Unfailing completion is a commonly used technique for equational reasoning. For equational problems with associative and commutative functions, unfailing completion often generate...
Prime objects were defined as generalization of simple objects in the categories of rings (modules). In this paper we introduce and investigate what turns out to be a suitable gen...
We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L-algebras. We give an alternate proof that the category of symmetric brace algebras is...
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new hom...
In this paper we introduce and study a cohomology theory {Hn(-, A)} for simplicial sets with coefficients in symmetric categorical groups A. We associate to a symmetric categorical...