On weakly prime ideals and weak Krull dimension
Youssef Zahir, Abdeslam Mimouni, Najib Mahdoua
Publication date: 5 June 2024
Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)
Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Homological dimension in associative algebras (16E10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Injective and flat modules and ideals in commutative rings (13C11)
Cites Work
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- Idealization of a module
- Trivial extensions defined by Prüfer conditions
- Commutative coherent rings
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- ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
- Trivial Extensions Defined by Coherent-like Conditions
- Unique factorization rings with zero divisors
- Radical factorization for trivial extensions and amalgamated duplication rings
- ON WEAKLY 2-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
- Matlis' semi-regularity and semi-coherence in trivial ring extensions: a survey
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