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$τ$-tilting finite triangular matrix algebras (2011.02085v2)
Published 4 Nov 2020 in math.RT and math.RA
Abstract: First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is $\tau$-tilting finite. In particular, we classify algebras over which triangular matrix algebras are $\tau$-tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete.
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