The algebra of the subspace semigroup of $M₂(𝔽_{q})$

• Autorzy: Jan Okniński
• Języki publikacji: EN

Abstrakty

EN

The semigroup $S = S(M₂(𝔽_{q}))$ of subspaces of the algebra $M₂(𝔽_{q})$ of 2 × 2 matrices over a finite field $𝔽_{q}$ is studied. The ideal structure of S, the regular 𝒥-classes of S and the structure of the complex semigroup algebra ℂ[S] are described.

Kategorie tematyczne

• 20M25: Semigroup rings, multiplicative semigroups of rings
• 16P10: Finite rings and finite-dimensional algebras
• 20M20: Semigroups of transformations, etc.
• 16S36: Ordinary and skew polynomial rings and semigroup rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 1
• Strony: 131-139

Daty

wydano

2002

Twórcy

autor

Jan Okniński

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm92-1-11