Ontology type: schema:ScholarlyArticle
2019-03-08
AUTHORSHoujun Zhang, Xiaoguang Yan
ABSTRACTQuasi-resolving subcategory, as a generalization of resolving subcategory, was introduced in Zhu (J Algebra 414:6–40, 2014). Let A be an abelian category, X a quasi-resolving subcategory of A and H an Ext-injective cogenerator for X. We study the subcategory consisting of all the objects with finite X-resolution dimension. Furthermore, we investigate the objects with approximations by objects which are either with finite H-resolution dimension or else in X. As applications, we give the finiteness criteria of the homological dimensions in Gorenstein categories of modules and complexes. More... »
PAGES1-16
http://scigraph.springernature.com/pub.10.1007/s41980-019-00215-5
DOIhttp://dx.doi.org/10.1007/s41980-019-00215-5
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