Minimal presentations for monoids with the ascending chain condition on principal ideals

作者：Bullejos M; Garcia Sanchez P A^*

来源：Semigroup Forum, 2012, 85(1): 185-190.

DOI：10.1007/s00233-011-9336-4

• Monoid
• Ascending condition on principal ideals
• Minimal presentations
• Betti elements
• Catenary degree
• Sets of distances

We show that the natural way to extend several key results concerning minimal presentations for finitely generated commutative cancellative reduced monoids, is to replace the finitely generated condition by the ascending chain condition on principal ideals.

• 出版日期2012-8