Residuated operators in complemented posets

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73590109" target="_blank" >RIV/61989592:15310/18:73590109 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S1793557118500973" target="_blank" >http://dx.doi.org/10.1142/S1793557118500973</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S1793557118500973" target="_blank" >10.1142/S1793557118500973</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Residuated operators in complemented posets

Popis výsledku v původním jazyce

Using the operators of taking upper and lower cones in a poset with a unary operation, we define operators M(x, y) and R(x, y) in the sense of multiplication and residuation, respectively, and we show that by using these operators, a general modification of residuation can be introduced. A relatively pseudocomplemented poset can be considered as a prototype of such an operator residuated poset. As main results, we prove that every Boolean poset as well as every pseudo-orthomodular poset can be organized into a (left) operator residuated structure. Some results on pseudo-orthomodular posets are presented which show the analogy to orthomodular lattices and orthomodular posets.

Název v anglickém jazyce

Residuated operators in complemented posets

Popis výsledku anglicky

Using the operators of taking upper and lower cones in a poset with a unary operation, we define operators M(x, y) and R(x, y) in the sense of multiplication and residuation, respectively, and we show that by using these operators, a general modification of residuation can be introduced. A relatively pseudocomplemented poset can be considered as a prototype of such an operator residuated poset. As main results, we prove that every Boolean poset as well as every pseudo-orthomodular poset can be organized into a (left) operator residuated structure. Some results on pseudo-orthomodular posets are presented which show the analogy to orthomodular lattices and orthomodular posets.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Asian-European Journal of Mathematics

ISSN

1793-5571

e-ISSN

—

Svazek periodika

11

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

15

Strana od-do

"1850097-1"-"1850097-15"

Kód UT WoS článku

000453225400016

EID výsledku v databázi Scopus

2-s2.0-85054495306