Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG42__%2F21%3A00556708" target="_blank" >RIV/60162694:G42__/21:00556708 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26220/21:PU139358
Result on the web
<a href="https://www.mdpi.com/2227-7390/9/4/319/htm" target="_blank" >https://www.mdpi.com/2227-7390/9/4/319/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math9040319" target="_blank" >10.3390/math9040319</a>

Result language
angličtina
Original language name
Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
Original language description
The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders. By using a suitable ordering or preordering of groups linear differential operators we construct hypercompositional structures of linear differential operators. Moreover, we construct actions of groups of differential operators on rings of polynomials of one real variable including diagrams of actions-considered as special automata. Finally, we obtain sequences of hypergroups and automata. The examples, we choose to explain our theoretical results with, fall within the theory of artificial neurons and infinite cyclic groups.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)