-
abstract algebra, a
quasigroup is an
algebraic structure resembling 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...
- a CH-
quasigroup,
introduced by
Manin (1986,
definition 1.3), is a
symmetric quasigroup in
which any
three elements generate an
abelian quasigroup. "CH"...
- one can
count to on one's
fingers using senary. 35 is the
number of
quasigroups of
order 4. 35 is the
smallest composite number of the form 6 k + 5 {\displaystyle...
-
conference on
quasigroups, loops, and non****ociative systems,
Denver 2005 Let (Q,∗){\displaystyle (Q,*)}, (Q,+){\displaystyle (Q,+)} be two
quasigroups defined...
- with
quasigroups,
which are
generalization of
groups in a
different direction; the
operation in a
quasigroup need not be ****ociative but
quasigroups preserve...
- 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...
-
length n + 1
encodes an n-ary (multiary)
quasigroup. It is
possible to
prove theorems about multiary quasigroups by
means of
biased graphs (Zaslavsky, t...
-
ambient space,
which carries one
subset to the
other Isotopy of
quasigroups. See
Quasigroup#Homotopy and isotopy.
Isotopy of loops, a
triple of maps with...
- property.
Examples include matrix algebras,
quaternion algebras, and
quasigroups. In an
integral domain,
where not
every element need have an inverse...
