Order Relation in Quadratic 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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From an abstract algebraic perspective, an explanation for this can be given as follows: since √ D is irrational, the polynomial t −D is irreducible over Q. Since the ring Q[t] is a PID, the irreducible element t − D generates a maximal ideal (t−D), so that the quotient Q[t]/(t−D) is a field. Moreover, the map Q[ √ D]→ Q[t]/(t −D) which is the identity on Q and sends √ D 7→ t is an isomorphism ...
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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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هدف اصلی از این مطالعه بررسی نوع و میزان استراتژی هایی بود که دانشجویان فارسی زبان رشته ی زبان انگلیسی در حین خواندن یک متن انگلیسی به کار گرفتند. این مطالعه همچنین به بررسی تفاوت های استراتژی های مورد استفاده بین دارندگان سطح بالا و پایین درک مطلب پرداخت. نوع همبستگی بین استراتژی به کار گرفته و درک مطلب از یک سو و استراتژی به کار گرفته و انگیزه از سوی دیگر نیز در این تحقیق مورد آزمایش قرار گرف...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.2307/2047460