Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
LGS-quasigroups
Authors: Z. Kolar-Begovic', V.Volenec
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Abstract
The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup. The theorem about the characterization of LGS-quasigroup by means of a commutative group is proved. RGS-quasigroup is introduced and the connection with LGS-qusigroup is investigated.Fulltext
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Contents
- Kernel normal system of inverse AG**-groupoids
- Products of the symmetric or alternating groups with L3(3)
- Rigid and super rigid quasigroups
- N-quasigroups
- Uniform topology and spectral topology on hyper MV-algebras
- New identities in universal Osborn loops
- LGS-quasigroups
- Generating huge quasigroups from small non-linear bijections via extended Feistel function
