Definition of Quasigroup. Meaning of Quasigroup. Synonyms of Quasigroup

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

Definition of Quasigroup

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Meaning of Quasigroup from wikipedia

- abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible. Quasigroups differ from groups...
- a CH-quasigroup, introduced by Manin (1986, definition 1.3), is a symmetric quasigroup in which any three elements generate an abelian quasigroup. "CH"...
- n,R]=[R,R,n]=\{0\}\ .} The nucleus is an ****ociative subring of R. A quasigroup Q is a set with a binary operation ⋅ : Q × Q → Q {\displaystyle \cdot...
- Commonly studied types of magma include: Quasigroup: A magma where division is always possible. Loop: A quasigroup with an identity element. Semigroup: A...
- with quasigroups, which are generalization of groups in a different direction; the operation in a quasigroup need not be ****ociative but quasigroups preserve...
- In mathematics, especially abstract algebra, loop theory and quasigroup theory are active research areas with many open problems. As in other areas of...
- Latin squares and quasigroups are equivalent mathematical objects, although the former has a combinatorial nature while the latter is more algebraic....
- 2004, as a part of his PhD dissertation entitled Totally Antisymmetric Quasigroups. The Damm algorithm is similar to the Verhoeff algorithm. It too will...
- of X. Free loop Loop group Loop space Loop algebra Fundamental group Quasigroup Adams, John Frank (1978), Infinite Loop Spaces, Annals of mathematics...
- then the rows are orthogonal. In fact, small category is orthogonal to quasigroup, and groupoid is orthogonal to magma. Consequently there are zeros in...