The module theory of semisymmetric quasigroups, totally symmetric quasigroups, and triple systems
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Publication:2164986
DOI10.1007/s10801-022-01124-3zbMath1506.20097OpenAlexW4226341559MaRDI QIDQ2164986
Publication date: 18 August 2022
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-022-01124-3
Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Triple systems (05B07)
Cites Work
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- Commutative Moufang loops and alternative algebras.
- Distributive and trimedial quasigroups of order 243
- The derived group of a permutation representation
- Embedding partial Mendelsohn triple systems
- Commutative Moufang loops and Bessel functions
- The diamond lemma for ring theory
- Mal'cev varieties
- Extended cyclic triple systems
- Embedding partial extended triple systems and totally symmetric quasigroups
- From racks to pointed Hopf algebras
- Embedding extended Mendelsohn triple systems
- Quasigroups, right quasigroups and category coverings
- Extended triple systems
- Embeddings of Steiner triple systems
- Extensions of racks and quandles
- Central and medial quasigroups of small order
- Linear representations of formal loops
- Loop cohomology
- EVANS' NORMAL FORM THEOREM REVISITED
- Commutative Moufang loops and distributive groupoids of small orders
- Simple Moufang loops
- On the nilpotence class of commutative Moufang loops
- Modules over semisymmetric quasigroups
- A guide to self-distributive quasigroups, or latin quandles
- The Full Imbedding Theorem
- On axioms of linear functions