10 citations · 10 across the 5 of their papers we have counts for
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The stable category of Gorenstein-projective modules over a monomial algebra
Takahiro Honma, Satoshi Usui
Let be an arbitrary monomial algebra. We investigate the stable category of graded Gorenstein-projective -modules and the or…
When is the silting-discreteness inherited?
Takuma Aihara, Takahiro Honma
We explore when the silting-discreteness is inherited. As a result, one obtains that taking idempotent truncations and homological epimorphisms of algebras transmit the silting-dis…
On representation-finite gendo-symmetric algebras with only one non-injective projective module
Takuma Aihara, Aaron Chan, Takahiro Honma
Motivated by the relation between Schur algebra and the group algebra of a symmetric group, along with other similar examples in algebraic Lie theory, Min Fang and Steffen Koenig a…
-tilting finite triangular matrix algebras
Takuma Aihara, Takahiro Honma
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 -tilting finite. In…
Report on the finiteness of silting objects
Takuma Aihara, Takahiro Honma, Kengo Miyamoto +1
We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, one studies two classes of -tilting-fi…