On generators of ideals in one-dimensional local rings

DOI10.1080/00927879308824571zbMath0779.13006OpenAlexW1986829171MaRDI QIDQ4029238

Christian Gottlieb

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824571

zbMATH Keywords

local Noetherian ringminimal number of generators of an idealco- lengthsmaximally generated ideals

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Local rings and semilocal rings (13H99)

Related Items

GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE, Choosing generators of modules over local rings, On the biggest maximally generated ideal as the conductor in the blowing up ring, Decompositions of ideals into irreducible ideals in numerical semigroups., Numbers of generators of ideals in zero-dimensional group rings, An integer-valued function related to the number of generators of modules over local rings of small dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Generating ideals in local rings using elements of high degrees