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. (Tesi di dottorato, Università degli Studi di Palermo, 2025).
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.
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