On spectrum of medial T2-quasigroups

A. V. Scerbacova; V. A. Shcherbacov

On spectrum of medial T₂-quasigroups

A. V. Scerbacova
, V. A. Shcherbacov

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

There exist medial T₂-quasigroups of any order of the form (Formula Presented), where k₁ ≥ 2, k₂,…, k₁₀ ≥ 1, pi are prime numbers of the form 6t + 1, α_i ∈ ℕ, i ∈ {1,…,m}. Some other results on T₂-quasigroups are given.

Original language	English
Pages (from-to)	143-154
Number of pages	12
Journal	Buletinul Academiei de Stiinte a Republicii Moldova. Matematica
Volume	81
Issue number	2
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© A.V. Scerbacova, V.A. Shcherbacov, 2016.

Keywords

Medial
Orthogonal quasigroups
Parastrophe
Quasigroup
Spectrum
T-quasigroup

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "On spectrum of medial T2-quasigroups",

abstract = "There exist medial T2-quasigroups of any order of the form (Formula Presented), where k1 ≥ 2, k2,…, k10 ≥ 1, pi are prime numbers of the form 6t + 1, αi ∈ ℕ, i ∈ \{1,…,m\}. Some other results on T2-quasigroups are given.",

keywords = "Medial, Orthogonal quasigroups, Parastrophe, Quasigroup, Spectrum, T-quasigroup",

author = "Scerbacova, \{A. V.\} and Shcherbacov, \{V. A.\}",

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T1 - On spectrum of medial T2-quasigroups

AU - Scerbacova, A. V.

AU - Shcherbacov, V. A.

N1 - Publisher Copyright: © A.V. Scerbacova, V.A. Shcherbacov, 2016.

PY - 2016

Y1 - 2016

N2 - There exist medial T2-quasigroups of any order of the form (Formula Presented), where k1 ≥ 2, k2,…, k10 ≥ 1, pi are prime numbers of the form 6t + 1, αi ∈ ℕ, i ∈ {1,…,m}. Some other results on T2-quasigroups are given.

AB - There exist medial T2-quasigroups of any order of the form (Formula Presented), where k1 ≥ 2, k2,…, k10 ≥ 1, pi are prime numbers of the form 6t + 1, αi ∈ ℕ, i ∈ {1,…,m}. Some other results on T2-quasigroups are given.

KW - Medial

KW - Orthogonal quasigroups

KW - Parastrophe

KW - Quasigroup

KW - Spectrum

KW - T-quasigroup

UR - https://www.scopus.com/pages/publications/85008448627

M3 - Article

AN - SCOPUS:85008448627

SN - 1024-7696

VL - 81

SP - 143

EP - 154

JO - Buletinul Academiei de Stiinte a Republicii Moldova. Matematica

JF - Buletinul Academiei de Stiinte a Republicii Moldova. Matematica

IS - 2

ER -