Complete Intersection Hom Injective Dimension
作者： Sean K. Sather-Wagstaff , Jonathan P. Totushek
DOI: 10.1007/S10468-019-09938-9
关键词: Injective function 、 Mathematics 、 Bounded function 、 Pure mathematics 、 Invariant (mathematics) 、 Local ring 、 Complete intersection 、 Tensor product 、 Conjecture 、 Hom functor
摘要: We introduce and investigate a new injective version of the complete intersection dimension Avramov, Gasharov, Peeva. It is like Sahandi, Sharif, Yassemi in that it built using quasi-deformations. Ours different, however, we use Hom functor place tensor product. show (a) this invariant characterizes property for local rings, (b) fits between classical G-injective Enochs Jenda, (c) provides modules with Bass numbers are bounded by polynomials, (d) improves theorem Peskine, Szpiro, Roberts (Bass’ conjecture).
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sci-hub.se 参考文章(33)
Robin Hartshorne, Residues and duality ,(1966)
Parviz Sahandi, Siamak Yassemi, Tirdad Sharif, Homological flat dimensions arXiv: Commutative Algebra. ,(2007)
Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm, Beyond totally reflexive modules and back Commutative Algebra. pp. 101- 143 ,(2011) , 10.1007/978-1-4419-6990-3_5
Ryo Takahashi, The existence of finitely generated modules of finite Gorenstein injective dimension Proceedings of the American Mathematical Society. ,vol. 134, pp. 3115- 3121 ,(2006) , 10.1090/S0002-9939-06-08428-0
Yuri I. Manin, Sergei I. Gelfand, Methods of Homological Algebra ,(1996)
Lars Winther Christensen, Semi-dualizing complexes and their Auslander categories Transactions of the American Mathematical Society. ,vol. 353, pp. 1839- 1883 ,(2001) , 10.1090/S0002-9947-01-02627-7
Hyman Bass, On the ubiquity of Gorenstein rings Mathematische Zeitschrift. ,vol. 82, pp. 8- 28 ,(1963) , 10.1007/BF01112819
Luchezar L. Avramov, Vesselin N. Gasharov, Irena V. Peeva, Complete intersection dimension Publications mathématiques de l'IHÉS. ,vol. 86, pp. 67- 114 ,(1997) , 10.1007/BF02698901
LL Avramov, H-B Foxby, Ring homomorphisms and finite Gorenstein dimension Proceedings of The London Mathematical Society. ,vol. 75, pp. 241- 270 ,(1997) , 10.1112/S0024611597000348
Maurice Auslander, David A. Buchsbaum, Homological dimension in local rings Transactions of the American Mathematical Society. ,vol. 85, pp. 390- 405 ,(1957) , 10.1090/S0002-9947-1957-0086822-7