Cancellative residuated lattices arising on 2-generated submonoids of natural numbers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F10%3A00171633" target="_blank" >RIV/68407700:21230/10:00171633 - isvavai.cz</a>

Alternative codes found

RIV/67985807:_____/10:00348399

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Cancellative residuated lattices arising on 2-generated submonoids of natural numbers

Original language description

It is known that there are only two cancellative atoms in the subvariety lattice of residuated lattices, namely the variety of Abelian l-groups CLG generated by the additive l-group of integers and the variety CLG(-) generated by the negative cone of this l-group. In this paper we consider all cancellative residuated chains arising on 2-generated submonoids of natural numbers and show that almost all of them generate a cover of CLG(-). This proves that there are infinitely many covers above CLG(-) whichare commutative, integral, and representable.

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

<a href="/en/project/KJB100300701" target="_blank" >KJB100300701: Complexity of t-norm based logics - algebraic and proof-theoretical approach</a><br>

Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2010

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

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Volume of the periodical

63

Issue of the periodical within the volume

2-3

Country of publishing house

CH - SWITZERLAND

Number of pages

14

Pages from-to

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UT code for WoS article

000283085400010

EID of the result in the Scopus database

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