A Combinatorial Definition of n-Types of Simplicial Commutative Algebras

In this paper, we will give a description of the functor from the category of crossed n-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on n-types of simplicial groups.

A Combinatorial Definition of n-Types of Simplicial Commutative Algebras

In this paper, we will give a description of the functor from the category of crossed n-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on n-types of simplicial groups.