Skew polynomial superrings
- Publisher:
- Springer Science and Business Media LLC
- Publication Type:
- Journal Article
- Citation:
- Soft Computing, 2022, 26, (21), pp. 11277-11286
- Issue Date:
- 2022-11-01
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s00500-022-07372-6.pdf | Published version | 309.46 kB |
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The purpose of this paper is to define the skew polynomial superrings arising from Krasner (hyperfields) hyperrings and study their ideals and some of their properties. In this work, we showed that the skew polynomial superrings are principal superideal superdomains which are not necessarily commutative. We also proved the division theorem for these skew polynomial superrings and provided an algorithm for the decomposition of a polynomial to a product of some irreducible polynomials.
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