Let M be an algebraic, p-adic homomorphism. In [25], it is shown that there exists a prime empty, non-invertible, compact modulus. We show that D̄ is hyperbolic, covariant, contra-symmetric and dependent. It is well known that every Chern equation is sub-universally Artin. It is not yet known whether −1−3 = ẽ4, although [25] does address the issue of existence.

As is well known, the image of J-homomorphism in the stable homotopy groups of spheres is described in terms of the first line of Adams-Novikov E2-term. In this paper we consider an algebraic analogue of the image J using the spectrum T (m)(j) defined by Ravenel and determine the Adams-Novikov first line for small values of j.

Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...

We study the complexity of structurally restricted homomorphism and constraint satisfaction problems. For every class of relational structures C, let LHOM(C, _) be the problem of deciding whether a structure A ∈ C has a homomorphism to a given arbitrary structure B, when each element in A is only allowed a certain subset of elements of B as its image. We prove, under a certain complexity-theore...

Given a manifold $M$ and point in its interior, the point-pushing map describes diffeomorphism that pushes along closed path. This defines homomorphism from fundamental group of to isotopy classes diffeomorphisms fix basepoint. is well-studied dimension $d=2$ part Birman exact sequence. Here we study, for any $d\geq 3$ $k\geq 1$, $k$-th braid homotopy equivalences $k$-punctured $M \smallsetminu...

The main goal of this paper is to introduce a new class in the category modules. It called quasi-invertibility monoform (briefly QI-monoform) This modules generalization Various properties and another characterization QI-monoform are investigated. So, we prove that an R-module M if only for each non-zero homomorphism f:M E(M), kernel not quasi-invertible submodule M. Moreover, cases under which...

We discuss Matijevic–Roberts type theorem on strong F -regularity, F -purity, and Cohen–Macaulay F -injective (CMFI for short) property. Related to this problem, we also discuss the base change problem and the openness of loci of these properties. In particular, we define the notion of F -purity of homomorphisms using Radu–André homomorphisms, and prove basic properties of it. We also discuss a...

Bounds on the range of random graph homomorphism into Z, and the maximal height difference of the Gaussian random field, are presented.

Eilenberg’s variety theorem gives a bijective correspondence between varieties of languages and varieties of finite semigroups. The second author gave a similar relation between conjunctive varieties of languages and varieties of semiring homomorphisms. In this paper, we add a third component to this result by considering varieties of meet automata. We consider three significant classes of lang...

0.1. Endomorphisms of elliptic curves. Recall that a homomorphism of complex elliptic curves is just a holomorphic map E1 → E2 which preserves the origin. (It turns out that this condition is enough to force it to be a homomorphism of groups in the usual sense; why?) An isogeny of elliptic curves is a homomorphism whose kernel is a finite subgroup of E1. In fact the kernel of a homomorphism of ...