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Crossed Modules of Algebras as Ideal Maps

2016/02/08 by Alper Odabaş, Odabaş, Alper, Erdal Ulualan +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1602.02482

openalex publication_date 2016/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we explore the close relationship between an ideal map structure S --> End(R) on a homomorphism of commutative k-algebras R --> S and an ideal simplicial algebra structure on the associated bar construction Bar(S, R).

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