Isomorphism Theorems for Groupoids and Some Applications

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Reena Rani, Dr. A.K Malik

Abstract

Using algebraic idea we introduce an creation to groupoid notion; that's , we provide primary
groupoid houses including versions of inverses and proprietary systems additionally to studying
subgroupoids, extensive subgroupoids, and wellknown subgroupoids. We additionally delivered
the isomorphism of groupoid isomorphism and its packages and determined the equal quite
Zassenhaus Lemma and therefore the Jordan-Hölder theorem of groupoids. Finally, we've been
endorsed via way of means of the Ehresmann-Schein-Nambooripad theorem to reinforce the
impact of R. Exel at the one-to-one connection among sure institution movements and therefore
the movements of opposing semigroups.

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How to Cite
Reena Rani, Dr. A.K Malik. (2021). Isomorphism Theorems for Groupoids and Some Applications. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 11(1), 346–351. https://doi.org/10.17762/turcomat.v11i1.11080
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