Work

Monogenity of the Composition of Polynomials

Year: 2025

Type: article

Abstract: One of the important problems in algebraic number theory is to study the monogenity of number fields. Monogenic number fields arise from the roots of monogenic polynomials. In this article, we deal with the problem of monogenity of the composition of two monic polynomials having integer coefficients. We provide necessary and sufficient conditions for the composition to be monogenic together with a further sufficient condition. At the end of the paper, we construct an infinite tower of monogenic number fields.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s000497272500022x

Author: SURENDER KUMAR

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

OpenAlex ID: W4410189711

FWCI:

Cites: 9

Cited by:

Related to: 10