GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE
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Publication:4796315
DOI10.1081/AGB-120015674zbMath1042.13011OpenAlexW2081012407MaRDI QIDQ4796315
Publication date: 2002
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/agb-120015674
minimal number of generatorsPascal's triangleDilworth numberSperner numberArtin local ringprincipal local ring
Commutative rings and modules of finite generation or presentation; number of generators (13E15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Regular local rings (13H05)
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
- Rings with two-generated ideals
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- Two-generated ideals in non-Noetherian semigroup rings
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- An integer-valued function related to the number of generators of modules over local rings of small dimension
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- The dilworth number of group rings over an artin local ring
- Three results on the number of generators of ideals
- The Number of Generators of Some Homogeneous Ideals
- Group rings R[G with 3-generated ideals when R is artinian]
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