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The endomorphism monoid of \(n\)-prism. (English) Zbl 1245.05065

Summary: The endomorphism monoid of an \(n\)-prism \(Pr(n)\) is explored explicitly. It is shown that \(Pr(2m + 1)\) is endomorphism regular for any \(m\geq 1\) and \(Pr(2m)\) is not endomorphism regular for any \(m\geq 2\).

MSC:

05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20M20 Semigroups of transformations, relations, partitions, etc.
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