In this paper all coordinates in two variables over a Noetherian Q-domain of Krull dimension one are proved to be projectively tame. In order to do this, some results concerning projectively-tameness of polynomials in general are shown. Furthermore, we deduce that all automorphisms in two variables over a Noetherian reduced ring of dimension zero are tame.

In this paper, considering the difference between the finiteness dimension and cohomological dimension for a finitely generated module, we investigate the asymptotic behavior of grades of components of graded local cohomology modules with respect to irrelevant ideal; as long as we study some artinian and tameness property of such modules.

Motivated by Rosenthal’s famous $$l^1$$ -dichotomy in Banach spaces, Haydon’s theorem, and additionally recent works on tame dynamical systems, we introduce the class of locally convex spaces. This is a natural analogue Rosenthal spaces (for which any bounded sequence contains weak Cauchy subsequence). Our approach based bornology subsets turn closely related to eventual fragmentability. leads,...

We show how to characterize integral models of Shimura varieties over places the reflex field where level subgroup is parahoric by formulating a definition “canonical” model. then prove that in Hodge type cases and under tameness hypothesis, constructed author Kisin previous work are canonical and, particular, independent choices. A main tool theory displays with structure we develop this paper.

Domestication has been consistently accompanied by a suite of traits called the domestication syndrome. These include increased docility, changes in coat coloration, prolonged juvenile behaviors, modified function of adrenal glands and reduced craniofacial dimensions. Wilkins et al recently proposed that the mechanistic factor underlying traits that encompass the domestication syndrome was alte...

The main contribution of this paper is the solution of a word problem over R, the pseudovariety of all R-trivial semigroups which corresponds, in Eilenberg’s correspondence, to disjoint unions of languages of the form A0a1A ∗ 1a2 . . . anA ∗ n, where the ai’s are letters and ai / ∈ Ai−1 for 1 6 i 6 n. They are also the divisors of transition semigroups of the so-called extensive automata, that ...

Generalizing a result of Yoshinaga in dimension 3, we show that a central hyperplane arrangement in 4-space is free exactly if its restriction with multiplicities to a fixed hyperplane of the arrangement is free and its reduced characteristic polynomial equals the characteristic polynomial of this restriction. We show that the same statement holds true in any dimension when imposing certain tam...