The algebra of the subspace semigroup of $M_{2}({\Bbb F}_q)$
Volume 92 / 2002
Colloquium Mathematicum 92 (2002), 131-139
MSC: Primary 20M25, 16S36; Secondary 20M20, 16P10.
DOI: 10.4064/cm92-1-11
Abstract
The semigroup $S=S(M_{2}({\mathbb F}_{q}))$ of subspaces of the algebra $M_{2}({\mathbb F}_{q})$ of $2\times 2$ matrices over a finite field ${\mathbb F}_{q}$ is studied. The ideal structure of $S$, the regular $\cal J$-classes of $S$ and the structure of the complex semigroup algebra ${\mathbb C}[S]$ are described.
