The Center Of A Generalized Effect Algebra
| Autor: | David J. Foulis, S. Pulmannová |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
direct sum decomposition
Symmetric algebra orthosummable family Pure mathematics Quaternion algebra lcsh:Mathematics General Mathematics centrally orthocomplete lcsh:QA1-939 generalized effect algebra exocenter boolean effect algebra Filtered algebra Algebra center Incidence algebra Algebra representation Division algebra effect algebra Cellular algebra exocentral cover Central simple algebra Mathematics |
| Zdroj: | Demonstratio Mathematica, Vol 47, Iss 1, Pp 1-21 (2014) |
| ISSN: | 2391-4661 0420-1213 |
| Popis: | In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGEA is a complete boolean algebra and that a COGEA decomposes uniquely as the direct sum of an effect algebra (EA) that contains the center of the COGEA and a complementary direct summand in which no nonzero direct summand is an EA. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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