A remark on monoidal closed structures on top
A Remark on Projective Dimension of Fiat Modules.
A remark on selective functors
A remark on the generalized smashing conjecture.
A remark on the Morita theorem for operads
We extend a result of M. M. Kapranov and Y. Manin concerning the Morita theory for linear operads. We also give a cyclic operad version of their result.
A Remark on tilting theory and DG algebras.
A remark on topological spaces, grids, and topological systems
A representation of the category of algebras over different monads by the category of algebras over one suitable monad in a category of pointed monads
A representation theorem for certain Boolean lattices.
Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.
A right exactness property for internal categories
A semi-simplicial approach to foliations and their transverse structure [Book]
A set functor which commutes with all homfunctors is a homfunctor
A set of generators for Ext...(k,k).
A sheaf of Boehmians
We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
A sheaf-theoretic view of loop spaces.
A short proof of Eilenberg and Moore’s theorem
In this paper we give a short and simple proof the following theorem of S. Eilenberg and J.C. Moore: the only injective object in the category of groups is the trivial group.
A shrinking of a category of societies is a universal partly ordered class
A simple axiomatics for differentiation.
A simple proof that localic subgroups are closed
A simple symmetry generating operads related to rooted planar -ary trees and polygonal numbers.