Andréka, Hajnal and Givant, Steven
(2019)
*A representation theorem for measurable relation algebras with cyclic groups.*
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 371.
pp. 7175-7198.
ISSN 0002-9947

Text
1804.02534v1 Download (303kB) |

Official URL: https://doi.org/10.1090/tran/7566

## Abstract

A relation algebra is measurable if the identity element is a sum of atoms, and the square $ x;1;x$ of each subidentity atom $ x$ is a sum of non-zero functional elements. These functional elements form a group $ G_x$. We prove that a measurable relation algebra in which the groups $ G_x$ are all finite and cyclic is completely representable. A structural description of these algebras is also given.

Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |

SWORD Depositor: | MTMT SWORD |

Depositing User: | MTMT SWORD |

Date Deposited: | 04 Sep 2019 11:51 |

Last Modified: | 04 Sep 2019 11:51 |

URI: | http://real.mtak.hu/id/eprint/98569 |

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