Polynomial identities which imply identities of Euler and Jacobi
نویسندگان
چکیده
منابع مشابه
Some Polynomial Identities that Imply Commutativity of Rings
In this paper, we establish some commutativity theorems for certain rings with polynomial constraints as follows: Let R be an associative ring, and for all x, y ∈ R, and fixed non-negative integers m > 1, n ≥ 0, r > 0, s ≥ 0, t ≥ 0, p ≥ 0, q ≥ 0 such that P (x, y) = ±Q(x, y), where P (x, y) = ys[x, y]yt and Q(x, y) = xp[xm, yn]ryq. First,it is shown that a semiprime ring R is commutative if and...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1977
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-32-1-73-78