Mark Kleiner and Markus Reitenbach (PhD '05)
Abstract: Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial construction of the derived set and for the differentiation functor.
Journal: Journal of Algebra 353 (2012), 224–248
URL: http://dx.doi.org/10.1016/j.jalgebra.2011.12.018