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Discussiones Mathematicae General Algebra and Applications 25(2) (2005) 235-257
DOI: https://doi.org/10.7151/dmgaa.1101

SUBDIRECTLY IRREDUCIBLE
NON-IDEMPOTENT LEFT SYMMETRIC LEFT DISTRIBUTIVE GROUPOIDS

Emil Jerábek¹, Tomás Kepka² and David Stanovský²

¹Mathematical Institute, Academy of Sciences
Prague, Czech Republic

²Charles University in Prague, Czech Republic

e-mail:	jerabek@math.cas.cz
e-mail:	kepka@karlin.mff.cuni.cz
e-mail:	stanovsk@karlin.mff.cuni.cz

Abstract

We study groupoids satisfying the identities x·xy = y and x·yz = xy·xz. Particularly, we focus our attention at subdirectlyirreducible ones, find a description and charecterize small ones.

Keywords: groupoid, left distributive, left symmetric, subdirectly irreducible.

2000 Mathematics Subject Classification: Primary: 20N02;Secondary: 08B20.

References

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Received 27 July 2005