Studying monoids is not enough to study multiplicative properties of rings: an elementary approach. (Q2018839)
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scientific article; zbMATH DE number 6419562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Studying monoids is not enough to study multiplicative properties of rings: an elementary approach. |
scientific article; zbMATH DE number 6419562 |
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Studying monoids is not enough to study multiplicative properties of rings: an elementary approach. (English)
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25 March 2015
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Monoids are used in commutative ring theory to simplify the study of multiplicative properties of rings. However, the authors show by using rather simple examples that not all results concerning the multiplication in ring theory can be derived from monoids associated to rings. There are results depending on both the addition and the multiplication defining the ring under consideration.
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multiplicative properties of rings
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multiplications in rings
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