Cristodor Ionescu

q-Torsion freeness of symmetric powers

Letq be an integer ≥1, we study theq-torsion freeness of the symmetric powers of a module of projective dimension ≥2, by using the approximation complex of the module.

Hochschild homology of a topological algebra and formal smoothness

In this note we will prove that the Hochschild homology algebra of a topological algebra and its universally complete differential algebra are isomorphic in the case of a formally smooth morphism

TENSOR PRODUCTS AND DIRECT LIMITS OF ALMOST COHEN-MACAULAY MODULES

We investigate the almost Cohen–Macaulay property and the Serre-type condition (Cn),n ∈ ℕ, for noetherian algebras and modules. More precisely, we find permanence properties of these conditions wit...

Flat local morphisms of rings with prescribed depth and dimension

Abstract For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.

Some Applications of André–Quillen Homology to Classes of Arithmetic Rings

We compute the first André–Quillen homology modules for the simple over-rings of integrally closed domains and study an ideal theoretic condition arising from the vanishing of H 1.