Abstract
Abel-Grassmann’s groupoids or shortly AG-groupoids have been considered in quite a number of papers, although under different names. In some papers they are named left-almost semigroups, LA-semigroups, in others left invertive groupoids. In our research we have already dealt with different subclasses of the class of AG-groupoids. In this paper we introduce the class of “root of a band,” a generalization of AG-band and AG-3-band, which we have studied previously in 2004 and 2003, respectively.
Deceased March 11, 2009
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Deneš, J., Keedwell, A.D.: Latin Squares and Their Applications. Akadémia Kiadó, Budapest (1974)
Holgate, P.: Groupoids satisfying a simple invertive law. Math Student. 61, No 1–4, 101–106 (1992)
Kazim, M.A., Naseeruddin, M.: On almost semigroups. Aligarh Bull. Math. 2, 1–7 (1972)
Protić, P.V., Stevanović, N.: On Abel-Grassmann’s groupoids (review). In: Proceedings of the mathematical conference in Pristina. 31–38 (1994)
Protić, P.V., Stevanović, N.: AG-test and some general properties of Abel-Grassmann’s groupoids. PU.M.A. 6, No. 4, 371–383 (1995)
Protić, P.V., Stevanović, N.: Some relations on Abel-Grassmann’s 3-bands. PU. M. A. Budapest- Siena, 14, No. 1 (2003)
Protić, P.V., Stevanović, N.: Abel-Grassmann’s bands. Quasigroups and related systems, (Moldavia - South Corea), Kišinjev No. 11, 95–101 (2004)
Acknowledgements
Supported by Grant ON 144013 of the Ministry of Science through the Math. Inst. SANU.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Professor Gradimir V. Milovanović on the occasion of his 60th birthday
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Stevanović, N., Protić, P.V. (2010). Roots of AG-bands. In: Gautschi, W., Mastroianni, G., Rassias, T. (eds) Approximation and Computation. Springer Optimization and Its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6594-3_29
Download citation
DOI: https://doi.org/10.1007/978-1-4419-6594-3_29
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-6593-6
Online ISBN: 978-1-4419-6594-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)