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http://cris.utm.md/handle/5014/748| Title: | Skew ring extensions and generalized monoid rings | Authors: | COJUHARI, Elena GARDNER, Barry |
Keywords: | skew polynomial ring;skew monoid ring;normalizing extension;subnormalizing extension,;graded ring;algebra | Issue Date: | 2018 | Source: | Cojuhari, E.P., Gardner, B.J. Skew ring extensions and generalized monoid rings. Acta Math. Hungar. 154, 343–361 (2018). https://doi.org/10.1007/s10474-018-0787-x | Journal: | Acta Mathematica Hungarica | Abstract: | A D-structure on a ring A with identity is a family of self-mappings indexed by the elements of a monoid G and subject to a long list of rather natural conditions. The mappings are used to define a generalization of the monoid algebra A[G]. We consider two of the simpler types of D-structure. The first is based on a homomorphism from G to End(A) and leads to a skew monoid ring. We also explore connections between these D-structures and normalizing and subnormalizing extensions. The second type of D-structure considered is built from an endomorphism of A. We use D-structures of this type to characterize rings which can be graded by a cyclic group of order 2. |
Description: | 154 (2) (2018), 343–361 |
URI: | http://cris.utm.md/handle/5014/748 | DOI: | 10.1007/s10474-018-0787-x |
| Appears in Collections: | Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Cojuhari-Gardner2018_Article_SkewRingExtensionsAndGeneraliz.pdf | 723.67 kB | Adobe PDF | View/Open |
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