O identitách bolovsko-moufangovského typu

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F05%3A00001859" target="_blank" >RIV/61989592:15310/05:00001859 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On identities of Bol-Moufang type

Popis výsledku v původním jazyce

(Left) Bol loops are usually introduced as loops in which (left) Bol condition is satisfied, and the existence of the two-sided inverse of any element as well as the left inverse property are deduced. It appears that some of the assumptions on the structure are superfluous and can be omitted, or modified. Also, Bol loops can be presented in various settings as far as the family of operation symbols is concerned. First we give a short survey on main known results on identities of Bol-Moufang type in quasigroups, written in a unified notation, and try to employ only multiplication and left division for the equational theory of left Bol loops. Then we propose a rather non-traditional concept of the variety of left Bol loops in type (2,1,0), with operationsymbols (.,-1,e) and with a five-element set of defining identities.

Název v anglickém jazyce

On identities of Bol-Moufang type

Popis výsledku anglicky

(Left) Bol loops are usually introduced as loops in which (left) Bol condition is satisfied, and the existence of the two-sided inverse of any element as well as the left inverse property are deduced. It appears that some of the assumptions on the structure are superfluous and can be omitted, or modified. Also, Bol loops can be presented in various settings as far as the family of operation symbols is concerned. First we give a short survey on main known results on identities of Bol-Moufang type in quasigroups, written in a unified notation, and try to employ only multiplication and left division for the equational theory of left Bol loops. Then we propose a rather non-traditional concept of the variety of left Bol loops in type (2,1,0), with operationsymbols (.,-1,e) and with a five-element set of defining identities.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F05%2F2707" target="_blank" >GA201/05/2707: Riemannova a afinní geometrie podporovaná počítačem</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2005

Kód důvěrnosti údajů

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

Název periodika

Buletinul Academia de Stiinte a Republicii Moldova. Matematica

ISSN

1024-7696

e-ISSN

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Svazek periodika

49

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

MD - Moldavská republika

Počet stran výsledku

13

Strana od-do

88-100

Kód UT WoS článku

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EID výsledku v databázi Scopus

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