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
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.
