60 citations · 60 across the 3 of their papers we have counts for
3 papers
math.CT2026
Lax Distributivity and a Characterization of Abelian Categories
Martin Markl, Dominik Trnka
We show that abelian categories can be characterized as structures consisting of a colax algebra and a lax algebra connected by a lax mixed rewriting rule. To this end we develop a…
math.CT2026
Kernels, lax algebras, décalage, and supercoherence
Martin Markl, Dominik Trnka
We prove that a pointed category has kernels if and only if it is a lax algebra for the arrow 2-monad, and that this holds if and only if it is the décalage of a supercoherent stru…
math.AG2006★ 60 cited
Wheeled PROPs, graph complexes and the master equation
M. Markl, S. Merkulov, S. Shadrin
We introduce and study wheeled PROPs, an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence oper…