Inversion operations in algebraic structures-Reference-Cited by-同舟云学术

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Inversion operations in algebraic structures

Published:2023-12-21 Issue:4 Volume:12 Page:315-322
ISSN:2211-3576
Container-title:Computability
language:
Short-container-title:COM

Author:

Alaev Pavel¹

Affiliation:

1. Sobolev Institute of Mathematics, pr. Koptuga 4, Novosibirks, 630090, Russia

Abstract

We consider a wide series of classes of algorithmic complexity. We fix such a class and investigate the complexity of the inversion operation in classical algebraic structures, like groups or fields. In addition, we analyze the properties of quotient structures.

Publisher

IOS Press

Subject

Artificial Intelligence,Computational Theory and Mathematics,Computer Science Applications,Theoretical Computer Science

Reference8 articles.

1. A.V. Aho, J.E. Hopcroft and J.D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, MA, 1974.

2. Quotient structures and groups computable in polynomial time;Alaev;Lecture Notes in Computer Science,2022

3. Fields of algebraic numbers computable in polynomial time. II;Alaev;Algebra and Logic,2021

4. Searching for applicable versions of computable structures;Alaev;Lecture Notes in Computer Science,2021

5. Polynomial time versus recursive models;Cenzer;Annals of Pure and Applied Logic,1991

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