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Conditions for Permutability of Congruences in Implication Algebras

✍ Scribed by Diego N. Castaño; José Patricio Díaz Varela


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
294 KB
Volume
26
Category
Article
ISSN
0167-8094

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Uniqueness of the implication for totall
✍ 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