SOME REMARKS ON CATEGORIES OF MODULES MODULO MORPHISMS WITH ESSENTIAL KERNEL OR SUPERFLUOUS IMAGE

- Journal title : Journal of the Korean Mathematical Society
- Volume 50, Issue 3, 2013, pp.557-578
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2013.50.3.557

Title & Authors

SOME REMARKS ON CATEGORIES OF MODULES MODULO MORPHISMS WITH ESSENTIAL KERNEL OR SUPERFLUOUS IMAGE

Alahmadi, Adel; Facchini, Alberto;

Alahmadi, Adel; Facchini, Alberto;

Abstract

For an ideal of a preadditive category , we study when the canonical functor is local. We prove that there exists a largest full subcategory of , for which the canonical functor is local. Under this condition, the functor , turns out to be a weak equivalence between , and . If is additive (with splitting idempotents), then is additive (with splitting idempotents). The category is ample in several cases, such as the case when

Keywords

preadditive category;additive functor;local functor;essential kernel;superfluous image;

Language

English

Cited by

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