论文标题
Stickelberger的代数定理
Stickelberger's discriminant theorem for algebras
论文作者
论文摘要
Stickelberger证明，数字字段的判别符与0或1 Modulo 4相一致。我们将其推广到使用线性代数的技术中，将其推广到有限等级的任意（不一定是交换性的）环。我们的证明仅依赖基本矩阵身份，即使在经典案例中也是新的。
Stickelberger proved that the discriminant of a number field is congruent to 0 or 1 modulo 4. We generalize this to an arbitrary (not necessarily commutative) ring of finite rank over the integers using techniques from linear algebra. Our proof, which relies only on elementary matrix identities, is new even in the classical case.
