Daniel Smertnig

activity

20092026

most citedFactorization theory: From commutative to noncommutative settings

73 citations · 300 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.AC2017★ 11 cited

Factoriality and class groups of cluster algebras

Ana Garcia Elsener, Philipp Lampe, Daniel Smertnig

Locally acyclic cluster algebras are Krull domains. Hence their factorization theory is determined by their (divisor) class group and the set of classes containing height-1 prime i…

math.RA2017★ 13 cited

Arithmetical invariants of local quaternion orders

Nicholas R. Baeth, Daniel Smertnig

Let $D$ be a DVR, let $K$ be its quotient field, and let $R$ be a $D$ -order in a quaternion algebra $A$ over $K$ . The elasticity of $R^{∙}$ is $ρ(R^\bullet) = \sup\{\, k/l : u_…