-density, -adic completion and -subgeneration
Matrices carrées sur l'algèbre de Weyl
Matrices over upper triangular bimodules and Δ-filtered modules over quasi-hereditary algebras
Let Λ be a directed finite-dimensional algebra over a field k, and let B be an upper triangular bimodule over Λ. Then we show that the category of B-matrices mat B admits a projective generator P whose endomorphism algebra End P is quasi-hereditary. If A denotes the opposite algebra of End P, then the functor Hom(P,-) induces an equivalence between mat B and the category ℱ(Δ) of Δ-filtered A-modules. Moreover, any quasi-hereditary algebra whose category of Δ-filtered modules is equivalent to mat...
Matrix rings with summand intersection property
A ring has right SIP (SSP) if the intersection (sum) of two direct summands of is also a direct summand. We show that the right SIP (SSP) is the Morita invariant property. We also prove that the trivial extension of by has SIP if and only if has SIP and for every idempotent in . Moreover, we give necessary and sufficient conditions for the generalized upper triangular matrix rings to have SIP.
Modules Over Arbitrary Domains.
Modules over arbitrary domains II
Modules Over Matrix Near-Rings and the ...-Radical.
Modules whose countably generated submodules are epimorphic images
Modules with semiregular endomorphism rings
We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
More on matrix near-rings.
Most abelian p-groups are determined by the Jacobson radical of their endomorphism rings.