Classification of Finite Groupoids of Order 3 by Using Image Patterns
Date Issued
2022
Author(s)
Mollakuqe, Elissa
Abstract
A 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 which 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.
and a binary function *: G2 → G defined on the set G. A groupoid which 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.
Subjects
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