Jeřábek, Emil; Kepka, Tomáš; Stanovský, David Subdirectly irreducible non-idempotent left symmetric left distributive groupoids. (English) Zbl 1102.20045 Discuss. Math., Gen. Algebra Appl. 25, No. 2, 235-257 (2005). Summary: We study groupoids satisfying the identities \(x\cdot xy=y\) and \(x\cdot yz=xy\cdot xz\). Particularly, we focus our attention at subdirectly irreducible ones, find a description and characterize small ones. Cited in 2 Documents MSC: 20N02 Sets with a single binary operation (groupoids) 08B20 Free algebras Keywords:left distributive groupoids; left symmetric groupoids; subdirectly irreducible groupoids PDFBibTeX XMLCite \textit{E. Jeřábek} et al., Discuss. Math., Gen. Algebra Appl. 25, No. 2, 235--257 (2005; Zbl 1102.20045) Full Text: DOI Link