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2. Unit group structure of the quotient ring of a quadratic ring.

Author

Wei, Yangjiang, Su, Huadong, and Liang, Linhua

Subjects
*QUOTIENT rings, *RING theory, *QUADRATIC fields, *RINGS of integers, *GROUP rings, *K-theory, *INTEGERS
Abstract

Let ℚ be the rational filed. For a square-free integer d with d ≠ 0 , 1 , we denote by K = ℚ (d) the quadratic field. Let K be the ring of algebraic integers of K. In this paper, we completely determine the unit group of the quotient ring K / 〈 ξ n 〉 of K for an arbitrary prime ξ in ℚ (d) , where ℚ (d) has the unique factorization property, and n > 1 is a rational integer. [ABSTRACT FROM AUTHOR]

Published
2022
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