3 research outputs found
Results and speculations concerning Comer relation algebras and the flexible atom conjecture
We study some finite integral symmetric relation algebras whose forbidden
cycles are all 2-cycles. These algebras arise from a finite field construction
due to Comer. We consider conditions that allow other finite algebras to embed
into these Comer algebras, and as an application give the first known finite
representation of relation algebra , one of whose atoms is flexible.
We conclude with some speculation about how the ideas presented here might
contribute to a proof of the flexible atom conjecture