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The algebra of the subspace semigroup of $M ₂ (_{q})$

Jan Okniński (2002)

Colloquium Mathematicae

The semigroup $S = S (M ₂ (_{q}))$ of subspaces of the algebra $M ₂ (_{q})$ of 2 × 2 matrices over a finite field $_{q}$ 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.

Guerino Mazzola (1979)

Manuscripta mathematica

The Class Number of Hereditary Orders in Non-Eichler Algebras over Global Fuction Fields.

Marleen Denert, Jan Van Geel (1988)

Mathematische Annalen

The Cohomology Ring of a Monomial Algebra.

E.L. Green, D. Zacharia (1994)

Manuscripta mathematica

The Construction of Almost Split Sequences, III: Modules Over Two Classes of Tame Local Algebras.

M.C.R. Butler, M. Shahzamanian (1980)

Mathematische Annalen

The dimension of a quasi-hereditary algebra

Vlastimil Dlab, Claus Michael Ringel (1990)

Banach Center Publications

The Gelfand-Kirillov Dimension of a Tensor Product.

Robert B. Jr. Warfield (1984)

Mathematische Zeitschrift

The group of automorphisms of a commutative algebra.

Fransisco Guil-Asensio, Manuel Saorín (1995)

Mathematische Zeitschrift

The hyperrings of order 3.

Bayon, R., Lygeros, N. (2008)

Journal of Integer Sequences [electronic only]

The Indecomposable Modular Representations of Certain Groups with Dihedral Sylow Subgroup.

P.W. Donovan, M.-R. Preislich (1978)

Mathematische Annalen

The intersection of distinct Galois subrings is not necessarily Galois

Yousif Al-Khamees (1980)

Compositio Mathematica

The irreducible components of the nilpotent associative algebras.

Abdenacer Makhlouf (1993)

Revista Matemática de la Universidad Complutense de Madrid

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.