This result is reformulated in terms of kernels of derivations on k-algebras A ⊂ B such that B is integral over A. Second we construct explicitly two examples of finite G-equivariant maps F. In the first one, F G is quasifinite but not finite. In the second one, F G is not...
Let Q be a quasigroup. If ϕ is a2-strong complete mapping of Q, then (1) x↦ϕ(x) is a complete mapping of Q, (2) x↦xϕ(x) is a strong complete mapping of Q, and (3) x↦x(xϕ(x)) is an orthomorphism of Q. Further, if θ is a strong complete mapping ...
There is a continuous homomorphism from GS to Gf . 15 We show that the answer is negative, namely: Theorem 1. There exists a Polish space X together with a continuous finite- to-1 function f : X Ñ X such that χBpGf q " ℵ0 and there is no Borel homo- morphism from GS to...
14 Danis Gratias - L’aventure des quasicristaux 29:46 Andrés Sambarino - 22 Dynamics Associated to Anosov Representations Some Geometr 1:01:30 Ryomei Iwasa - 33 Motivic Stable Homotopy Theory 1:19:41 Ana Caraiani - On the cohomology of Shimura varieties with torsion coefficients 1:11:59 ...
inC, a morphism (f,g) is monic ifffis injective andgis surjective while forEandB, (f,g) is monic ifffis injective (butgis not necessarily surjective); while colimits always exist iniE, it is not the case foriCandiB; not all finite Chu spaces (considered set-theoretically) are finite ...
I. Kravchuk, “Finite partially quasinilpotent groups,” Sibirsk. Mat. Zh., 6(3):477–483 (1965). Google Scholar Ya. G. Berkovich and É. M. Pal'chik, “On the representability of the subgroups of a finite group,” Sibirsk. Mat. Zh., 8(4):741–753 (1967). Google Scholar...
Exact functors of inverse image with respect to morphisms of algebraic varieties and direct image with compact supports with respect to quasi-finite morphisms of varieties $Y\\\longrightarrow X$ act on the exact categories $\\\mathcal {F}_X^m$. Assuming the existence of triangulated categori...
Further, we use this new approach in order to get a characterization of finite subcategories of 螖-good modules of a quasi-hereditary algebra in terms of depth of morphisms similar to a recently obtained characterization of Artin algebras of finite type....
In particular, the weak equivalences are precisely the $L_\\infty$--quasi-isomorphisms. Along the way, we give explicit constructions for pullbacks and factorizations of $L_\\infty$--morphisms between finite-type Lie $n$--algebras. We also analyze Postnikov towers and Maurer--Cartan/...
Any relational structure G is hom-equivalent to a unique core C (up to iso-morphism). □ Thus we can usually restrict our attention to cores without loss of generality. As a consequence, we get that the set of all (non-isomorphic) cores with the relation → is a partially ordered set...