Related papers: Structural Properties of ${\cal R}_2$ Part I

This is the second of two papers establishing structural properties of ${\cal R}_2$.

In this work we develop some categorical aspects of the double structure of a module.

This note is the sequel of "Geometric structures as variational objects, I." It generalizes the main result and perspectives of that work to a class of geometric structures that includes integrable almost-complex structures.

Continuing from part (I), we develop properties of real intersection theory that turns out to be an extension of the well-established theory in algebraic geometry.

The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.

The paper summarizes the construction of pairings on some standard spectral sequences in algebraic topology.

The q-classical orthogonal polynomials of the q-Hahn Tableau are characterized from their orthogonality condition and by a first and a second structure relation. Unfortunately, for the q-semiclassical orthogonal polynomials (a…

In this paper, we study various properties of matroidal ideals.

A new type of sectional curvature is introduced. The notion is purely algebraic and can be located in linear algebra as well as in differential geometry.

We study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degrees for formulas and theories with respect to given properties…

In this paper we give the functional characteristics of the Rothberger and Menger properties.

In this paper, we gave some properties of binomial coefficient.

This paper is devoted to a discussion of specific properties of invariants in the theory of forms.

This paper is concerned with analysis on metric spaces in a variety of settings and with several kinds of structure.

This article is the second in the series and is devoted to the type G_2. The work consists of two parts. In the first part we calculate the structure constants of the complex simple Lie algebra of type G_2. All structure constants are…

Experimental results on hadronic structures are discussed in view of our physics understanding. Achievements and challenges are noted.

The consrtuction of self-similar fuctions in $L_2[0,1]$ is described. Some properties of such funtions (boundness of variation, continuity etc.) is obtained.

In this article we introduce the {\it cylindrical construction} for graphs and investigate its basic properties. We state a main result claiming a weak tensor-like duality for this construction. Details of our motivations and applications…

We present the structural constants of low dimensional pseudo $H$-type algebras.

Two main topics are considered: The characterisation of finite homomorphism dualities for relational structures, and the splitting property of maximal antichains in the homomorphism order.