Integral basis of pure prime degree number fields
| dc.contributor.author | Jakhar, A. | |
| dc.contributor.author | Sangwan, N. | |
| dc.date.accessioned | 2020-11-21T06:30:01Z | |
| dc.date.available | 2020-11-21T06:30:01Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Let K = ℚ(θ) be an extension of the field ℚ of rational numbers where θ satisfies an irreducible polynomial xp − a of prime degree belonging to ℤ[x]. In this paper, we give explicilty an integral basis for K using only elementary algebraic number theory. Though an integral basis for such fields is already known (see [Trans. Amer. Math. Soc., 11 (1910), 388–392)], our description of integral basis is different and slightly simpler. We also give a short proof of the formula for discriminant of such fields. | en_US |
| dc.identifier.citation | Indian Journal of Pure and Applied Mathematics, 50(2),pp. 309-314. | en_US |
| dc.identifier.other | 10.1007/s13226-019-0326-7 | |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s13226-019-0326-7 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2018 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Link | en_US |
| dc.subject | Algebraic number theory | en_US |
| dc.subject | Though | en_US |
| dc.subject | Integral | en_US |
| dc.title | Integral basis of pure prime degree number fields | en_US |
| dc.type | Article | en_US |