Admissible closure operators and varieties of semilattice-ordered normal bands

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F17%3A43892843" target="_blank" >RIV/44555601:13440/17:43892843 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.14232/actasm-016-777-4" target="_blank" >http://dx.doi.org/10.14232/actasm-016-777-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14232/actasm-016-777-4" target="_blank" >10.14232/actasm-016-777-4</a>

Result language

angličtina

Original language name

Admissible closure operators and varieties of semilattice-ordered normal bands

Original language description

It is known that varieties of semilattice-ordered semigroups are in one-to-one correspondence with the ordered pairs (rho ,[ ]) where rho is a fully invariant congruence on the free semigroup on a countably infinite set and [ ] is a rho -admissible closure operator. We find all admissible closure operators for varieties of left normal bands. Using the obtained results we describe all varieties of semilattice-ordered left normal bands by admissible closure operators. We solve the identity problem for all varieties of semilattice-ordered normal bands.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

Acta scientiarum mathematicarum.

ISSN

0001-6969

e-ISSN

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Volume of the periodical

2017

Issue of the periodical within the volume

83

Country of publishing house

HU - HUNGARY

Number of pages

16

Pages from-to

35-50

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85020948147