Isomorphism of modules under ground ring extensions

DOI10.1016/0022-314X(82)90065-8zbMath0488.12007MaRDI QIDQ1165898

Robert M. Guralnick

Publication date: 1982

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

orderslocal-global principlering of algebraic integersground ring extensions

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04) Extension theory of commutative rings (13B02) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

Module equivalences: Local to global. When primitive polynomials represent units ⋮ The genus of a module ⋮ Representations under ring extensions: Latimer-MacDuffee and Taussky correspondences

Cites Work

• Behavior of integral group representations under ground ring extension
• Equivalence of representations under extensions of local ground rings
• A diophantine problem arising out of similarity classes of integral matrices
• Stable range in commutative rings
• Über die Geschlechter von Gittern über Ordnungen.
• Algebraic integral representations by arbitrary forms
• On -Adic Integral Representations of Finite Groups
• On Orders In Separable Algebras

This page was built for publication: Isomorphism of modules under ground ring extensions