Aslan, Tugba and Khaled, Mohamed (2019) Stone type representation theorems via games. COLLOQUIUM MATHEMATICUM, 155 (1). pp. 141-155. ISSN 0010-1354
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Official URL: https://doi.org/10.4064/cm7368-1-2018
Abstract
The classes of relativized relation algebras (whose units are not necessarily transitive as binary relations) are known to be finitely axiomatizable. In this article, we give a new proof for this fact that is easier and more transparent than the original proofs. We give direct constructions for all cases, whereas the original proofs reduced the problem to only one case. The proof herein is combinatorial and it uses some techniques from game theory.
| Item Type: | Article |
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| Uncontrolled Keywords: | Relation algebras; Representability; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 16 Jan 2019 08:50 |
| Last Modified: | 16 Jan 2019 08:50 |
| URI: | http://real.mtak.hu/id/eprint/90015 |
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