Incidence Algebras as Algebras of Endomorphisms
نویسنده
چکیده
Vx = {yeP:xSy} is the principal filter generated by x. The filters on P are easily seen to be the open sets for a topology on P, and the increasing maps from P to another locally finite partially ordered set Q are precisely the continuous functions from P to Q [5]. For each filter V on P, let M(P9 V\ or simply M(V) when reference to P is understood, denote the free abelian group on V. For filters U ç F, let r(V9 U):M(V) -• M(U) be the group homomorphism determined by x H» x if x e U9 x R. 0 if x $ U9
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تاریخ انتشار 2007