Module categories with linearly ordered closed subcategories

Autor:	Jorge E. Viola-Prioli, Robert Wisbauer, Ana M. de Viola-Prioli
Rok vydání:	1994
Předmět:	Combinatorics Algebra and Number Theory Functor Mathematics::Commutative Algebra Mathematics::Category Theory Filter (mathematics) Kernel (category theory) Mathematics
Zdroj:	Communications in Algebra. 22:3613-3627
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927879408825044
Popis:	In an earlier paper the first named authors investigated rings whose kernel functors are linearly ordered. The main tool for describing prop-erties of such rings was the filter of ideals associated to a kernel functor. In the present paper more generally closed module categories (i.e. closed under kernels, cokernels and direct sums) with linearly ordered closed sub-categories are studied. Properties of these categories are given and they are characterized by conditions on special objects, i.e. cogenerators or generators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed44c6d1bc2e941a6c7e9497a3546cee https://doi.org/10.1080/00927879408825044 Zobrazit plný text záznamu