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Communications in Algebra Volume 49, 2021 - Issue 11
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Research Article

On loopoids and magma with inverse

Maria de Lourdes Merlini Giuliania Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, Santo André, SP, BrazilCorrespondence[email protected]
&
Wagner de Oliveira Cortesb Instituto de Matemática, Universidade Federal do RGS, Porto Alegre, RS, Brazil
Pages 4905-4914 | Received 06 May 2021, Accepted 13 May 2021, Published online: 08 Jun 2021
 
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Abstract

In this paper, investigating the nonassociative version of groupoids and inverse semigroups, we study the relationship between these two algebraic structures and show that it can not be one-to-one.

2020 MATHEMATICS SUBJECT CLASSIFICATIONS:

Acknowledgment

Some calculations in this work have been made by using the finite model builder MACE4, developed by McCune [Citation8], and the LOOPS package [Citation9] for GAP.

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