اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدResults and speculations concerning Comer relation algebras and the flexible atom conjecture
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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 $34_{65}$, 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.
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