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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-11,
author = {Jan Okni\'nski},
title = {The algebra of the subspace semigroup of $M2(\_{q})$
},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {131-139},
zbl = {0997.20058},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-11}
}
Jan Okniński. The algebra of the subspace semigroup of $M₂(_{q})$
. Colloquium Mathematicae, Tome 91 (2002) pp. 131-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-11/