Prime spectra of additive categories. I (Q1373772)
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scientific article; zbMATH DE number 1091341
| Language | Label | Description | Also known as |
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| English | Prime spectra of additive categories. I |
scientific article; zbMATH DE number 1091341 |
Statements
Prime spectra of additive categories. I (English)
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1 April 1998
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Two candidates for the prime spectrum of a non-commutative ring are proposed. The notions are made all the more natural by doing it for additive categories (ringoids) thought of as rings with several objects [\textit{B. Mitchell}, Adv. Math. 8, 1-161 (1972; Zbl 0232.18009)]. Then one of the notions depends only on the additive category while the other is localized at a given object. Semisimple ringoids are revisited.
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torsion theory
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seive
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ringoids
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semisimple
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prime spectrum
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