Classification of Finite Groupoids of Order 3 by Using Image Patterns

Elissa Mollakuqe,Smile Markovski,Vesna Dimitrova

doi:10.1007/978-981-16-2102-4_13

Classification of Finite Groupoids of Order 3 by Using Image Patterns

Elissa Mollakuqe, Smile Markovski + Show 1 more

https://doi.org/10.1007/978-981-16-2102-4_13

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Publication Date: Oct 27, 2021

Affiliation: Saints Cyril and Methodius University of Skopje

#Finite Number Of Elements #Finite Groupoid + Show 6 more

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Abstract

AbstractA groupoid is an algebraic structure (G,*) formed by a non-empty set G and a binary function *: G2 → G defined on the set G. A groupoid that has finite number of elements is called finite groupoid. The number of finite groupoids of not so big order is huge and that implies the needs of their classifications. This paper will give some classifications of groupoids of order 3, the number of them is 19.683, by using suitably defined image patterns.KeywordsGroupoidsClassificatione-transformations

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