Integral basis of pure prime degree number fields

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DC Field	Value	Language
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.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.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.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
Appears in Collections:	Research Articles

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