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On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves
Paperback
ISBN13: 9781025875804
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 24
Weight: 0.11
Height: 0.05 Width: 6.14 Depth: 9.21
Language: English
On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves is a rigorous mathematical treatise exploring the behavior of algebraic expressions under specific transformations. Author Eli Gourin provides a detailed investigation into the conditions and properties that cause an irreducible polynomial in several variables to become reducible once those variables are substituted with their own powers. This work serves as a significant contribution to the field of algebra, focusing on the intricate mechanics of polynomial decomposition and the stability of irreducibility.
Throughout the text, Gourin develops theoretical frameworks and provides proofs that address complex questions in algebraic theory. The study is particularly relevant for scholars and students of mathematics interested in the properties of multivariable functions and the fundamental nature of algebraic equations. By isolating the factors that lead to reducibility in these specific contexts, the work offers valuable insights into number theory and the broader study of mathematical structures. On Irreducible Polynomials in Several Variables Which Become Reducible When the Variables Are Replaced by Powers of Themselves remains a notable academic resource for understanding the nuances of polynomial theory and variable-based transformations.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
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