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21.
22.
We investigate the prime spectrum of a noncommutative ring and its spectral closure, the extended prime spectrum. We construct
a ring for which the prime spectrum is a spectral space different from the extended prime spectrum and we construct a von
Neumann regular ring for which the prime spectrum is not a spectral space.
The authors are members of the European Research Training Network RAAG (Contract No. HPRN-CT-2001-00271). The first author
was also supported by the Ministry of Education, Science and Sport of Slovenia. 相似文献
23.
In this paper, we will prove that the plus cupping degrees generate a definable ideal on c.e. degrees different from other
ones known so far, thus answering a question asked by Li and Yang (Proceedings of the 7th and the 8th Asian Logic Conferences.
World Scientific Press, Singapore, 2003). 相似文献
24.
朱军 《新疆大学学报(理工版)》1994,11(1):29-32,14
在[1]中A.Hopenwasser讨论了Nest代数的一类超凝聚理想,称为Hopenwasser理想,本文将给出这类理想的距离公式,这个结果一般化为[2]中的距离公式.特别地,我们得到了Nest代数的Jacobson根和Larson强根的距离公式. 相似文献
25.
Victor Nistor 《K-Theory》1991,5(3):193-211
We define a Chern character for p-summable quasihomomorphisms. We study its properties and show that it is compatible with the analytic index. The results are similar to Connes' results on the Chern character on K-homology but the methods are different. This solves most of a problem of Connes. 相似文献
26.
《Mathematische Nachrichten》2017,290(14-15):2308-2321
Let be a Banach operator ideal and X be a Banach space. We undertake the study of the vector space of ‐null sequences of Carl and Stephani on X , , from a unified point of view after we introduce a norm which makes it a Banach space. To give accurate results we consider local versions of the different types of accessibility of Banach operator ideals. We show that in the most common situations, when is right‐accessible for , behaves much alike . When this is the case we give a geometric tensor product representation of . On the other hand, we show an example where the representation fails. Also, via a trace duality formula, we characterize the dual space of . We apply our results to study some problems related with the ‐approximation property giving a trace condition which is used to solve the remaining case () of a problem posed by Kim (2015). Namely, we prove that if a dual space has the ‐approximation property then the space has the ‐approximation property. 相似文献
27.
《Mathematische Nachrichten》2017,290(17-18):2788-2799
A well‐known result of J. Lindenstrauss and A. Pełczyński (1968) gives the existence of a universal non‐weakly compact operator between Banach spaces. We show the existence of universal non‐Rosenthal, non‐limited, and non‐Grothendieck operators. We also prove that there does not exist a universal non‐Dunford–Pettis operator, but there is a universal class of non‐Dunford–Pettis operators. Moreover, we show that, for several classes of polynomials between Banach spaces, including the non‐weakly compact polynomials, there does not exist a universal polynomial. 相似文献
28.
Nicolas Bouffard 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(17):5815-5832
A semi-topological semigroup is strongly left amenable if there is a compact left ideal group in the spectrum of its LUC-compactification. In this paper, we want to study those objects, and study some fixed point property related to non-expansive mapping and other similar kind of mapping. 相似文献
29.
利用同余关系把粗糙集理论引入到半环里,给出了半环中的一个子集的上,下近似的概念,并研究了其一系列性质;另外我们还讨论了半环中的粗糙理想及性质. 相似文献
30.
In this article, we present some commutativity theorems for a ring R equipped with a generalized derivation satisfying certain differential identities on Jordan ideals of R. Some related results for prime rings are also discussed. Finally; we provide examples to show that the assumed restrictions are not superfluous. 相似文献