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math.CT2018★ 11 cited
Endofunctors and Poincaré-Birkhoff-Witt theorems
Vladimir Dotsenko, Pedro Tamaroff
We determine what appears to be the bare-bones categorical framework for Poincaré-Birkhoff-Witt type theorems about universal enveloping algebras of various algebraic structures. O…
math.KT2018★ 10 cited
Minimal models for monomial algebras
Pedro Tamaroff
Using combinatorics of chains going back to works of Anick, Green, Happel and Zacharia, we give, for any monomial algebra , an explicit description of its minimal model. This al…