Geodesic
Groupoids determined by involutive automorphisms on semilattices of groups
Novi Sad Journal of Mathematics, Tome 48 (2018) no. 2.

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We explore properties of groupoids $(S,\cdot)$ of the form $x\cdot y=(\alpha x)* y$, for all $\{x,y\}\subseteq S$, where $(S,*)$ is a semigroup and a semilattice of groups. We require $\alpha$ to be an idempotent-fixed automorphism on $(S, *)$ whose square is the identity map. Several characterizations of such groupoids are proved, using analogies of semigroup-theoretic properties and constructions.
Publié le :
DOI : 10.30755/NSJOM.03525
Classification : 20M15, 20N02
Keywords: semilattice of groups, involutive automorphism 
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     title = {Groupoids determined by involutive automorphisms on semilattices of groups},
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     pages = {1 - 19},
     publisher = {mathdoc},
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     year = {2018},
     doi = {10.30755/NSJOM.03525},
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R. A. R. Monzo. Groupoids determined by involutive automorphisms on semilattices of groups. Novi Sad Journal of Mathematics, Tome 48 (2018) no. 2. doi : 10.30755/NSJOM.03525. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.03525/

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