Tidy Noether lattices

DOI10.1007/BF01188383zbMath0632.06021OpenAlexW2067516383MaRDI QIDQ1095170

Linda Becerra

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01188383

zbMATH Keywords

direct summandsmaximal elementlocal Noether latticeintegrally closedprincipal elementquotient latticeunion condition on primes

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Noether lattices (06F10)

Cites Work

• Unnamed Item
• Abstract commutative ideal theory
• Structure theorems for regular local Noether lattices
• Asymptotic and integral closure of elements in multiplicative lattices
• Prime sequences and distributivity in local Noether lattices
• A-Transforms and Hilbert Functions in Local Lattices
• Structure and embedding theorems for unique normal decomposition lattices