"semilattice; sectional mapping; antitone mapping; switching mapping; involution."@en . . . "PL - Polsk\u00E1 republika" . . "11-19" . "Z(MSM6198959214)" . "9"^^ . "449383" . "RIV/61989592:15310/07:00004802" . . . . . "We consider join-semilattices with 1 where for every element p a mapping on the interval [p,1] is defined; these mappings are called sectional mapings and such structures are called semilattices with sectional mappings. We assign to every semilattice with sectional mappings a binary operation which enables us to classify the cases where the sectional mappings are involutions and / or antitone mappings. The paper generalizes results of [3] and [4], and there are also some connections to[1]."@en . . "Uva\u017Euje se spojov\u00FD polosvaz s 1, kde na ka\u017Ed\u00E9 sekci je definov\u00E1no tzv. sek\u010Dn\u00ED zobrazen\u00ED. Takov\u00E9mu polosvazu je p\u0159i\u0159azena nov\u00E1 bin\u00E1rn\u00ED operace, pomoc\u00ED n\u00ED\u017E je klasifikov\u00E1no, kdy jsou sek\u010Dn\u00ED zobrazen\u00ED involucemi nebo jsou antitonn\u00ED."@cs . . . . "Semilattices with sectional mappings" . "1" . "Polosvazy se sek\u010Dn\u00EDmi zobrazen\u00EDmi"@cs . "Eigenthaler, G." . "1234-3072" . . "27" . "RIV/61989592:15310/07:00004802!RIV08-MSM-15310___" . "Semilattices with sectional mappings"@en . . "Discussiones Mathematicae" . "Polosvazy se sek\u010Dn\u00EDmi zobrazen\u00EDmi"@cs . "Semilattices with sectional mappings"@en . "2"^^ . "Semilattices with sectional mappings" . "1"^^ . . "We consider join-semilattices with 1 where for every element p a mapping on the interval [p,1] is defined; these mappings are called sectional mapings and such structures are called semilattices with sectional mappings. We assign to every semilattice with sectional mappings a binary operation which enables us to classify the cases where the sectional mappings are involutions and / or antitone mappings. The paper generalizes results of [3] and [4], and there are also some connections to[1]." . "15310" . . . . "[FC46944252CA]" . "Chajda, Ivan" .