UNIQUELY PRESENTED FINITELY GENERATED COMMUTATIVE MONOIDS

被引：26
|
作者：
Garcia-Sanchez, Pedro A. [1 ]
Ojeda, Ignacio [2 ]
机构：
[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain
[2] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2010年 / 248卷 / 01期
关键词：
commutative monoid; affine semigroup; numerical semigroup; congruences; minimal presentation; Betti numbers; indispensability; gluing of semigroups; MINIMAL SYSTEMS; SEMIGROUPS; IDEALS; PRESENTATIONS;
D O I：
10.2140/pjm.2010.248.91
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A finitely generated commutative monoid is uniquely presented if it has a unique minimal presentation. We give necessary and sufficient conditions for finitely generated, combinatorially finite, cancellative, commutative monoids to be uniquely presented. We use the concept of gluing to construct commutative monoids with this property. Finally, for some relevant families of numerical semigroups we describe the elements that are uniquely presented.
引用
收藏
页码：91 / 105
页数：15
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