Fleischer po-semigroups and quantum B-algebras

D 2020

Fleischer po-semigroups and quantum B-algebras

KÜHR, Jan a Jan PASEKA

Základní údaje

Originální název

Fleischer po-semigroups and quantum B-algebras

Autoři

KÜHR, Jan a Jan PASEKA

Vydání

New York, 2020 IEEE 50th International Symposium on Multiple-Valued Logic (ISMVL), od s. 285-290, 6 s. 2020

Nakladatel

IEEE

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

elektronická verze "online"

Odkazy

URL

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/20:00117602

Organizační jednotka

Přírodovědecká fakulta

ISBN

978-1-7281-5406-0

ISSN

Klíčová slova anglicky

Partially ordered semigroup; residuable element; residuated partially ordered semigroup; quantale; quantum B-algebra; Fleischer po-semigroup; (pseudo-) BCK-algebra

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 25. 6. 2021 10:08, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

Following the idea of Fleischer who represented BCK-algebras by means of residuable elements of commutative integral po-monoids, we describe quantum B-algebras as subsets of residuable elements of posemigroups. Moreover, we show that quantum B-algebras correspond one-to-one to what we call Fleischer posemigroups. Such an approach is more economical than using logical quantales introduced by Rump.

Návaznosti

MUNI/G/1211/2017, interní kód MU

Název: Grupové techniky a kvantová informace (Akronym: GRUPIK)

Investor: Masarykova univerzita, Grupové techniky a kvantová informace, INTERDISCIPLINARY - Mezioborové výzkumné projekty

Citovat

KÜHR, Jan a Jan PASEKA. Fleischer po-semigroups and quantum B-algebras. Online. In 2020 IEEE 50th International Symposium on Multiple-Valued Logic (ISMVL). New York: IEEE, 2020, s. 285-290. ISBN 978-1-7281-5406-0. Dostupné z: https://doi.org/10.1109/ISMVL49045.2020.00060.

@inproceedings{1721157,
   author = {Kühr, Jan and Paseka, Jan},
   address = {New York},
   booktitle = {2020 IEEE 50th International Symposium on Multiple-Valued Logic (ISMVL)},
   doi = {https://doi.org/10.1109/ISMVL49045.2020.00060},
   keywords = {Partially ordered semigroup; residuable element; residuated partially ordered semigroup; quantale; quantum B-algebra; Fleischer po-semigroup; (pseudo-) BCK-algebra},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {New York},
   isbn = {978-1-7281-5406-0},
   pages = {285-290},
   publisher = {IEEE},
   title = {Fleischer po-semigroups and quantum B-algebras},
   url = {https://conferences.computer.org/ismvl/pdfs/ISMVL2020-6CeVlZGfQNLgKvukfNXZmZ/540600a285/540600a285.pdf},
   year = {2020}
}

TY  - CONF
ID  - 1721157
AU  - Kühr, Jan - Paseka, Jan
PY  - 2020
TI  - Fleischer po-semigroups and quantum B-algebras
PB  - IEEE
CY  - New York
SN  - 9781728154060
KW  - Partially ordered semigroup
KW  - residuable element
KW  - residuated partially ordered semigroup
KW  - quantale
KW  - quantum B-algebra
KW  - Fleischer po-semigroup
KW  - (pseudo-) BCK-algebra
UR  - https://conferences.computer.org/ismvl/pdfs/ISMVL2020-6CeVlZGfQNLgKvukfNXZmZ/540600a285/540600a285.pdf
L2  - https://conferences.computer.org/ismvl/pdfs/ISMVL2020-6CeVlZGfQNLgKvukfNXZmZ/540600a285/540600a285.pdf
N2  - Following the idea of Fleischer who represented BCK-algebras by means of residuable elements of commutative integral po-monoids, we describe quantum B-algebras as subsets of residuable elements of posemigroups. Moreover, we show that quantum B-algebras correspond one-to-one to what we call Fleischer posemigroups. Such an approach is more economical than using logical quantales introduced by Rump.
ER  -

KÜHR, Jan a Jan PASEKA. Fleischer po-semigroups and quantum B-algebras. Online. In \textit{2020 IEEE 50th International Symposium on Multiple-Valued Logic (ISMVL)}. New York: IEEE, 2020, s.~285-290. ISBN~978-1-7281-5406-0. Dostupné z: https://doi.org/10.1109/ISMVL49045.2020.00060.

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