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/