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Maximal semigroups dominated by \(0-1\) matrices. (English) Zbl 0866.47046

Summary: Maximal semigroups dominated by a 0-1 matrix of a certain type are determined. The 0-1 matrices that dominate maximal bounded and maximal commuting semigroups are given. Also semigroup modules over maximal semigroups dominated by a 0-1 matrix are discussed.

MSC:

47H20 Semigroups of nonlinear operators
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