Aniq fanlar

О НОРМАЛЬНЫХ ФОРМАХ И НЕКОТОРЫХ СВОЙСТВАХ ЛИНЕЙНЫХ КВАЗИГРУПП И КВАЗИГРУПП СМЕШАННОГО ТИПА ПЕРВОГО (ВТОРОГО) РОДА

alinear quasigroup, linear quasigroup, Λ-form quasigroup, quasigroup of mixed type of the first kind, quasigroup of mixed type of the second kind, endomorphism, anti-automorphism, quasi-automorphism, T-quasigroup.

Authors

  • А. А. Давлатбеков Денауский институт предпринимательства и педагогики, Термез, Uzbekistan
  • М. Р. Собирова Денауский институт предпринимательства и педагогики, Термез, Uzbekistan
Vol. 2 No. 2.1.1 (2025): O'zMu xabarlari (2.1.1 SONI) 2025 ANIQ FANLAR
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Quasigroups, mainly isotopic groups, Abelian groups, a special role is played by linear quasigroups,
alinear quasigroups, generalized linear quasigroups (linear (left), right, alinear (left), right, mixed
type of the first (second) kind) and T-quasigroups.
This paper provides a description of generalized linear quasigroups, as well as linear quasigroups using
the forms of the quasigroup. It should be noted that in [1-2] some properties of the T-quasigroup
in [3] linear quasigroups, in [4] left (right) linear quasigroups were studied Λ-form quasigroups.
Similarly, for a quasigroup of mixed type of the first (second) kind, these properties are proved using
Λ-form of quasigroups. In addition, a connection is established between different types of mixed-type
quasigroups of the first (second) kind with T-quasigroups.