Irreducibility and Reduction Number of Ideals in a One Dimensional Analytically Irreducible Ring

DOI10.1080/00927872.2015.1100304zbMath1358.13006OpenAlexW2425710233MaRDI QIDQ2826085

Faten Khouja

Publication date: 7 October 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1100304

zbMATH Keywords

reduction numbernumerical semigroupanalytically irreducible ringirreducible ideal

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Semigroup rings, multiplicative semigroups of rings (20M25)

Cites Work

• On the class semigroup of a numerical semigroup
• Decompositions of ideals into irreducible ideals in numerical semigroups.
• Local rings of minimal length
• A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring
• Längenberechnung und kanonische Ideale in eindimensionalen Ringen
• One-dimensional almost Gorenstein rings

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