This paper is a survey including some announcements of our results and the detailed
version will be submitted to somewhere else. Also, this is a continuation of our survey article …

(2) We write H=\{n_ {1},..., n_ {e}\rangle if H=\displaystyle\{\sum a_ {i} n_ {i}| a_ {i}\in\mathbb
{N}\} and we say that H is generated by\{n_ {1},\cdots, n_ {e}\}. Furthermore, we denote by …

We give a criterion for almost Gorenstein property for semigroup rings associated with
simplicial semigroups. We extend Nari's theorem for almost symmetric numerical …

This paper studies Young diagrams of symmetric and pseudo-symmetric numerical
semigroups and describes new operations on Young diagrams as well as numerical …

Symmetric numerical semigroups are probably the numerical semigroups that have been
most studied in the literature. The motivation and introduction of these semigroups is due …

(2) S is almost symmetric if and only if ai+ am+ 1-i= am and bj+ bt (S)-j= am+ e and also if
and only if fi+ ft (S)-i= f (S), where the fi are the pseudo–frobenius numbers of S listed in …

This paper is focused on numerical semigroups and presents a simple construction, that we
call “dilatation”, which, from a starting semigroup S, permits to get an infinite family of …

We prove that the type of nearly Gorenstein numerical semigroups minimally generated by
$5 $ integers is bounded. In particular, if such a semigroup is not almost symmetric, then its …

The stratification of the space between Cohen-Macaulay rings and Gorenstein rings has
been an active area of research. Various classes of rings have been introduced (almost …

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 …