Abstract
A completely prime ideal P of a ring S is a proper ideal P of S with the property that for every x, y ∈ S, xy ∈ P implies that either x ∈ P or y ∈ P. Notice that if ϕ: S → D is a ring morphism of S into an integral domain D (e.g., a division ring D), then the kernel of ϕ is a two-sided completely prime ideal of S.
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Facchini, A. (2019). Modules of Type ≤ 2. Uniserial Modules. In: Semilocal Categories and Modules with Semilocal Endomorphism Rings. Progress in Mathematics, vol 331. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-23284-9_8
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DOI: https://doi.org/10.1007/978-3-030-23284-9_8
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-23283-2
Online ISBN: 978-3-030-23284-9
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