On free semilattice-ordered semigroups satisfying xn=x

Result code in IS VaVaI

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Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On free semilattice-ordered semigroups satisfying xn=x

Original language description

Let B(k,0,n) denote the group with k generators which is free in the group variety defined by the identity x n =1. Let B slo (k,1,n) denote the semilattice-ordered semigroup with k generators which is free in the semilattice-ordered semigroup variety defined by the identity x n =x. We prove a generalization of the Green-Rees theorem: B slo (k,1,n) is finite for all k>=1 if and only if B(k,0,n-1) is finite for all k>=1. We find a formula for card(B slo (1,1,n)). We construct B slo (k,1,n) for some concrete values of k and n.

Czech name

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Czech description

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Type

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

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2010

Confidentiality

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

Name of the periodical

Semigroup Forum

ISSN

0037-1912

e-ISSN

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Volume of the periodical

80

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

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UT code for WoS article

000273470300007

EID of the result in the Scopus database

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