Rectangular groupoids and related structures

Article English OPEN
Boykett, Tim;
  • Publisher: Elsevier BV
  • Journal: Discrete Mathematics, volume 313, issue 13, pages 1,409-1,418 (issn: 0012-365X, eissn: 1872-681X)
  • Publisher copyright policies & self-archiving
  • Related identifiers: pmc: PMC3688338, doi: 10.1016/j.disc.2013.03.012
  • Subject: Subvarieties | Path property | Matrix identities | General algebra | Article | Discrete Mathematics and Combinatorics | Groupoids | Theoretical Computer Science | Isotopy | Dualities | Quasivarieties | Transversals
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Symplectic Geometry | Mathematics::Category Theory | Mathematics::Operator Algebras

The quasivariety of groupoids (N,∗) satisfying the implication a∗b=c∗d⇒a∗d=c∗b=a∗b generalises rectangular semigroups and central groupoids. We call them rectangular groupoids and find three combinatorial structures based upon arrays, matrices and graphs that are closel... View more
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