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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F21%3APU139358" target="_blank" >RIV/00216305:26220/21:PU139358 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/60162694:G42__/21:00556708

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Mathematics

ISSN

2227-7390

e-ISSN

—

Svazek periodika

9

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

16

Strana od-do

1-16

Kód UT WoS článku

000624169800001

EID výsledku v databázi Scopus

2-s2.0-85100970855