1. Introduction. Let T be a transformation of the set of ... - Project Euclid
Recommend Documents
Jun 14, 2000 - finiteness of the set of prime ideals of R that expand to a given ideal of S. To this end we introduce the notions of. GD(1) domains and GD(2) ...
i = 1,2,...,N. Ïi is called a singular value of A, ui and vi are the associate left and ... Finally, the eigenvalues of ËA are ±Ïi, and the associate eigenvectors are (uT.
Aug 12, 1983 - Strassen showed in [7], one has $\tilde{d}(\mu, \nu)=\inf\{\epsilon:\mu(A)\leqq\nu(A)+\epsilon$ for all Borel sets $A\subset X$ }. The induced ...
ON INTEGRAL REPRESENTATIONS. BY ANDREAS DRESS .... in (&ueU (M| u)u^G- One can develop a theory of U-projective RG- modules completely ...
A domain Z>
for processes of the form Xn = c~* 2^-j Yt with increasing câ's and indepen- ... Fâ = Fm for all n9 m E N, a semiamart has a necessarily integrable supremum.
Then Classical Invariant Theory (CIT) describes the generators and relations ... Moreover, the relations are generated by ones of degrees 6,7, and 8 in the.
In 1973, R. Bowen [5] constructed Markov families for Axiom. A flows. ..... [11] M. Rees, Checking ergodicity of some geodesic flows with infinite Gibbs measure,.
a Gorenstein ring in terms of the elements / and g in Huneke's condition. [11, Theorem 3.1] of Rs(p) being Noetherian. They furthermore explored the prime ...
In this paper we prove that for an integer k such that |k| â¥. 2, the D(â2k + ... is said to have the property D(n) if ai · aj + n is a perfect square for all. 1 ⤠i
The following argument is obviously invalid: Someone is a Democrat. Hence Richard Nixon is a Democrat. Nevertheless, a "proof" for this argument can be ...
Dec 15, 1999 - (after Proposition 1) to show that it is essential for X to contain the copy J(Y ) of Y for the ..... for short) if, for every family {B(xj,γj)}n j=1 of n closed ...
ON THE DECOMPOSITION OF MODULES. BY ANDREAS DRESS. Communicated by Hyman Bass, March 3, 1969. Let R be a commutative ring with 1G-R, ...
$1/t^{t}$. $=$. 1. The constant $t$ is optimal as far as the type constant is 1. By a duality argument analogous results are also obtained for cotype inequalities for ...
Nov 12, 2009 - Z. ARVASËI, T.S. KUZPINARI and E.¨O. USLU. (communicated by ... Ellis-Stein [17] showed that catn-groups are equivalent to ... (iii) It gives a possible way of generalising n-crossed modules (or equivalently n- groups (see ...
COMMUNICATIONS IN INFORMATION AND SYSTEMS c 2006 International Press. Vol. ... ROBERT J. ELLIOTT AND SIMON HAYKIN. Suppose for each k = 0, 1, ...
Dec 13, 1984 - Let X(x9 y) = (ax + by + F(x, y)9 ex + dy + G(x, y)) be a vector field ... Ix4 + ax3 + (d â m) x2 â bx + n has no real roots different from zero.
be a two-dimensional, rational, normal compact Gorenstein space over F. ... k ^ 8 ([12]). The number n of vertices of Î is always less than or equal to 9 âd; if n â.
obtained by adding only Cformulas to the smallest SLL Lu. In § 2, we ... the set of formulas derivable from A1-A5, that is,Lu is the smallest SLL. .... U {(0,y)\yeN}.
Mar 15, 2002 - (Discrete) Gruss' inequality, a complement of $6eby\check{s}evs$ in- ..... [5] S. IZUMINO, H. MORI and Y. SEO, On Ozeb's inequality, J. Inequal.
n â 1 and n, respectively, after killing the common factors, we arrive at a new rational .... A counterexample below destroys our dream for the first question,.
1. Introduction. Let T be a transformation of the set of ... - Project Euclid
Nov 4, 1988 - of such "zero-mapping" transformations can be found in the. Laguerre-P olya-Schur theory of multiplier sequences. Others follow from the ...