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Advisor(s)
Abstract(s)
In this paper, we study partial automorphisms and, more generally, injective partial endomorphisms of a finite undirected path from Semigroup Theory perspective. Our main objective is to give formulas for the ranks of themonoids IEnd(P-n) and PAut(P-n) of all injective partial endomorphisms and of all partial automorphisms of the undirected path Pn with n vertices. We also describe Green's relations of PAut(P-n) and IEnd(P-n) and calculate their cardinals.
Description
Keywords
Injective partial endomorphisms Partial automorphisms Paths Generators Rank
Citation
DIMITROVA, I.; [et al] – Partial automorphisms and injective partial endomorphisms of a finite undirected path. Semigroup Forum. ISSN 0037-1912. Vol. 103, N.º 1 (2021), pp. 87-105
Publisher
Springer