Some Functional Equations in Groups and Rings.
نویسندگان
چکیده
منابع مشابه
Functional Equations for Zeta Functions of Groups and Rings
We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for the subring zeta functions associated to rings, the subgroup, conjugacy and representation zeta functions of finitely generated, torsion-free ...
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Throughout this paper, R will represent an associative ring with center Z(R). A ring R is n-torsion free, where n > 1 is an integer, in case nx = 0, x ∈ R implies x = 0. As usual the commutator xy− yx will be denoted by [x, y]. We will use basic commutator identities [xy,z] = [x,z]y + x[y,z] and [x, yz] = [x, y]z+ y[x,z]. Recall that a ring R is prime if aRb = (0) implies that either a = 0 or b...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1968
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10889