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ACS
2010
13 years 10 months ago
Sheaves as Modules
We explain the precise relationship between two module-theoretic descriptions of sheaves on an involutive quantale, namely the description via so-called Hilbert structures on modu...
Pedro Resende, Elias Rodrigues
ACS
2010
13 years 11 months ago
TTF Triples in Functor Categories
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...
Lidia Angeleri Hügel, Silvana Bazzoni
ACS
2010
13 years 11 months ago
A Representation Theorem for Geometric Morphisms
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...
Christopher F. Townsend
ACS
2010
13 years 11 months ago
Graded and Koszul Categories
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...
Roberto Martínez-Villa, Øyvind Solbe...
ACS
2010
13 years 11 months ago
Lawvere Completion and Separation Via Closure
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...
Dirk Hofmann, Walter Tholen
ACS
2010
13 years 11 months ago
Sequentially Dense Essential Monomorphisms of Acts Over Semigroups
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...
M. Mahmoudi, L. Shahbaz
ACS
2010
13 years 11 months ago
Fibrations of Simplicial Sets
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, ...
Tibor Beke
ACS
2010
13 years 11 months ago
Exact Sequences and Closed Model Categories
Mónica García-Pinillos, Luis Javier ...