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Note on the ideals of cyclic algebras

1937
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Bulletin of the American Mathematical Society
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1. Introduction. The purpose of this note is the generalization of certain results in a recent paper by Latimer f on the number of ideals of given norm in a generalized quaternion algebra. We consider rational cyclic division algebras D of prime degree n(*z2) over the field R of rational numbers. Let o be any maximal order J of D. The reduced discriminant of o is an invariant A=A(D) of D called the discriminant of D, and is of the form A= ±cr w(n-1) , where a = qi • • • q s is the product of

doi:10.1090/s0002-9904-1937-06558-x
fatcat:ov4guolxhzb7bkm5mi6veytuba