The aim of this paper is to report on some computations of Hochschild cohomology and fundamental groups of incidence algebras.

The aim of this paper is to compute the Hochschild cohomology groups of particular of algebras associated to partially ordered sets. © 2003 Elsevier Science Inc. All rights reserved.

We investigate to what extent homotopy invariant, excisive and matrix stable homology theories help one distinguish between the Leavitt path algebras L.E/ and L.F / of graphs E and F over a commutative ground ring `. We ...

Given an algebra A, we associate an incidence algebra A(Σ) and compare their Hochschild cohomology groups.

In this thesis we prove the following restricted version of Zilber's Trichotomy: Let $K=(K,+,\cdot,v,\Gamma)$ be an algebraically closed valued field and let $(G,\+)$ be a K$-definable group that is either the multiplicative ...

We consider locally nilpotent subgroups of units in basic tiled rings A, over local rings O which satisfy a weak commutativity condition. Tiled rings are generalizations of both tiled orders and incidence rings. If, in ...

This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems: 1. How is it possible ...