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| Title: | A class of simple derivations of polynomial ring k[x 1,x 2,…,x n] |
| Authors: | Mishra, Sumit Chandra Mondal, Dibyendu Shukla, Pankaj |
| Issue Date: | 2026 |
| Publisher: | Taylor and Francis Ltd. |
| Citation: | Mishra, S. C., Mondal, D., & Shukla, P. (2026). A class of simple derivations of polynomial ring k[x 1,x 2,…,x n]. Communications in Algebra, 54(4), 1492–1501. https://doi.org/10.1080/00927872.2025.2557375 |
| Abstract: | Let k be a field of characteristic zero. Let m and (Formula presented.) be positive integers. For (Formula presented.), let (Formula presented.) with the k-derivation (Formula presented.) given by (Formula presented.). We prove that for integers (Formula presented.) and (Formula presented.), (Formula presented.) is a simple k-derivation of (Formula presented.) and (Formula presented.) contains no units. This generalizes a result of D. A. Jordan [5]. We also show that the isotropy group of (Formula presented.) is conjugate to a subgroup of translations. © 2025 Taylor & Francis Group, LLC. |
| URI: | https://dx.doi.org/10.1080/00927872.2025.2557375 https://dspace.iiti.ac.in:8080/jspui/handle/123456789/17878 |
| ISSN: | 0092-7872 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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