2-Algebras and Simplicial Commutative Algebras

Abstract

In [1] it was defined the notion of 2-algebra as a categorification of algebras, and shown that the category of strict 2-algebras is equivalent to the category of crossed modules in commutative algebras. In this paper we show that the category of strict 2-algebras is equivalent to the category of simplicial algebras with Moore complex of length 1. }

Keywords

• 2-categories
• Crossed modules
• Homotopy

References

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