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On Neat Reducts of Algebras of Logic

✍ Scribed by Tarek Sayed Ahmed; Istvan Németi


Book ID
110313266
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
340 KB
Volume
68
Category
Article
ISSN
0039-3215

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The class of infinite dimensional neat r
✍ Tarek Sayed Ahmed 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 1 views

SC, CA, QA and QEA denote the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasi-polyadic algebras and quasi-polyadic equality algebras, respectively. Let ω ≤ α < β and let K ∈ {SC, CA, QA, QEA}. We show that the class of α-dimensional neat reducts of algebras in K

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✍ Tarek Sayed Ahmed 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 77 KB

## Abstract We show that certain properties of dimension complemented cylindric algebras, concerning neat embeddings, do not generalize much further. Let __α__ ≥ __ω__. There are non‐isomorphic representable cylindric algebras of dimension __α__ each of which is a generating subreduct of the same _