The reduction number of canonical ideals

S Kumashiro - Communications in Algebra, 2022 - Taylor & Francis
In this article, we introduce an invariant of Cohen-Macaulay local rings in terms of the
reduction number of canonical ideals. The invariant can be defined in arbitrary Cohen …

On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸5

A Moscariello - Communications in Algebra, 2023 - Taylor & Francis
Full article: On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸5 Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

Almost canonical ideals and GAS numerical semigroups

M D'Anna, F Strazzanti - Communications in Algebra, 2021 - Taylor & Francis
We propose the notion of GAS numerical semigroup which generalizes both almost
symmetric and 2-AGL numerical semigroups. Moreover, we introduce the concept of almost …

Almost symmetric good semigroups

L Casabella, M D'Anna - Ricerche di Matematica, 2023 - Springer
The class of good semigroups is a class of subsemigroups of N h, that includes the value
semigroups of rings associated to curve singularities and their blowups, and allows to study …

[PDF][PDF] On the boundedness of the type of an almost Gorenstein monomial curve in

A Moscariello - arXiv preprint arXiv:2208.14100, 2022 - arxiv.org
arXiv:2208.14100v2 [math.AC] 20 Sep 2022 Page 1 arXiv:2208.14100v2 [math.AC] 20 Sep
2022 ON THE BOUNDEDNESS OF THE TYPE OF AN ALMOST GORENSTEIN MONOMIAL …

[HTML][HTML] Commutative Algebra and Related Topics

RA Maleki - math.ipm.ac.ir
Let k be an algebraically closed field and $ R $ be a standard graded quadratic k-algebra
with $\dim_ {\textbf {k}} R_2\leq 3$. In this lecture we will talk about free resolutions of …