Two rings connected with the inclusion-exclusion principle

DOI10.1016/0097-3165(78)90069-9zbMath0392.05009OpenAlexW1972252310MaRDI QIDQ1251662

Gian-Carlo Rota, Ottavio M. D'Antona

Publication date: 1978

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(78)90069-9

zbMATH Keywords

RingsFinite Collection of SubsetsFree RingInclusion-Exclusion PrincipleQuotient RingSegment RingSquare-Free Ring

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items (6)

Combinatorial properties of the factorial ring ⋮ The inclusion-exclusion principle ⋮ On the probability of a Boolean polynomial of events ⋮ A ring underlying probabilistic identities ⋮ Connecting two rings underlying the inclusion-exclusion principle ⋮ Ultimate chromatic polynomials

Cites Work

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• Quelques remarques sur les probabilités des événements dépendants
• Bonferroni inequalities
• Methods for Proving Bonferroni Type Inequalities

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