Let X be a non empty set and f a map from X to X. Considering f as a 1-ary operation on X we study the algebraic structure (X,f), which is called monounary algebra. These algebras can be introduced as particular oriented graphs too, emphasizing their topological or combinatorial properties. In the finite case, we obtain methods of algebraic representation through adjacency matrices or polynomials.
Monounary Simple Algebras / M. Bianchi, A. Gillio, L. Verardi - In: Ischia group theory 2004 :proceedings of a conference in honor of Marcel Herzog held in Naples, March 31-April 3, 2004 / [a cura di] Z. Arad, M. Bianchi, W. Herfort, P. Longobardi, M. Maj, C. Scoppola. - Providence : American Mathematical Society, 2006. - ISBN 0-8218-3711-7. - pp. 119-132
Monounary Simple Algebras
M. Bianchi;A. Gillio;
2006
Abstract
Let X be a non empty set and f a map from X to X. Considering f as a 1-ary operation on X we study the algebraic structure (X,f), which is called monounary algebra. These algebras can be introduced as particular oriented graphs too, emphasizing their topological or combinatorial properties. In the finite case, we obtain methods of algebraic representation through adjacency matrices or polynomials.Pubblicazioni consigliate
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