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.File in questo prodotto:
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