The algebra of the subspace semigroup of $M_{2}({\Bbb F}_q)$
Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 131-139
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
semigroup mathbb subspaces algebra mathbb times matrices finite field mathbb studied ideal structure regular cal j classes structure complex semigroup algebra mathbb described
Affiliations des auteurs :
Jan Okni/nski 1
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author = {Jan Okni/nski},
title = {The algebra of the subspace semigroup of $M_{2}({\Bbb F}_q)$},
journal = {Colloquium Mathematicum},
pages = {131--139},
publisher = {mathdoc},
volume = {92},
number = {1},
year = {2002},
doi = {10.4064/cm92-1-11},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-11/}
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Jan Okni/nski. The algebra of the subspace semigroup of $M_{2}({\Bbb F}_q)$. Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 131-139. doi: 10.4064/cm92-1-11
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