The dilworth number of group rings over an artin local ring

DOI10.1080/00927870008827106zbMath0961.16015OpenAlexW2089367466MaRDI QIDQ4515475

Souâd Ameziane Hassani, J. S. Okon, J. Paul Vicknair, Salah-Eddine Kabbaj

Publication date: 27 February 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827106

zbMATH Keywords

group ringsminimal numbers of generatorsArtin local ringsDilworth numbersSperner numbers

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (2)

GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE ⋮ Numbers of generators of ideals in a group ring of an elementary Abelian \(p\)-group

Cites Work

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• The upper bound of the Dilworth number and the Rees number of Noetherian local rings with a Hilbert function
• Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras
• The Dilworth number of Artin Gorenstein rings
• Group rings with n-generated ideals
• Numbers of generators of ideals in zero-dimensional group rings
• Group rings R[G with 3-generated ideals when R is artinian]

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