Characterization for the party algebras
Masashi Kosuda, 雅 小須田 · University of the Ryukyus academic repository (University of the Ryukyus) · 2000
Suppose that there exist two parties each of which consists of n members. The parties hold meetings splitting into several small groups. Every group consists of the members of each party of the same number. The set of such decompositions into small groups makes an algebra called the party algebra under a certain product. We give a characterization for the party algebras by generators and relations.