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Izvestiya: Mathematics, 2013, Volume 77, Issue 4, Pages 696–699
DOI: https://doi.org/10.1070/IM2013v077n04ABEH002656 (Mi im8023) 		 
Generation of modules and transcendence degree of zero-cycles

S. O. Gorchinskiy

Steklov Mathematical Institute of the Russian Academy of Sciences
English version PDF (185 kB)
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DOI: https://doi.org/10.1070/IM2013v077n04ABEH002656
Abstract: We construct an example of a regular algebra over $\mathbb C$ of dimension $d$ and a projective module of rank $r$ over this algebra which is not generated by $d+r-1$ elements. This strengthens Swan's well-known example over the field of real numbers.
Keywords: modules over rings, Chow groups.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00145-а
12-01-31506_мол-а
12-01-33024_мол-а-вед
Ministry of Education and Science of the Russian Federation МК-4881.2011.1
НШ-5139.2012.1
11.G34.31.0023
Received: 02.07.2012
Revised: 09.11.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 4, Pages 55–58
DOI: https://doi.org/10.4213/im8023
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 13E15, 14C25
Language: English
Original paper language: Russian
Citation: S. O. Gorchinskiy, “Generation of modules and transcendence degree of zero-cycles”, Izv. RAN. Ser. Mat., 77:4 (2013), 55–58; Izv. Math., 77:4 (2013), 696–699
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:168
    English version PDF:8
    References:37
    First page:9
     
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