2008/08/26 by Ridha Chatbouri, Chatbouri, Ridha
Mathematics · #13D03 #16E40 #17B56 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.0808.3570
openalex publication_date 2008/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an unified construction for algebras and modules homologies and cohomologies, in the case of associative, commuttaive, Lie and Gerstenhaber algebras. We make a distinction between the linear part of the construction of algebras and cogebras, characterized by the symmetries of the defining relations and the structure itself which appears as a differential on these algebras and cogebras.