On Incidence Algebras of Combinatorial Inverse Monoids

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“…Ряд примеров показывает, что некоторые категории Мёбиуса возникают как остовы категорий деления комбинаторных обратных моноидов (см [9,10]…”

The representation theory of the incidence algebra of an inverse semigroup

“…In this chapter, we study the incidence algebra of an inverse semigroup with a particular focus on its radical. The incidence algebra of an inverse semigroup was first introduced by Schwab in a series of papers [55][56][57][58][59] in the context of combinatorics.…”

“…Incidence algebras have been generalized to other structures such as monoids [6] and graphs [27]. In a recent series of apers [55][56][57][58][59], E. Schwab has introduced the incidence algebra kL(S) of an inverse semigroup S over a field k. His motivation again came from combinatorics. The notation L is used in this thesis because the incidence algebra of an inverse semigroup is closely related to a small category considered by Loganathan in [30].…”