Detailed Information on Publication Record
2015
Filters on Some Classes of Quantum B-Algebras
BOTUR, Michal and Jan PASEKABasic information
Original name
Filters on Some Classes of Quantum B-Algebras
Authors
BOTUR, Michal (203 Czech Republic) and Jan PASEKA (203 Czech Republic, guarantor, belonging to the institution)
Edition
International Journal of Theoretical Physics, NEW YORK, Springer, 2015, 0020-7748
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 1.041
RIV identification code
RIV/00216224:14310/15:00081312
Organization unit
Faculty of Science
UT WoS
000364224200021
Keywords in English
Quantale; Quantum B-algebra; Filter; Prime filter; Pseudo-hoop; Pseudo MTL-algebra
Změněno: 13/12/2015 08:53, prof. RNDr. Jan Paseka, CSc.
Abstract
V originále
In this paper, we continue the study of quantum B-algebras with emphasis on filters on integral quantum B-algebras. We then study filters in the setting of pseudo-hoops. First, we establish an embedding of a cartesion product of polars of a pseudo-hoop into itself. Second, we give sufficient conditions for a pseudohoop to be subdirectly reducible. We also extend the result of Kondo and Turunen to the setting of noncommutative residuated a-semilattices that, if prime filters and a-prime filters of a residuated a-semilattice A coincide, then A must be a pseudo MTL-algebra.
Links
| EE2.3.20.0051, research and development project |
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| GF15-34697L, research and development project |
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