Partition of the complement of good semigroup ideals and Apéry sets

2021 ◽  
pp. 1-30
Author(s):  
L. Guerrieri ◽  
N. Maugeri ◽  
V. Micale
Keyword(s):  
Apéry Sets ◽  
Good Semigroup

scholarly journals Apery Sets of Numerical Semigroups#

2005 ◽  
Vol 33 (10) ◽  
pp. 3831-3838 ◽  
Author(s):  
Monica Madero-Craven ◽  
Kurt Herzinger
Keyword(s):  
Numerical Semigroups ◽  
Apéry Sets

scholarly journals On the Apéry sets of monomial curves

2012 ◽  
Vol 86 (2) ◽  
pp. 289-320 ◽  
Author(s):  
Teresa Cortadellas Benítez ◽  
Raheleh Jafari ◽  
Santiago Zarzuela Armengou
Keyword(s):  
Monomial Curves ◽  
Apéry Sets

Elasticity in Apéry Sets

2020 ◽  
Vol 127 (8) ◽  
pp. 744-749
Author(s):  
Jackson Autry ◽  
Tara Gomes ◽  
Christopher O’Neill ◽  
Vadim Ponomarenko
Keyword(s):  
Apéry Sets

scholarly journals THE SHORT RESOLUTION OF A SEMIGROUP ALGEBRA

2017 ◽  
Vol 96 (3) ◽  
pp. 400-411 ◽  
Author(s):  
I. OJEDA ◽  
A. VIGNERON-TENORIO
Keyword(s):  
Semigroup Algebra ◽  
Numerical Semigroups ◽  
Frobenius Numbers ◽  
Affine Semigroups ◽  
Affine Semigroup ◽  
Lattice Ideal ◽  
Apéry Sets

This work generalises the short resolution given by Pisón Casares [‘The short resolution of a lattice ideal’, Proc. Amer. Math. Soc.131(4) (2003), 1081–1091] to any affine semigroup. We give a characterisation of Apéry sets which provides a simple way to compute Apéry sets of affine semigroups and Frobenius numbers of numerical semigroups. We also exhibit a new characterisation of the Cohen–Macaulay property for simplicial affine semigroups.

Numerical semigroups: Apéry sets and Hilbert series

2009 ◽  
Vol 79 (2) ◽  
pp. 323-340 ◽  
Author(s):  
Jorge L. Ramírez Alfonsín ◽  
Øystein J. Rødseth
Keyword(s):  
Hilbert Series ◽  
Numerical Semigroups ◽  
Apéry Sets

scholarly journals Apéry sets of shifted numerical monoids

2018 ◽  
Vol 97 ◽  
pp. 27-35 ◽  
Author(s):  
Christopher O'Neill ◽  
Roberto Pelayo
Keyword(s):  
Apéry Sets

Arf good semigroups

2018 ◽  
Vol 17 (10) ◽  
pp. 1850182 ◽  
Author(s):  
Giuseppe Zito
Keyword(s):  
Numerical Semigroup ◽  
Arf Numerical Semigroup ◽  
Good Semigroup ◽  
Arf Semigroups

In this paper, we study the property of the Arf good subsemigroups of [Formula: see text], with [Formula: see text]. We give a way to compute all the Arf semigroups with a given collection of multiplicity branches. We also deal with the problem of determining the Arf closure of a set of vectors and of a good semigroup, extending the concept of characters of an Arf numerical semigroup to Arf good semigroups.

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