Near ?-lattices

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004804" target="_blank" >RIV/61989592:15310/07:00004804 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Near ?-lattices

Original language description

By a near ?-lattice is meant an upper ?-semilattice where is defined a partial binary operation x ? y with respect to the induced order whenever x,y has a common lower bound. Alternatively, a near ?-lattice can be described as an algebra with one ternaryoperation satisfying nine simple conditions. Hence, the class of near ?-lattices is a quasivariety. A ?-semilattice A=(A; v) is said to have sectional (antitone) involutions if for each $ain A$ there exists an (antitone) involution on [a,1] where 1 isthe greatest element of A. If this antitone involution is a~complementation, A is called an ortho ?-semilattice. We characterize these near ?-lattices by certain identities.

Czech name

Near ?-svazy

Czech description

Near ?-svaz je horní Near ?-polosvaz, na kterém je definována parciální binární operace (na každé sekci). Tuto algebru lze axiomatizovat pomocí devíti jednoduchých axiomů tak, že třída near ?-svazů je kvazivarieta. Jsou studovány near ?-svazy se sekčnímiantitonními involucemi.

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

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Kyungpook Mathematical Journal

ISSN

0454-8124

e-ISSN

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Volume of the periodical

47

Issue of the periodical within the volume

1

Country of publishing house

KR - KOREA, REPUBLIC OF

Number of pages

12

Pages from-to

283-294

UT code for WoS article

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EID of the result in the Scopus database

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