Order relation in Jordan rings and a structure theorem
نویسندگان
چکیده
منابع مشابه
A Theorem on the Structure of Jordan Algebras.
The purpose of this paper is to fill a gap in Albert's structure theory' of abstract Jordan algebras of any characteristic $2, by proving the following: THEOREM A. Let 21 be a finite-dimensional Jordan algebra over a field (. Assume (1) that 21 has an identity element u and (2) that every element of 21 has the form au + z, where a e (D and z is nilpotent. Then 21 = 4u + A3, where Z is a nil sub...
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The theorem of Jordan which I want to discuss here dates from 1872. It is an elementary result on finite groups of permutations. I shall first present its translations in Number Theory and Topology. 1. Statements 1.1. Number theory. Let f = ∑n m=0 amx m be a polynomial of degree n, with coefficients in Z. If p is prime, let Np(f) be the number of zeros of f in Fp = Z/pZ. Theorem 1. Assume (i) n...
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15 صفحه اولOn Jordan left derivations and generalized Jordan left derivations of matrix rings
Abstract. Let R be a 2-torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n 1, then any Jordan left derivation on the ring Tn(R) of all n×n uppe...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1986
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1986-0857926-7