Unit group structure of the quotient ring of a quadratic ring

DOI10.1142/S021949882350010XOpenAlexW3201966606MaRDI QIDQ5046115

Linhua Liang, Yangjiang Wei, Huadong Su

Publication date: 27 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949882350010x

zbMATH Keywords

quadratic fieldunit groupquotient ringquadratic ring

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Algebraic numbers; rings of algebraic integers (11R04) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
• Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals. II
• The Structure of the Unit Group of the Group Algebra
• The Euler φ-Function in the Gaussian Integers
• The Structure of the Unit Group of the Group Algebra 𝔽_3^k(C₃ × D₆)

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