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31. |
Code vertex operator algebras under coordinates change |
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Communications in Algebra,
Volume 27,
Issue 9,
1999,
Page 4587-4605
Chin Hung Lam,
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ISSN:0092-7872
DOI:10.1080/00927879908826717
出版商:Gordon and Breach Science Publishers Ltd.
年代:1999
数据来源: Taylor
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32. |
Upper bounds for the betti numbers of graded ideals of a given length in the exterior algebra |
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Communications in Algebra,
Volume 27,
Issue 9,
1999,
Page 4607-4631
Marilena Crupi,
Rosanna Utano,
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PDF (575KB)
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摘要:
LetEbe the exterior algebra of a finite dimensional vector space over a fieldK. Hilbert functions and Betti numbers of graded idealsi⊂Eare studied. It is shown that there exists a unique graded idealJ⊂Esuch that for all graded idealsI⊂Egenerated in degree ≥ 2 such thatone hasfor alli. Hereis thei-th Betti number of a gradedE-moduleM. The unique idealJwith the above property has “maximal” Hiibert function. Our result is the analogue of a theorem of Valla [10] which he proved for graded ideals in the polynomial ring. We further prove a similar inequality for the Bass numbers ofE/I, and give a combinatorial application.
ISSN:0092-7872
DOI:10.1080/00927879908826718
出版商:Gordon and Breach Science Publishers Ltd.
年代:1999
数据来源: Taylor
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33. |
Editorial board |
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Communications in Algebra,
Volume 27,
Issue 9,
1999,
Page -
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PDF (36KB)
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ISSN:0092-7872
DOI:10.1080/00927879908826686
出版商:Gordon and Breach Science Publishers Ltd.
年代:1999
数据来源: Taylor
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