The local loop lemma

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10421066" target="_blank" >RIV/00216208:11320/20:10421066 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=oRMy.YbgaW" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=oRMy.YbgaW</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00012-020-0644-y" target="_blank" >10.1007/s00012-020-0644-y</a>

Result language

angličtina

Original language name

The local loop lemma

Original language description

We prove that an idempotent operation generates a loop from a strongly connected digraph containing directed closed walks of all lengths under very mild (local) algebraic assumptions. Using the result, we reprove the existence of weakest non-trivial idempotent equations, and that a finite strongly connected digraph of algebraic length 1 compatible with a Taylor operation has a loop.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA18-20123S" target="_blank" >GA18-20123S: Expanding the Scope of Universal Algebra</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2020

Confidentiality

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

Name of the periodical

Algebra Universalis

ISSN

0002-5240

e-ISSN

—

Volume of the periodical

81

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

23

Pages from-to

14

UT code for WoS article

000514996900001

EID of the result in the Scopus database

2-s2.0-85079819203