Related papers: A brief introduction to amenable equivalence relat…

This short survey article reviews current understand- ing of the structure of noetherian Hopf algebras. The focus is on homological properties. A number of open problems are listed.

This paper is a very brief introduction to idempotent mathematics and related topics.

This is a survey on stated skein algebras and their representations.

Some examples and basic properties of ultrametric spaces are briefly discussed.

This short note is an "elementary'' introduction to the conjectural theory of motives.

We illustrate some simple ideas that can be used for obtaining a classification of small-dimensional solvable Lie algebras.Using these we obtain the classification of 3 and 4 dimensional solvable Lie algebras (over fields of any…

The goal of this article is to study results and examples concerning finitely presented covers of finitely generated amenable groups. We collect examples of groups $G$ with the following properties: (i) $G$ is finitely generated, (ii) $G$…

The paper contained a preliminary version of a general theory of reciprocity laws on vector spaces.

The aim of this paper is to give an introduction to our axiomatic logical analysis of relativity theories.

We adapt the notion of quasi-Hermition group to the pairs $(G,H)$ of discrete group $G$ and its subgroup $H$. We show that a quasi-Hermitian pair is amenable in the sense of Eymard.

We describe rings over which every right module is almost injective. We give a description of rings over which every simple module is a almost projective.

This paper continues the investigation of Esslamzadeh and the first author which was begun in [7]. It is shown that homomorphic image of an approximately cyclic amenable Banach algebra is again approximately cyclic amenable. Equivalence of…

This is a survey of our work on embedded minimal disks.

The notion of computable reducibility between equivalence relations on the natural numbers provides a natural computable analogue of Borel reducibility. We investigate the computable reducibility hierarchy, comparing and contrasting it with…

A new characterization of conformal transformations is given. By use of this, the general form of conformal transformation on two-dimensional Minkowski space is given and its conformal structure is analyzed.

This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications.

(1) There is a finitely presented group with a word problem which is a uniformly effectively inseparable equivalence relation. (2) There is a finitely generated group of computable permutations with a word problem which is a universal…

We review principal results on axiomatizability of classes of lattices of equivalences

We describe all binary simple homogeneous structures M in terms of 0-definable equivalence relations on M, which "coordinatize" M and control dividing, and extension properties that respect these equivalence relations.

In this article we discuss a generalized Wirtinger inequality.