The hyperrings of order 3.
The image of multilinear polynomials evaluated on upper triangular matrices
We describe the images of multilinear polynomials of arbitrary degree evaluated on the upper triangular matrix algebra over an infinite field.
The importance of rational extensions
The rational completion of an -module can be characterized as a -injective hull of with respect to a (hereditary) torsion functor depending on . Properties of a torsion functor depending on an -module are studied.
The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.
The Indecomposable Representations of the Dihedral 2-Groups.
The intersection of distinct Galois subrings is not necessarily Galois
The invariant subrings of DeMeyer-Kanzaki Galois extensions.
The inverse function theorem for free associative algebras.
The inverse semigroup of a sumordered semiring.
The irreducible components of the nilpotent associative algebras.
The aim of this work is to describe the irreducible components of the nilpotent complex associative algebras varieties of dimension 2 to 5 and to give a lower bound of the number of these components in any dimension.
The isomorphic description of torsion units in commutative group rings over fields with positive characteristic.
The Jacobson radical of edomorphism rings of totally projective groups of finite type.
The Jacobson radical of some endomorphism rings.
The Jordan-Hölder theorem for semirings.
The object of this paper is to prove the Green and Jordan-Hölder theorems in semirings. We follow Rees [11], Green [5], Clifford and Preston [2]. This work is similar to [7] and generalizes [8] and [9]. Although some proofs are parallel to those for semigroups, we explain them here to obtain a complete and self-contained exposition.
The kernel of an homomorphism of Harish-Chandra
The Kiew Algorithm for bocses applies directly to representation-finite algebras.
The Krull radical, k-primitive rings, and critical rings.
The Krull-Gabriel Dimension of the Representation Theory of a Tame Hereditary Artin Algebra and Applications to the Structure of Exact Sequences.
The Künneth Formula in Cyclic Homology.
The lattice R-tors for perfect rings.