Hilbert-kunz multiplicity, PhanTom projective dimension by specialization
p. 37-43
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oai:112.137.131.14:VNU_123-584142017-09-30T21:07:08Z Hilbert-kunz multiplicity, PhanTom projective dimension by specialization Dam, Van Nhi Hilbert-kunz multiplicity PhanTom projective dimension p. 37-43 The ground field k is assumed to be infinite. Wo denote by K a field extension of k Let X = ( x ir ..,x n) be indeterminates. Let u = ( t i l , u m) be a family of indeterminates, which arc considered as parameters. The specialization of an ideal / of H = fc(u)(x] with respect to the substitution u —y o. = (a i, ...am) 6 K rn was defined as the ideal Ja , which is generated by the set {/( a , x ) \ f ( u , x ) € I u fc[u,x]}. The theory of specialization of ideals was introduced by w . Krull. Krull has showed that the ideal / a inherits most of basic properties if I and it was used to prove many important results in algebra and in algebraic geometry. In a paper, we introducedand studied specializations of finitely generated modules over a local ring Rpy where p is a prime ideal of R , and showed that the multiplicity of a module is preserved through a specialization. Now, the problem of concern is the preservation of Hilbert-Kunz multiplicity and of finite phantom projective dimension of modules through specialization when k has positive prime, characteristic p The purpose of this paper is to prove the preservation of Hilbert-Kunz multiplicity, mixed multiplicity and of finite phantom projective dimension of a module through specializations. 2017-08-28T03:37:42Z 2017-08-28T03:37:42Z 2002 Article 2588-1124 http://repository.vnu.edu.vn/handle/VNU_123/58414 en Vol. 18;No. 4 (2002) application/pdf H. : ĐHQGHN |
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Vietnam National University, Hanoi |
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Vietnam |
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VNU Digital Repository |
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English |
| topic |
Hilbert-kunz multiplicity PhanTom projective dimension |
| spellingShingle |
Hilbert-kunz multiplicity PhanTom projective dimension Dam, Van Nhi Hilbert-kunz multiplicity, PhanTom projective dimension by specialization |
| description |
p. 37-43 |
| format |
Article |
| author |
Dam, Van Nhi |
| author_facet |
Dam, Van Nhi |
| author_sort |
Dam, Van Nhi |
| title |
Hilbert-kunz multiplicity, PhanTom projective dimension by specialization |
| title_short |
Hilbert-kunz multiplicity, PhanTom projective dimension by specialization |
| title_full |
Hilbert-kunz multiplicity, PhanTom projective dimension by specialization |
| title_fullStr |
Hilbert-kunz multiplicity, PhanTom projective dimension by specialization |
| title_full_unstemmed |
Hilbert-kunz multiplicity, PhanTom projective dimension by specialization |
| title_sort |
hilbert-kunz multiplicity, phantom projective dimension by specialization |
| publisher |
H. : ĐHQGHN |
| publishDate |
2017 |
| url |
http://repository.vnu.edu.vn/handle/VNU_123/58414 |
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1680966915808296960 |