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http://cris.utm.md/handle/5014/749| Title: | SUBNORMALIZING EXTENSIONS AND D-STRUCTURES | Authors: | COJUHARI, Elena GARDNER, Barry |
Keywords: | skew polynomial ring;skew monoid ring;subnormalizing extension;higher derivation | Issue Date: | 2018 | Journal: | Romai Journal | Abstract: | If S is a subnormalizing extension [7] of a ring R with identity generated by a set which is a multiplicative submonoid of S and generates S as a free unital left R-module, then using the left and right module structures of S one can define a set of mappings R → R which satisfy all but (possibly) one of the requirements for a D-structure [2], [3], [4]. It remains unknown whether this remaining condition must in fact be satisfied, but we show that it is satisfied for a number of particular monoids and is at least partially satisfied in general. In the other direction it is known that many but by no means all D-structures are linked to subnormalizing extensions in this way. |
Description: | Vol.14, No.2, pp. 59-66 |
URI: | http://cris.utm.md/handle/5014/749 | ISSN: | 2065-7714 |
| Appears in Collections: | Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Cojuhari.pdf | 322.99 kB | Adobe PDF | View/Open |
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