The Higson compactification of any simply connected proper geodesic metric space admits an embedding into a product adelic solenoids that induces isomorphism 1-dimensional cohomology. the universal covering Y‾ finite complex Y supplied with lifted from π1(Y)-equivariant epimorphism

Given a finitely presented group G and an epimorphism χ : G→ Z, constraints on the orders of automorphisms F : G→ G such that χ ◦ F = χ are obtained via symbolic dynamics. The techniques provide new obstructions to periodicity for knots and links.

In this paper, we introduce the notion θ -Euclidean k–fuzzy ideal in semirings and to study the properties of the image and pre image of a θ -Euclidean k–fuzzy ideal in a semirings under epimorphism. Keywords—semiring, fuzzy ideal, k–fuzzy ideal,θ -Euclidean Lfuzzy ideal, θ -Euclidean fuzzy k–ideal, θ -Euclidean k-fuzzy ideal. 2000 AMS Classification: 16Y60, 13E05, 03G25.

we introduce center-like subsets z*(r,f), z**(r,f) and z1(r,f), where r is a ring and f is a map from r to r. for f a derivation or a non-identity epimorphism and r a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of r.

New mathematical objects called Finslerian N-spinors are discussed. The Finslerian N-spinor algebra is developed. It is found that Finslerian N-spinors are associated with an N-dimensional flat Finslerian space. A generalization of the epimorphism SL(2,C) → O↑+(1, 3) to a case of the group SL(N,C) is constructed.

Hopf representation is a module and comodule with a consistency condition that is more general than the consistency condition of Hopf modules. For a Hopf algebra H, we construct an induced Hopf representation from a representation of a bialgebra B using a bialgebra epimorphism π : H → B. Application on the quantum group Eq(2) is given. Mathematics Subject Classification: 16T05, 06B15, 17B37

In a regular category $$\mathbb {E}$$ , the direct image along epimorphism f of preorder is not in general. Set, its best approximation then cocartesian above f. category, existence such S actually equivalent to supremum $$R[f]\vee S$$ among preorders. We investigate here some conditions ensuring these images or equivalently suprema. They apply two very dissimilar contexts: any topos with supre...

Symmetric and k-cyclic structure of modal pseudocomplemented De Morgan algebras was introduced previously. In this paper, we first present the construction epimorphisms between finite symmetric (or 2-cyclic) algebras. Furthermore, compute cardinality set all epimorphism structures. Secondly, free on variety display how our computations are in fact generalizations to others literature. Our work ...