Simplicial algebroids and internal categories within \(R\)-algebroids

DOI10.32513/tbilisi/1585015224zbMath1442.18012OpenAlexW3013031232MaRDI QIDQ2179933

Erdal Ulualan, Özgün Gürmen Alansal

Publication date: 13 May 2020

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tbilisi/1585015224

zbMATH Keywords

crossed modulesMoore complexsimplicial algebras

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50) Structured objects in a category (group objects, etc.) (18C40)

Cites Work

• Modules croisés généralisés de longueur 2
• Homology of commutative algebras and an invariant of Simis and Vasconcelos
• Van Kampen theorems for diagrams of spaces
• Freeness conditions for 2-crossed modules of commutative algebras
• Rings with several objects
• Simplicial methods and the interpretation of “triple” cohomology
• Some applications of module theory to functor categories
• Combinatorial homotopy. I
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