Higher Kiss terms

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10453395" target="_blank" >RIV/00216208:11320/22:10453395 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=X0w4OiZa5j" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=X0w4OiZa5j</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218196722500539" target="_blank" >10.1142/S0218196722500539</a>

Result language

angličtina

Original language name

Higher Kiss terms

Original language description

We show that the modular term condition higher commutator is equal to the modular hypercommutator. As a consequence, we arrive at a new proof that HC8 holds for modular varieties. Next, we develop a procedure for a modular variety for producing the higher dimensional congruences that characterize the hypercommutator. This procedure allows us to demonstrate that every modular variety has an infinite sequence of what we call higher dimensional Kiss terms. We use these results to extend the scope of a theorem of Oprsal from permutable varieties to modular varieties.

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

—

Continuities

R - Projekt Ramcoveho programu EK

Publication year

2022

Confidentiality

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

Name of the periodical

International Journal of Algebra and Computation

ISSN

0218-1967

e-ISSN

1793-6500

Volume of the periodical

2022

Issue of the periodical within the volume

32

Country of publishing house

US - UNITED STATES

Number of pages

27

Pages from-to

1233-1259

UT code for WoS article

000844590400008

EID of the result in the Scopus database

2-s2.0-85133821893