Powers of ordered sets

✍ Scribed by Dwight Duffus

• Publisher: Springer Netherlands
• Year: 1984
• Tongue: English
• Weight: 644 KB
• Volume: 1
• Category: Article
• ISSN: 0167-8094
• DOI: 10.1007/bf00396275

✦ Synopsis

Recently there has been significant progress in the study of powers of ordered sets. Much of this work has concerned cancellation laws for powers and uses these two steps. First, logarithmic operators are introduced to transform cancellation problems for powers into questions involving direct product decomposiGons. Second, refinement theorems for direct product decompositions are brought to bear. Here we present two results with the aim of highlighting these steps. AMS (MOS) subject classification (1980): 06AlO.