MP-closed subsets in basic algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33145756" target="_blank" >RIV/61989592:15310/12:33145756 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S1793557112500489" target="_blank" >http://dx.doi.org/10.1142/S1793557112500489</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1793557112500489" target="_blank" >10.1142/S1793557112500489</a>
Alternative languages
Result language
angličtina
Original language name
MP-closed subsets in basic algebras
Original language description
A subset M of a given basic algebra is MP-closed if a ? M and a ? b ? M always imply b ? M for b ? a. We get a characterization of MP-closed subsets for commutative basic algebras in terms of closedness in the derived operation ?. If, moreover, the basicalgebra is a chain, then a particular simple condition is derived. For basic algebras which are not commutative we derive only a closedness with respect to the deduction rule Modus Tollens.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Asian-European Journal of Mathematics
ISSN
1793-5571
e-ISSN
—
Volume of the periodical
05
Issue of the periodical within the volume
04
Country of publishing house
SG - SINGAPORE
Number of pages
7
Pages from-to
—
UT code for WoS article
—
EID of the result in the Scopus database
—