The Classification of Integral Domains in Which the Relation of Being an Ideal Is Transitive

DOI10.1081/AGB-120018987zbMath1075.13009MaRDI QIDQ4807572

Ryszard R. Andruszkiewicz

Publication date: 19 May 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

filial integral domains

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Euclidean rings and generalizations (13F07)

Related Items

The Classification of Commutative, Noetherian, Filial Rings with Identity, Unnamed Item, A torsion-free abelian group of finite rank exists whose quotient group modulo the square subgroup is not a nil-group, ON FULLY FILIAL TORSION RINGS, On the Square Subgroup of a MixedSI-Group, Note on some ideals of associative rings., ON COMMUTATIVE REDUCED FILIAL RINGS, THE CLASSIFICATION OF COMMUTATIVE TORSION FILIAL RINGS, Veldsman's classes of associative rings, A Curious Characterization of Subrings of the Field Q and Applications, Imbedding a Filial Ring with Identity, On additive groups of associative and commutative rings, A Classification of Commutative Reduced Filial Rings, ACCESSIBLE SUBRINGS AND KUROSH’S CHAINS OF ASSOCIATIVE RINGS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An almost subidempotent radical property
• Varieties of t–groups
• Polynomials with roots modulo every integer
• On finite solvable groups in which normality is a transitive relation
• On the dualization of subdirect embeddings