Ideals,radicals, and structure of additive categories |
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Authors: | Ross Street |
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Institution: | (1) Mathematics Department, Macquarie University, 2109, New South Wales, Australia |
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Abstract: | 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 anoether full, faithful functor into a category of modules over a division ringoid. |
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Keywords: | 18E05 16A20 16A40 |
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