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arxiv: 1410.6838 · v1 · pith:H34PUKHCnew · submitted 2014-10-24 · 🧮 math.RT · math.CT· math.LO· math.RA

Triangle Order leq_(bigtriangleup) in Singular Categories

classification 🧮 math.RT math.CTmath.LOmath.RA
keywords orderbigtriangleupsingulartrianglealgebracategoriescategoryclasses
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We prove that the triangle order $\leq_{\bigtriangleup}$ in the singular category $D_{sg}(A)$ defines a partial order on the set of isomorphism classes of objects in $D_{sg}(A)$ for a finite-dimensional $k$-algebra $A$.

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