Rachida El Khalfaoui, Najib Mahdou
Abstract
In this article, we define the ϕ-Krull dimension as a generalization of Krull dimension. This property is treated here as a part of a study on some constractions of rings such as direct products, amalgamation of rings, and trivial ring extensions.
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In this article, we define the ϕ-Krull dimension as a generalization of Krull dimension. This property is treated here as a part of a study on some constractions of rings such as direct products, amalgamation of rings, and trivial ring extensions.
Key concepts: Krull dimension, Mathematics, Global dimension, Dimension theory (algebra), Generalization, Commutative algebra, Pure mathematics, Dimension (graph theory)