Definition of Quasigroups. Meaning of Quasigroups. Synonyms of Quasigroups

Here you will find one or more explanations in English for the word Quasigroups. Also in the bottom left of the page several parts of wikipedia pages related to the word Quasigroups and, of course, Quasigroups synonyms and on the right images related to the word Quasigroups.

Definition of Quasigroups

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Meaning of Quasigroups from wikipedia

- abstract algebra, a quasigroup is an algebraic structure that resembles a group in the sense that "division" is always possible. Quasigroups differ from groups...
- Şcerbacov, Victor (2003). "Check character systems over quasigroups and loops" (PDF). Quasigroups and Related Systems. 10 (1): 1–28. ISSN 1561-2848. See...
- y) for all x, y in G. Such quasigroups are said to be isotopic. If in the above definition f = g = h then the quasigroups are said to be isomorphic. Unlike...
- with quasigroups, which are generalization of groups in a different direction; the operation in a quasigroup need not be ****ociative but quasigroups preserve...
- III, Stephen (2011). "How and why Moufang loops behave like groups". Quasigroups and Related Systems. 19: 1–22. Grishkov, Alexander; Zavarnitsine, Andrei...
- Bruck–Murdoch–Toyoda theorem provides the following characterization of medial quasigroups. Given an abelian group A and two commuting automorphisms φ and ψ of...
- quasigroups, loops, and non****ociative systems, Denver 2005 Let ( Q , ∗ ) {\displaystyle (Q,*)} , ( Q , + ) {\displaystyle (Q,+)} be two quasigroups defined...
- a CH-quasigroup, introduced by Manin (1986, definition 1.3), is a symmetric quasigroup in which any three elements generate an abelian quasigroup. "CH"...
- Algebraic structures Group-like Group Semigroup / Monoid Rack and quandle Quasigroup and loop Abelian group Magma Lie group Group theory Ring-like Ring Rng...
- of their matroids, but also because of their connection with multiary quasigroups. See below. A biased graph may have half-edges (one endpoint) and loose...