Symmetric Boolean Algebras

2006/12/05 by Rafael Díaz, Diaz, Rafael, Mariolys Rivas +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.math/0612134

openalex publication_date 2006/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define Boolean algebras in the linear context and study its symmetric powers. We give explicit formulae for products in symmetric Boolean algebras of various dimensions. We formulate symmetric forms of the inclusion-exclusion principle.

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