42 citations · 240 across the 49 of their papers we have counts for
7 papers · 1 filter
Interchanging homotopy limits and colimits in CAT
Guillermo Cortiñas
Let , be small categories and $C:I\times J@>>>\CAT$ a functor to the category of small categories. We show that if has a final object then the canonical map $\operatornam…
The structure of smooth algebras in Kapranov's framework for noncommutative geometry
Guillermo Cortiñas
In Kapranov, M. {\it Noncommutative geometry based on commutator expansions,} J. reine angew. Math {\bf 505} (1998) 73-118, a theory of noncommutative algebraic varieties was propo…
An explicit formula for PBW quantization
Guillermo Cortiñas
Let be a field of characteristic zero, $\g$ a -Lie algebra, $e:S\g@>>>U\g$ the symmetrization map. The PBW quantization is the one parameter family of associative products:…
On the derived functor analogy in the Cuntz-Quillen framework for cyclic homology
Guillermo Cortiñas
Cuntz and Quillen have shown that for algebras over a field with , periodic cyclic homology may be regarded, in some sense, as the derived functor of (non-commutativ…
Artinian algebras and differential forms
Guillermo Cortiñas, Fabiana Krongold
This article concerns commutative algebras over a field of characteristic zero which are finite dimensional as vectorspaces, and particularly those of such algebras which are g…
Cyclic homology of commutative algebras over general ground rings
Guillermo Cortiñas
We consider commutative algebras and chain DG algebras over a fixed commutative ground ring as in the title. We are concerned with the problem of computing the cyclic (and Hoch…