On loopoids and magma with inverse

DOI10.1080/00927872.2021.1931267zbMath1485.20147OpenAlexW3166186053MaRDI QIDQ5160031

Wagner de Oliveira Cortes, Maria de Lourdes Merlini Giuliani

Publication date: 28 October 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1931267

zbMATH Keywords

loopsgroupoidsquasigroupoidloopoidmagma with inverse

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Inverse semigroups (20M18) Sets with a single binary operation (groupoids) (20N02) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Uses Software

• Prover9
• Mace4
• LOOPS

Cites Work

• A simple construction for the Fischer-Griess monster group
• The Galois correspondence theorem for groupoid actions
• An introduction to loopoids
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