How to check if a finitely generated commutative monoid is a principal ideal commutative monoid

被引：1
|
作者：
Rosales, Jose Carlos [1 ]
Garcia-Sanchez, Pedro A. [1 ]
Garcia-Garcia, Juan Ignacio [1 ]
机构：
[1] Universidad de Granada, Granada, Spain
来源：
Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC | 2000年
关键词：
Algorithms - Linear algebra - Set theory;
D O I：
10.1145/345542.345655
中图分类号：
学科分类号：
摘要：
Commutative monoids are characterized to satisfy the condition that all ideals are principal. Monoids which are principal ideal monoids (PIM) were characterized and special attention was paid to finitely generated monoids. This characterization was used to construct an algorithm for deciding whether a finitely generated commutative monoid satisfied the condition.
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页码：288 / 291
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