The Radius of Convergence of Poincaré Series of Loop Spaces.
The rank of G0 for polycyclic group algebras
The Rational Invariants of the Tame Quivers.
The realization of input-output maps using bialgebras.
The relative dihedral homology of involutive algebras.
The relative Riemann-Roch theorem from Hochschild homology.
The representation dimension of domestic weakly symmetric algebras
Auslander’s representation dimension measures how far a finite dimensional algebra is away from being of finite representation type. In [1], M. Auslander proved that a finite dimensional algebra A is of finite representation type if and only if the representation dimension of A is at most 2. Recently, R. Rouquier proved that there are finite dimensional algebras of an arbitrarily large finite representation dimension. One of the exciting open problems is to show that all finite dimensional algebras...
The representation theory and the branching graph for the family of Turaev algebras .
The representation theory of the Temperley-Lieb algebras.
The resultant of non-commutative polynomials
The ring of invariants of three -matrices over a field of prime characteristic.
The ring of quotients of R(S).
The rings which are Boolean
We study unitary rings of characteristic 2 satisfying identity for some natural number p. We characterize several infinite families of these rings which are Boolean, i.e., every element is idempotent. For example, it is in the case if or or for a suitable natural number n. Some other (more general) cases are solved for p expressed in the form or where q is a natural number and .
The rings which are Boolean. II.
The Robson cubics for matrix algebras with involution.
The Schur Subgroup of a Real Cyclotomic Field.
The Semidirect Products of Finite Cyclic Groups That Are I-E Groups.
The semiring of 1-preserving endomorphisms of a semilattice
We prove that the semirings of 1-preserving and of 0,1-preserving endomorphisms of a semilattice are always subdirectly irreducible and we investigate under which conditions they are simple. Subsemirings are also investigated in a similar way.
The semiring of quotients of commutative semirings
The smallest singularity of a Hilbert series.