On the semi-simplicity conjecture for $\mathbb{Q}^\mathrm{ab}$

نویسندگان

چکیده

We show that the semi-simplicity conjecture for finitely generated fields follows from conjunction of finite and maximal abelian extension field rational numbers.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Semi-simplicity of the Cyclotomic Brauer Algebras

In this paper, a criterion on the semi-simplicity of the cyclotomic Brauer algebras is given. This result can be considered as a generalization of Wenzl’s theorem on Brauer algebras [27], which was known as Hanlon-Wales conjecture before.

متن کامل

Simplicity of Lyapunov Spectra: Proof of the Zorich-kontsevich Conjecture

We prove the Zorich-Kontsevich conjecture that the non-trivial Lyapunov exponents of the Teichmüller flow on (any connected component of a stratum of) the moduli space of Abelian differentials on compact Riemann surfaces are all distinct. By previous work of Zorich and Kontsevich, this implies the existence of the complete asymptotic Lagrangian flag describing the behavior in homology of the ve...

متن کامل

The Auslander-Reiten Conjecture for Group Rings

This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga...

متن کامل

Noncommutative Motives, Numerical Equivalence, and Semi-simplicity

In this article we further the study of the relationship between pure motives and noncommutative motives, initiated in [25]. Making use of Hochschild homology, we introduce the category NNum(k)F of noncommutative numerical motives (over a base ring k and with coefficients in a field F ). We prove that NNum(k)F is abelian semi-simple and that Grothendieck’s category Num(k)Q of numerical motives ...

متن کامل

“the effect of risk aversion on the demand for life insurance: the case of iranian life insurance market”

abstract: about 60% of total premium of insurance industry is pertained?to life policies in the world; while the life insurance total premium in iran is less than 6% of total premium in insurance industry in 2008 (sigma, no 3/2009). among the reasons that discourage the life insurance industry is the problem of adverse selection. adverse selection theory describes a situation where the inf...

15 صفحه اول

ذخیره 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: Mathematical Research Letters

سال: 2022

ISSN: ['1073-2780', '1945-001X']

DOI: https://doi.org/10.4310/mrl.2022.v29.n4.a4