On a mechanism of defining morphisms in concrete categories
On a question of Pultr regarding categories of structures
On a question of swan in algebraic k-theory
On a sequence of K. A. Hardie
On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces
On a tensor product in initially structured categories
On a theorem of Kontsevich.
On a theory of braided cochains in algebraic topology (Preliminary version). (Sur une théorie des cochaines tresses en topologie algébrique (Version préliminaire ).)
On algebraic models for homotopy 3-types.
On an equivalence of system-theoretical and categorical concepts
On analytic models of synthetic differential geometry
On Arens-Michael algebras which do not have non-zero injective ⨶-modules
A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.
On associated and attached prime ideals of certain modules
Primary and secondary functors have been introduced in [2] and applied to extend some results concerning asymptotic prime ideals. In this paper, the theory of primary and secondary functors is developed and examples of non-exact primary and non-exact secondary functors are presented. Also, as an application, the sets of associated and of attached prime ideals of certain modules are determined.
On Auslander–Reiten components for quasitilted algebras
An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.
On Auslander-Reiten translates in functorially finite subcategories and applications
We consider functorially finite subcategories in module categories over Artin algebras. One main result provides a method, in the setup of bounded derived categories, to compute approximations and the end terms of relative Auslander-Reiten sequences. We also prove an Auslander-Reiten formula for the setting of functorially finite subcategories. Furthermore, we study the category of modules filtered by standard modules for certain quasi-hereditary algebras and we classify precisely when this category...
On *-autonomous categories of topological modules.
On *-autonomous categories of topological vector spaces
On binary coproducts of frames
The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.
On bindability of products and joins of categories
On braiding, syllapses and symmetries