Basics of DTS quasigroups: Algebra, geometry and enumeration

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317506" target="_blank" >RIV/00216208:11320/15:10317506 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1142/S0219498815500899" target="_blank" >http://dx.doi.org/10.1142/S0219498815500899</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0219498815500899" target="_blank" >10.1142/S0219498815500899</a>

Result language

angličtina

Original language name

Basics of DTS quasigroups: Algebra, geometry and enumeration

Original language description

A directed triple system can be defined as a decomposition of a complete digraph to directed triples < x, y, z >. By setting xy = z, yz = x, xz = y and uu = u we get a binary operation that can be a quasigroup. We give an algebraic description of such quasigroups, explain how they can be associated with triangulated pseudosurfaces and report enumeration results.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/VF20102015006" target="_blank" >VF20102015006: Deciphering and decoding of digital tracks</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Algebra and its Applications

ISSN

0219-4988

e-ISSN

—

Volume of the periodical

14

Issue of the periodical within the volume

6

Country of publishing house

SG - SINGAPORE

Number of pages

23

Pages from-to

1-23

UT code for WoS article

000353296100011

EID of the result in the Scopus database

2-s2.0-84928555891