The Euler-Fermat theorem for the semigroup of circulant Boolean matrices

Štefan Schwarz

Displaying similar documents to “The Euler-Fermat theorem for the semigroup of circulant Boolean matrices”

On Powers of Non-Negative Matrices

Štefan Schwarz (1965)

Matematicko-fyzikálny časopis

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Structure of partially ordered cyclic semigroups

Józef Drewniak, Jolanta Sobera (2003)

Czechoslovak Mathematical Journal

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This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.