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Summary Of: Incidence algebra

An incidence algebra is analogous to a... both the group algebra and the incidence algebra are special cases of a... of an incidence algebra is the constant function... of the incidence algebra is invertible if and only if... The delta function in this incidence algebra similarly corresponds to the formal power series 1... Any member of an incidence algebra that assigns the same value to any two intervals that are isomorphic to each other... Any element of the reduced incidence algebra that is invertible in the larger incidence algebra has its inverse in the reduced incidence...

Encyclodia Page On: Incidence algebra

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order theory | mathematics | associative algebra | partially ordered set | commutative ring | interval | finite | functions | scalars | ring | convolution | partially ordered set | group algebra | categorical algebra | groups | posets | categories | Möbius inversion | divisibility | Möbius function | subsets | principle of inclusion-exclusion | difference operator | formal power series | partitions | Euler characteristic | generating functions | Gian-Carlo Rota | 1964 | combinatorialists | Categories | Combinatorics | Order theory |
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