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Title: Resolutions in cotorsion theories
Authors: Akıncı, Karen
Alizade, Rafail
Keywords: Cotorsion theory
Hereditary condition
Special left F-resolution
Special right C-resolution
Issue Date: 2010
Publisher: American Institute of Physics
Source: Akıncı, K., and Alizade, R. (2010). Resolutions in cotorsion theories. AIP Conference Proceedings, 1309, 761-768. doi:10.1063/1.3525203
Abstract: We consider the λ- (μ-) and λ̄- (μ̄-) dimensions of modules taken under a cotorsion theory (F, C) satisfying the Hereditary Condition, and establish some inequalities between the dimensions of the modules of a short exact sequence, not necessarily Hom (F, -) exact. We investigate the question of whether the property of having a (special) F- or C-resolution of length n is resolving, closed under extensions or coresolving and establish some inequalities connecting the λ- (μ-) and λ̄- (μ̄-) dimensions of modules in a short exact sequence. © 2010 American Institute of Physics.
Description: International Conference on Mathematical Science, ICMS; Bolu; Turkey; 23 November 2010 through 27 November 2010
ISSN: 0094-243X
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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