good semigroup
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Partition of the complement of good semigroup ideals and Apéry sets

Communications in Algebra ◽

10.1080/00927872.2021.1915325 ◽

2021 ◽

pp. 1-30

Author(s):

L. Guerrieri ◽

N. Maugeri ◽

V. Micale

Keyword(s):

Apéry Sets ◽

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Embedding Dimension of a Good Semigroup

Numerical Semigroups - Springer INdAM Series ◽

10.1007/978-3-030-40822-0_13 ◽

2020 ◽

pp. 197-230 ◽

Author(s):

Nicola Maugeri ◽

Giuseppe Zito

Keyword(s):

Embedding Dimension ◽

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Poincaré Series on Good Semigroup Ideals

Numerical Semigroups - Springer INdAM Series ◽

10.1007/978-3-030-40822-0_20 ◽

2020 ◽

pp. 351-367

Author(s):

Laura Tozzo

Keyword(s):

Poincaré Series ◽

Poincare Series ◽

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The Apéry Set of a Good Semigroup

Springer Proceedings in Mathematics & Statistics - Advances in Rings, Modules and Factorizations ◽

10.1007/978-3-030-43416-8_4 ◽

2020 ◽

pp. 79-104 ◽

Author(s):

Marco D’Anna ◽

Lorenzo Guerrieri ◽

Vincenzo Micale

Keyword(s):

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The Type of a Good Semigroup and the Almost Symmetric Condition

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1467-y ◽

2019 ◽

Vol 17 (1) ◽

Author(s):

Marco D’Anna ◽

Lorenzo Guerrieri ◽

Vincenzo Micale

Keyword(s):

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Arf good semigroups

Journal of Algebra and Its Applications ◽

10.1142/s0219498818501827 ◽

2018 ◽

Vol 17 (10) ◽

pp. 1850182 ◽

Author(s):

Giuseppe Zito

Keyword(s):

Numerical Semigroup ◽

Arf Numerical Semigroup ◽

Good Semigroup ◽

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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