Characterization of certain groupoids and loops
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- by Pl. Kannappan PDF
- Proc. Amer. Math. Soc. 40 (1973), 401-406 Request permission
Abstract:
Groupoids (loops) possessing the left inverse property (lip) (also the right inverse property) and crossed-inverse (CI) loops are characterized as subvarieties of the variety of groupoids satisfying a single identity.References
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- Pl. Kannappan, On weak inverse property loops, J. London Math. Soc. (2) 5 (1972), 298–302. MR 310117, DOI 10.1112/jlms/s2-5.2.298 —, Groupoids and groups, Jber. Deutsch. Math. Verein. (to appear).
- R. Padmanabhan, Inverse loops as groupoids with one law, J. London Math. Soc. (2) 1 (1969), 203–206. MR 244429, DOI 10.1112/jlms/s2-1.1.203
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 401-406
- MSC: Primary 20N99
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318382-1
- MathSciNet review: 0318382