ACS
2010
13 years 11 months ago
2010
We characterize the hereditary torsion pairs of finite type in the functor category of a ring R associated to tilting torsion pairs in the category of R-modules. Moreover, we deter...
ACS
2010
13 years 11 months ago
2010
It it shown that geometric morphisms between elementary toposes can be represented as certain adjunctions between the corresponding categories of locales. These adjunctions are ch...
ACS
2010
13 years 11 months ago
2010
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel paper...
ACS
2010
13 years 11 months ago
2010
For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a to...
ACS
2010
13 years 11 months ago
2010
ACS
2010
13 years 11 months ago
2010
The class Md of sequentially dense monomorphisms were first defined and studied by Giuli, Ebrahimi, and Mahmoudi for projection algebras (acts over the monoid (N , min), of interes...
ACS
2010
13 years 11 months ago
2010
There are infinitely many variants of the notion of Kan fibration that, together with suitable choices of cofibrations and the usual notion of weak equivalence of simplicial sets, ...
ACS
2010
13 years 11 months ago
2010
ACS
2010
13 years 11 months ago
2010
The theory of combinatorial differential forms is usually presented in simplicial terms. We present here a cubical version; it depends on the possibility of forming affine combina...
ACS
2010
13 years 11 months ago
2010
: Bisets can be considered as categories. This note uses this point of view to give a simple proof of a Mackey-like formula expressing the tensor product of two induced bimodules. ...