Homogeneous multiplicative polynomial laws are determinants
نویسندگان
چکیده
منابع مشابه
Homogeneous Multiplicative Polynomial Laws Are Determinants
Let R be a ring and let B be a commutative ring. Let p : R −→ B be a homogeneous multiplicative polynomial law of degree n. The main result of this paper is to show that p is essentially a determinant, in the sense that p is obtained from a determinant by left and right composition with ring homomorphisms. This is achieved using results on the invariants of matrices in positive characteristic d...
متن کاملMultiplicative processes and power laws
Takayasu et al. [1] have revisited the question of stochastic processes with multiplicative noise, which have been studied in several different contexts over the past decades. We focus on the regime, found for a generic set of control parameters, in which stochastic processes with multiplicative noise produce intermittency of a special kind, characterized by a power law probability density dist...
متن کاملDeterminants of Multiplicative Toeplitz Matrices1
In this paper we study matrices A = (aij) whose (i, j) -entry is a function of i/j; that is, aij = f(i/j) for some f : Q → C. We obtain a formula for the truncated determinants in the case where f is multiplicative, linking them to determinants of truncated Toeplitz matrices. We apply our formula to obtain several determinants of number-theoretic matrices. Mathematics Subject Classification 200...
متن کاملMultiplicative strong unimodality for positive stable laws
It is known that real Non-Gaussian stable distributions are unimodal, not additive strongly unimodal, and multiplicative strongly unimodal in the symmetric case. By a theorem of Cuculescu-Theodorescu [5], the only remaining relevant situation for the multiplicative strong unimodality of stable laws is the one-sided. In this paper, we show that positive α−stable laws are multiplicative strongly ...
متن کاملThe multiplicative structure on polynomial continuous valuations
We introduce a canonical structure of a commutative associative filtered algebra with the unit on polynomial smooth valuations and study its properties. The induced structure on the subalgebra of translation invariant smooth valuations has especially nice properties (it is the structure of the Frobenius algebra). We also present some applications.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2009
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2008.11.036