Let K be an algebraically closed field and A be a finite dimensional algebra over K. In this paper we give a classification of biserial incidence algebras with quiver methods.
This paper gives a complete classification of (Δ)-finite twisted double incidence algebras of posets in the case where the Hasse quivers of posets are of type An.
A useful reduction is presented to determine the finiteness of Δ -good module category F(Δ) of a quasi-hereditary algebra.As an application of the reduction, the F(Δ) -finiteness of quasihereditary M-twis...A useful reduction is presented to determine the finiteness of Δ -good module category F(Δ) of a quasi-hereditary algebra.As an application of the reduction, the F(Δ) -finiteness of quasihereditary M-twisted double incidence algebras of posets is discussed. In particular, a complete classification of F(Δ)- finite M-twisted double incidence algebras is given in case the posets are linearly ordered.展开更多
基金Foundation item： Supported by the National Natural Science Foundation of China（11271119） Supported by the Natural Science Foundation of Beijing（1122002）
文摘Let K be an algebraically closed field and A be a finite dimensional algebra over K. In this paper we give a classification of biserial incidence algebras with quiver methods.
文摘This paper gives a complete classification of (Δ)-finite twisted double incidence algebras of posets in the case where the Hasse quivers of posets are of type An.
文摘A useful reduction is presented to determine the finiteness of Δ -good module category F(Δ) of a quasi-hereditary algebra.As an application of the reduction, the F(Δ) -finiteness of quasihereditary M-twisted double incidence algebras of posets is discussed. In particular, a complete classification of F(Δ)- finite M-twisted double incidence algebras is given in case the posets are linearly ordered.
