JP Journal of Algebra, Number Theory and Applications
Volume 43, Issue 1, Pages 13 - 21
(July 2019) http://dx.doi.org/10.17654/NT043010013 |
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TOWER FORMULA FOR DISCRIMINANT
M. E. Charkani and A. Soullami
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Abstract: Let R be a commutative ring. Let A be a free R-algebra of finite rank and M be a free bilinear A-module of finite rank. In this work, we establish an interesting tower formula of discriminant of More precisely, we prove that the discriminant of the bilinear module M over R is the product of the norm of discriminant of bilinear module M over A and some power of the classical discriminant of the R‑algebra A. As an application we compute the discriminant of the algebra associated to a B-J polynomial, and the discriminant of some graded fields. |
Keywords and phrases: discriminant, bilinear form, transitivity.
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