Abstract

ABSTRACTLet 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.

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