2维實向量所成的有序环,在该文最後並说當维数n>2时(n为有限)也可类似地作初步讨论.为了显示这种向量环的用途,我们考虑用向量环来表现一般有序环的问题.在本文中我们证明:任一“n级的”(见以下定义)有序环都能与一个由若干n维實向量所组成的有序环同构.(主要在於证出关於n级有序加羣的类似结果.)我们希望有较好的结果,即:任一n级有序环都能与由全体n维實向量所成的一个有序...
Derivations as Homomorphisms and Anti-homomorphisms on Lie Ideals (在Lie理想上为同态和反同态的导子)
素环 Lie理想 导子 同态 反同态
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2007/12/12
设$R$是2-扭自由的素环,$Z$是它的中心,$U$是它的Lie理想.如果$d$是$R$的一个导子,并且在$U$上是同态或反同态,则$d=0$,或者$U\subseteq Z$.此结果改进了Asma, Rehman,以及Shakir的一个定理.
Commutators with Power Central Values on Lie Ideals in Rings
素环 半素环 Lie理想 微商 微商恒等式
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2007/12/12
这篇论文证明:设$R$是素环,$d$是$R$的微商,$L$是$R$的一个非中心Lie理想,并且$[d(u),u]^{n}$在中心对,对所有的$u\in L$成立,则$R$一定满足$s_{4}$,四个变量的标准恒等式.这篇论文中结果改进了 Carini和Filippis的结果.
Exchange rings generated by their units
置换环 本原分式环 强$\pi$正则环
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2007/12/10
假设$R$为本原分式Artinian环,证明了有$u\in U(R)$使得$1_R\pm u\in U(R)$ 当且仅当对任何$a\in R$, 有$u\in U(R)$使得$a\pm u\in U(R)$. 进一步，证明了 对任何$A\in M_n(R)(n\geq 2)$, 有$U\in GL_n(R)$ 使得$A\pm U\in GL_n(R)$. 作为应用得到了强$\pi$正则环中任何元素...
Cover for Modules and Injective Modules
Commutative ring D-prime module cover prime submodule injective module quasi-injective and injective hull
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2010/2/25
Let R be a commutative ring with identity and M be an R-module with Spec(M) \neq f. A cover of the R-submodule K of M is a subset C of Spec(M) satisfying that for any x \in K, x \neq 0, there is N \in...
Certain Rings Whose Simple Singular Modules Are nil-injective
Left minimal elements Left min-abel rings Strongly left min-abel rings Left MC2 rings Simple singular modules Left nil- injective modules
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2010/2/25
In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring whose simp...
Rickart-type Annihilator Conditions on Formal Power Series
Annihilator conditions Nearrings Skew power series Baer rings a-rigid rings Rickart rings
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2010/2/25
Let R be an a-rigid ring and R0[[x;a]] be the nearring of a formal skew power series in which addition and substitution are used as operations. It is shown that R is Rickart and any countable family o...
左Yetter-Drinfeld模范畴中的双Frobenius代数
Yetter-Drinfeld模范畴 双Frobenius代数
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2010/9/20
左Yetter-Drinfeld模范畴中的双Frobenius代数。
On Derivations of Prime Gamma Rings
Derivation gamma ring prime gamma ring quotient gamma ring
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2010/3/1
We consider some results in a G-ring M with derivation which is related to Q, and the quotient G-ring of M.
On the Modular Curve X(6) and Surfaces Admitting Genus 2 Fibrations
Fibrations moduli spaces
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2010/3/1
In this paper, we study the moduli spaces of surfaces admitting nonsmooth genus 2 fibrations with slope l = 6 (necessarily) over curves of genus \geq 1. We determine the structure of each connected co...
q-Euclidean L-fuzzy Ideals of Rings
Fuzzy quotient ring isomorphism of rings q -Euclidean L-fuzzy ideal
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2010/3/1
concept of fuzzy ideals is extended by introducing q -Euclidean L-fuzzy ideals in rings. In particular, some structural theorems for a q -Euclidean L-fuzzy ideal of R are proved.