Publication detail

Sequences of automata formed by groups of polynomials and by semigroups of linear differential operators

CHVALINA, J. STANĚK, D.

Original Title

Sequences of automata formed by groups of polynomials and by semigroups of linear differential operators

English Title

Sequences of automata formed by groups of polynomials and by semigroups of linear differential operators

Type

abstract

Language

en

Original Abstract

The concept of an automaton is a mathematical interpretation of real systems that work in a discrete time-scale. Using linear differential operators there constructing quasi-automata formed by actions of linear differential operator of n-th order on rings of real polynomials and also by actions of polynomials on groups of differential operators. Moreover decreasing and increasing of such quasi-automata are also constructed.

English abstract

The concept of an automaton is a mathematical interpretation of real systems that work in a discrete time-scale. Using linear differential operators there constructing quasi-automata formed by actions of linear differential operator of n-th order on rings of real polynomials and also by actions of polynomials on groups of differential operators. Moreover decreasing and increasing of such quasi-automata are also constructed.

Keywords

Quasi-automaton, ordinary linear differential operator, abelian groups of polynomials of one real variable, sequences of quasi-automaton, sequences of actions of additive groups of polynomials.

Released

31.01.2017

Publisher

Slovak University of Technology

Location

Bratislava

ISBN

978-80-227-4649-6

Book

Aplimat 2017, 16th Conference on Applied Mathematcs, Book of Abstracts

Edition number

1

Pages from

71

Pages to

73

Pages count

2

URL

Documents

BibTex


@misc{BUT135096,
  author="Jan {Chvalina} and David {Staněk}",
  title="Sequences of automata formed by groups of polynomials and by semigroups of linear differential operators",
  annote="The concept of an automaton is a mathematical interpretation of real systems that work in a discrete time-scale. Using linear differential operators there constructing quasi-automata formed by actions of linear differential operator of n-th order on rings of real polynomials and also by actions of polynomials on groups of differential operators. Moreover decreasing and increasing of such quasi-automata are also constructed.",
  address="Slovak University of Technology",
  booktitle="Aplimat 2017, 16th Conference on Applied Mathematcs, Book of Abstracts",
  chapter="135096",
  howpublished="print",
  institution="Slovak University of Technology",
  year="2017",
  month="january",
  pages="71--73",
  publisher="Slovak University of Technology",
  type="abstract"
}