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Stable ideals of identities

✍ Scribed by V. N. Latyshev

Publisher
Springer US
Year
1981
Tongue
English
Weight
446 KB
Volume
20
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES

Rank ideals and Capelli identities
Rank ideals and Capelli identities
✍ Victor Protsak πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 232 KB

We define and study a family of completely prime rank ideals in the universal enveloping algebra U(gl n ). A rank ideal is a noncommutative analogue of a determinantal ideal, the defining ideal for the closure of the set of n Γ— n matrices of fixed rank. We introduce a notion of rank for gl n -module

Resolutions of a-stable ideals
Resolutions of a-stable ideals
✍ Vesselin Gasharov; Takayuki Hibi; Irena Peeva πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 167 KB

Let a = {a 1 a 2 β€’ β€’ β€’ a n } be a sequence of integers or ∞. We introduce a-stable ideals in a polynomial ring and study their homological properties. Our results generalize results on square-free monomial ideals by Aramova, Avramov, Herzog, Hibi, and Srinivasan.

Ideals with Stable Betti Numbers
Ideals with Stable Betti Numbers
✍ Annetta Aramova; JΓΌrgen Herzog; Takayuki Hibi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 91 KB

Componentwise linear ideals were introduced earlier to generalize the result that the Stanley Reisner ideal I 2 of a simplicial complex 2 has a linear resolution if and only if its Alexander dual 2\* is Cohen Macaulay. It turns out that I 2 is componentwise linear if and only if 2\* is sequentially