In this thesis, we aim to describe the structure of ideals of a particular ring extension, called semitrivial extension, and how they relate to the ideals of the base ring R. Semitrivial extensions arise as a generalization of Nagata’s idealization of a module M whenever a suitable morphism M ⊗ M → R is given, allowing to define a concept of multiplication among elements of M.

(2025). On the ideal structure of semitrivial extensions.

On the ideal structure of semitrivial extensions

CANGEMI, Domenico
2025-01-01

Abstract

In this thesis, we aim to describe the structure of ideals of a particular ring extension, called semitrivial extension, and how they relate to the ideals of the base ring R. Semitrivial extensions arise as a generalization of Nagata’s idealization of a module M whenever a suitable morphism M ⊗ M → R is given, allowing to define a concept of multiplication among elements of M.
2025
commutative algebra; ring theory; ring extensions; semitrivial extensions
(2025). On the ideal structure of semitrivial extensions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/671644
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