共查询到20条相似文献,搜索用时 93 毫秒
1.
LetF be a commutative ring with 1, letA, be a primeF-algebra with Martindale extended centroidC and with central closureA
c
and letR be a noncentral Lie ideal of the algebraA generatingA. Further, letZ(R) be the center ofR, let
be the factor Lie algebra and let δ:
be a Lie derivation. Suppose that char(A) ≠ 2 andA does not satisfySt
14, the standard identity of degree 14. We show thatR ΩC =Z(R) and there exists a derivation of algebrasD:A →A
c
such that
for allx∈R. Our result solves an old problem of Herstein. 相似文献
2.
V. A. Zapol’skii 《Journal of Mathematical Sciences》2009,161(3):375-383
A cover of a manifold X is called an r-cover if any r points of X belong to a set in the cover. Let X and Y be two smooth manifolds, let Emb(X, Y) be the family of smooth embeddings X → Y, let M be an Abelian group, and let F: Emb(X, Y) → M be a functional. One says that the degree of F does not exceed r if for each finite open r-cover {U
i
}
i∈I
; of X there exist functionals F
i
: Emb(U
i
, Y) → M, i ∈ I, such that for each a ∈ Emb(X, Y) one has
F(a) = ?i ? I Fi( a| Ui ) F(a) = \sum\limits_{i \in I} {{F_i}\left( {a\left| {_{U_i}} \right.} \right)} 相似文献
3.
In this paper we study the problem of explicitly constructing a dimension expander raised by [3]: Let
\mathbbFn \mathbb{F}^n be the n dimensional linear space over the field
\mathbbF\mathbb{F}. Find a small (ideally constant) set of linear transformations from
\mathbbFn \mathbb{F}^n to itself {A
i
}
i∈I
such that for every linear subspace V ⊂
\mathbbFn \mathbb{F}^n of dimension dim(V)<n/2 we have
|
设为首页 | 免责声明 | 关于勤云 | 加入收藏 |
Copyright©北京勤云科技发展有限公司 京ICP备09084417号 |