Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4645
Title: Special precovers in cotorsion theories
Authors: Akıncı, Karen D.
Alizade, Rafail
Keywords: Cotorsion theory
Hereditary condition
Special pre-envelope
Special precover
Issue Date: Jun-2002
Publisher: Cambridge University Press
Source: Akıncı, K. D., and Alizade, R. (2002). Special precovers in cotorsion theories. Proceedings of the Edinburgh Mathematical Society, 45(2), 411-420. doi:10.1017/S001309150000122X
Abstract: A cotorsion theory is defined as a pair of classes Ext-orthogonal to each other. We give a hereditary condition (HC) which is satisfied by the (flat, cotorsion) cotorsion theory and give properties satisfied by arbitrary cotorsion theories with an HC. Given a cotorsion theory with an HC, we consider the class of all modules having a special precover with respect to the first class in the cotorsion theory and show that this class is closed under extensions. We then raise the question of whether this class is resolving or coresolving.
URI: http://dx.doi.org/10.1017/S001309150000122X
http://hdl.handle.net/11147/4645
ISSN: 0013-0915
0013-0915
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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