Rings used in modal logic and their radicals (Q1862716)
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scientific article; zbMATH DE number 1885699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rings used in modal logic and their radicals |
scientific article; zbMATH DE number 1885699 |
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Rings used in modal logic and their radicals (English)
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15 May 2003
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In this paper the authors prove that each modal Boolean ring without identity can be embedded in a modal Boolean ring with identity. The method they use for the proof is a common one in the case of rings. Moreover, they develop a radical theory for modal Boolean rings for modal logics such as T and S4. They also give a characterization theorem for the semisimple classes of modal Boolean rings.
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modal Boolean ring
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radical
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modal logics
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semisimple classes
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