Quadratic structures associated to (multi)rings
We consider certain pairs (A, T) where A is a (multi)ring andT ⊆ A is a multiplicative set that generates, by a convenient quotient construction,a (multi)structure that supports a quadratic form theory: withsome natural hypotheses we generalize constructions previously presentedin [3] and [6]. This...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Shahid Beheshti University
2022-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_101430_bb0f3ec01ae0ca89d6f8082aef1b5b76.pdf |
| Summary: | We consider certain pairs (A, T) where A is a (multi)ring andT ⊆ A is a multiplicative set that generates, by a convenient quotient construction,a (multi)structure that supports a quadratic form theory: withsome natural hypotheses we generalize constructions previously presentedin [3] and [6]. This also provides some steps towards an abstract formallyreal quadratic form theory (non necessarily reduced) were the forms havegeneral coefficients (non only units). |
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| ISSN: | 2345-5853 2345-5861 |