The smallest ideals of under addition and multiplication
โ Scribed by Dona Strauss
- Book ID
- 108286274
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 70 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A-module. ''Addition'' refers to being given a surjection P ยธI and producing a surjection P ยธI l I. This is useful, for example, when P is free, to determine how many elements it takes to generate the ideal I l I. ''Subtraction'' หrefers to being given P ยธI l I and producing some P ยธI. A major use o
## Abstract Ordinal addition and multiplication can be extended in a natural way to all sets. I survey the structure of the sets under these operations. In particular, the natural partial ordering associated with addition of sets is shown to be a tree. This allows us to prove that any set has a uni