منابع مشابه
A Note on Idempotents in Finite Aw*-factors
We prove that the value of the quasi-trace on an idempotent element in a AW*-factor of type II1 is the same as the dimension of its left (or right) support. It is a long standing open problem (due to Kaplansky) to prove that an AW*factor of type II1 is in fact a von Neumann algebra. A remarkable answer, in the affirmative, was found by Haagerup ([Ha]), who proved that if an AW*-factor A is gene...
متن کاملOn concentrating idempotents, a survey
A sum of exponentials of the form f(x) = exp (2 iN1x)+exp (2 iN2x)+ +exp (2 iNmx), where the Nk are distinct integers is called an idempotent trigonometric polynomial or, simply, an idempotent. It is known that for every p > 1; and every set S of the torus T = R=Z with jSj > 0; there are idempotents concentrated on S in the Lp sense. We sketch how this concentration phenomenon originated as a r...
متن کاملHeisenberg Idempotents on Unipotent Groups
Let G be a possibly disconnected algebraic group over an algebraically closed field k of characteristic p > 0, such that its neutral connected component, H = G0, is a unipotent group. We recall that an algebraic group over k is defined to be a smooth group scheme of finite type over k. Let us fix a prime number l 6= p. If X is a k-scheme, we use D(X) to denote the bounded derived category of Ql...
متن کاملA GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=Icap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
متن کاملA note on vague graphs
In this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. Also, density and balanced irregular vague graphs are discussed and some of their properties are established. Finally we give an application of vague digraphs.
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: Communications in Algebra
سال: 2016
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2016.1233236