𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uniqueness of the Core for Chain-Complete Ordered Sets

✍ Scribed by Bernd S. W. Schröder

Book ID
111564517
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
65 KB
Volume
17
Category
Article
ISSN
0167-8094

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A minimax theorem for chain complete ord
A minimax theorem for chain complete ordered sets
✍ Henry A. Kierstead 📂 Article 📅 1988 🏛 Springer Netherlands 🌐 English ⚖ 513 KB

It is shown that if a chain complete ordered set does not have k+ 1 pairwise disjoint maximal chains for some finite k, then the minimum size of a cutset is equal to the maximum size of a collection of pairwise disjoint maximal chains. This answers a question of Pouzet and Zaguia.

Uniqueness of the implication for totall
Uniqueness of the implication for totally ordered MV-algebras
✍ Néstor G. Martı́nez; Alejandro Petrovich 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 90 KB

It is shown that in a linearly ordered MV-algebra A, the implication is unique if and only if the identity function is the unique De Morgan automorphism on A. Modulo categorical equivalence, our uniqueness criterion recalls Ohkuma's rigidness condition for totally ordered abelian groups. We also sho