Abstract
Let be an inaccessible cardinal, universal algebra, and ∼ the equivalence relation on U κ of eventual equality. From mild assumptions on we give general constructions of End (U κ / ∼) satisfying E=E which do not descend from Δ (U κ) having small strong supports. As an application, there exists an E End (Z κ / ∼) which does not come from a Δ End (Z κ).
| Original language | English |
|---|---|
| Pages (from-to) | 955-971 |
| Number of pages | 17 |
| Journal | Forum Mathematicum |
| Volume | 36 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Jul 2024 |
Bibliographical note
Publisher Copyright:© 2024 Walter de Gruyter GmbH, Berlin/Boston.
Keywords
- Endomorphism
- idempotence
- inaccessible cardinal