Tauvel's height formula in iterated differential operator rings.
The algebra of the subspace semigroup of
The semigroup of subspaces of the algebra of 2 × 2 matrices over a finite field is studied. The ideal structure of S, the regular -classes of S and the structure of the complex semigroup algebra ℂ[S] are described.
The Algebraic and Geometric Classification of Associative Algebras of Dimension Five.
The Armendariz module and its application to the Ikeda-Nakayama module.
The Class Number of Hereditary Orders in Non-Eichler Algebras over Global Fuction Fields.
The coefficient ring of the skew group ring
The Cohomology Ring of a Monomial Algebra.
The Construction of Almost Split Sequences, III: Modules Over Two Classes of Tame Local Algebras.
The derived functors of and protorsion modules
The dimension of a quasi-hereditary algebra
The -graded identities of the Grassmann Algebra
Let be a finite abelian group with identity element and be an infinite dimensional -homogeneous vector space over a field of characteristic . Let be the Grassmann algebra generated by . It follows that is a -graded algebra. Let be odd, then we prove that in order to describe any ideal of -graded identities of it is sufficient to deal with -grading, where , and if . In the same spirit of the case odd, if is even it is sufficient to study only those -gradings such that...
The Gelfand-Kirillov Dimension of a Tensor Product.
The Gelfand-Kirillov dimension of rings with Hopf algebra action.
The global basie dimension of artin rings [Book]
The group of automorphisms of a commutative algebra.
The Heart of Prime Ideals in Ore Extensions.
The hyperrings of order 3.
The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.
The intersection of distinct Galois subrings is not necessarily Galois
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.