منابع مشابه
The Mackey Topology and Complemented Subspaces of Lorentz Sequence Spaces
In this paper we continue the study of Lorentz sequence spaces d(w,p), 0 < p < 1, initiated by N. Popa [8]. First we show that the Mackey completion of d(w,p) is equal to d(v, 1) for some sequence v. Next, we prove that if d(w, p) (2 h, then it contains a complemented subspace isomorphic to lp. Finally we show that if limn_1(X)"=1 wi)1 = °°, tnen every complemented subspace of d(w,p) with symme...
متن کاملThe Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space
Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian...
متن کامل$LG$-topology
In this paper, we introduce a new model of point free topology for point-set topology. We study the basic concepts in this structure and will find that it is naturally close to point-set topology.
متن کاملTopology coloring
The purpose of this study is to show how topological surfaces are painted in such a way that the colors are borderless but spaced with the lowest color number. That a surface can be painted with at least as many colors as the condition of defining a type of mapping with the condition that it has no fixed point. This mapping is called color mapping and is examined and analyzed in differe...
متن کاملPRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(operatorname{rad}Q:M)=sqrt{(Q:M)}$. In this paper, we topologize $mathcal{PS}(M)$ with a topology having the Zariski topology on the prime spectrum $operatorname{Spec}(M)$ as a sub...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0383059-5