ABSTRACT
Let k be a field and let be a partial order on the set
. If G is a group, we classify the good G-gradings on the associated structural matrix algebra
as the orbits of the action of the automorphism group of
on a certain set of functions. We explicitly count the number of isomorphism types of good gradings in some cases where G is finite and the graph associated with
has a cyclic associated undirected graph.
Disclosure statement
No potential conflict of interest was reported by the authors.