Ideals, radicals, and structure of additive categories
نویسنده
چکیده
Simple and semisimple additive categories are studied. We prove, for example, that an artinian additive category is (semi)simple iff it is Morita equivalent to a division ring(oid). Semiprimitive additive categories (that is, those with zero radical) are those which admit a noether full, faithful functor into a category of modules over a division ringoid. Mathematics Subject Classifications (1991). 18E05, 16A20, 16A40.
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ورودعنوان ژورنال:
- Applied Categorical Structures
دوره 3 شماره
صفحات -
تاریخ انتشار 1995