Revisiting Kabbaj’s conjecture on Nagata rings: New counterexamples and theoretical insights
In 1990, Kabbaj proposed a conjecture on Nagata rings, which was disproven by Ayache in 1995 with a two-dimensional counterexample. This paper aims to provide theoretical results enabling the construction of new counterexamples for any Krull dimension [Formula: see text], distinct from Ayache’s example.
Authors
- Naseam Al-Kuleab (ORCID: https://orcid.org/0000-0003-1936-0498)
- Noômen Jarboui (ORCID: https://orcid.org/0000-0001-7121-5154)
Institutions
- King Faisal University (SA)
- Sultan Qaboos University (OM)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-08-22
- DOI
- https://doi.org/10.1142/s0219498827500216
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00