On the maximal subgroup of the sandwich semigroup of generalized circulant Boolean matrices
Let be a positive integer, and the set of all -circulant matrices over the Boolean algebra , . For any fixed -circulant matrix () in , we define an operation “” in as follows: for any in , where is the usual product of Boolean matrices. Then is a semigroup. We denote this semigroup by and call it the sandwich semigroup of generalized circulant Boolean matrices with sandwich matrix . Let be an idempotent element in and the maximal subgroup in containing...