1 citations · 1 across the 5 of their papers we have counts for
5 papers
Cohen-Macaulay pairs
Rafael Holanda, Cleto B. Miranda-Neto
The main purpose of this note is to extend and establish a new approach to the concept of (relative) Cohen-Macaulayness, by investigating the cohomological dimension as well as the…
Tensor products and solutions to two homological conjectures for Ulrich modules
Cleto B. Miranda-Neto, Thyago S. Souza
We address the problem of when the tensor product of two finitely generated modules over a Cohen-Macaulay local ring is Ulrich in the generalized sense of Goto et al., and in parti…
Dao's question on the asymptotic behaviour of fullness
Cleto B. Miranda-Neto, Douglas S. Queiroz
For a local ring $(R, \M)$ of infinite residue field and positive depth, we address the question raised by H. Dao on how to control the asymptotic behaviour of the $\M$-full, full,…
Generalized Hartshorne's problem on finiteness properties of local cohomology modules
André Dosea, Rafael Holanda, Cleto B. Miranda-Neto
Our main goal in this paper is to answer new positive cases of the natural generalized version of Hartshorne's celebrated question on cofiniteness of local cohomology modules, and…
Free divisors, blowup algebras of Jacobian ideals, and maximal analytic spread
Ricardo Burity, Cleto B. Miranda-Neto, Zaqueu Ramos
Free divisors form a celebrated class of hypersurfaces which has been extensively studied in the past fifteen years. Our main goal is to introduce four new families of homogeneous…