共查询到20条相似文献,搜索用时 15 毫秒
1.
Xianzhong Zhao 《Monatshefte für Mathematik》2005,144(2):157-167
Locally closed semirings, iteration semirings and Conway semirings play an important role in the algebraic theory of semirings and theoretical computer science. Z. ésik and W. Kuich showed that a locally closed commutative semiring is an iteration semiring (is also a Conway semiring). By study of polynomial semirings and matrix semirings, we obtain new expressions of certain polynomials and show that all matrix semirings over a locally closed semiring are also locally closed, and so a locally closed semiring (which need not be commutative) is an iteration semiring. 相似文献
2.
Pieter Moree 《manuscripta mathematica》2000,101(3):385-399
A constant of the form , where the product ranges over all sufficiently large primes p and h is rational, is an example of a singular series. We show that this type of singular series can be expanded in the form , where ζ denotes the zeta-function and e k is an integer and use this to numerically approximate them. Gerhard Niklasch in an appendix describes how to obtain more than 1000 decimal accuracy. In some cases the coefficients $e_k$ turn out to be related to conjugacy classes of primitive words in cyclic languages. Received: 12 April 1999 / Revised version: 23 October 1999 相似文献
3.
Feng-Kuo Huang 《Monatshefte für Mathematik》2007,151(1):45-65
This paper continues the investigation of polynomials and formal power series over a ring with various annihilator conditions
which were originally used by Rickart and Kaplansky to abstract the algebraic properties of von Neumann algebras. Results
of Armendariz on polynomial rings over a PP ring are extended to analogous annihilator conditions in nearrings of polynomials
and nearrings of formal power series. These results are somewhat striking since, in contrast to the polynomial ring case,
the nearring of polynomials or formal power series has substitution for its “multiplication” operation. These investigations
provide an alternative viewpoint in illustrating the structure of polynomials and formal power series. Extensions of Rickart
rings to formal power series rings are also discussed.
The author was partially supported by the National Science Council, Taiwan under the grant number NSC 93-2115-M-143-001. 相似文献
4.
Consider the tessellation of the hyperbolic plane by m-gons, ℓ per vertex. In its 1-skeleton, we compute the growth series of vertices, geodesics, tuples of geodesics with common
extremities. We also introduce and enumerate holly trees, a family of proper loops in these graphs. We then apply Grigorchuk’s result relating cogrowth and random walks to obtain
lower estimates on the spectral radius of the Markov operator associated with a symmetric random walk on these graphs.
Received 19 September 2001; in revised form 23 December 2001 相似文献
5.
Ralf Schindler 《Monatshefte für Mathematik》2003,139(4):335-340
We state different versions of the P=?NP problem for infinite time Turing machines. It is observed that PNP collapses to the fact that there are analytic sets which are not Borel.The author thanks J. D. Hamkins, R. Schipperus, and P. Welch for comments on earlier versions of this paper. He thanks Sanders Seliverstov for pointing out an inaccuracy in the first version of the proof of Theorem 2.10.Received April 19, 2002; in revised form June 10, 2002
Published online May 16, 2003 相似文献
6.
In this paper, we continue the study of various annihilator conditions which were used by Rickart and Kaplansky to abstract the algebraic properties of von Neumann algebras. In our main results, we extend results of Armendariz on the Baer and p.p. conditions in a polynomial ring to certain analogous annihilator conditions in a nearring of polynomials. These results are somewhat surprising since, in contrast to the polynomial ring case, the nearring of polynomials has substitution for its multiplication operation. Moreover they indicate connections between the ring and nearring structures on polynomials. Examples are provided to illustrate and delimit our results.This revised version was published online in October 2004 with a corrected Received date.The second author was partially supported by the National Science Council of the Republic of China, Taiwan under grant number NSC 90-2115-M-143-001. 相似文献
7.
The main purpose of this paper is to prove the following result. Let R be a prime ring of characteristic different from two and let T : R → R be an additive mapping satisfying the relation T(x
3) = T(x)x
2 − xT(x)x + x
2
T(x) for all x ∈ R. In this case T is of the form 4T(x) = qx + xq, where q is some fixed element from the symmetric Martindale ring of quotients. This result makes it possible to solve some functional
equations in prime rings with involution which are related to bicircular projections. 相似文献
8.
9.
Yuriy A. Drozd 《manuscripta mathematica》2001,104(2):239-256
10.
George Davie 《Archive for Mathematical Logic》2001,40(8):629-638
Let ω be a Kolmogorov–Chaitin random sequence with ω1: n denoting the first n digits of ω. Let P be a recursive predicate defined on all finite binary strings such that the Lebesgue measure of the set {ω|∃nP(ω1: n )} is a computable real α. Roughly, P holds with computable probability for a random infinite sequence. Then there is an algorithm which on input indices for any such P and α finds an n such that P holds within the first n digits of ω or not in ω at all. We apply the result to the halting probability Ω and show that various generalizations of the result fail. Received: 1 December 1998 / Published online: 3 October 2001 相似文献
11.
Alessandro Zinani 《Monatshefte für Mathematik》2003,139(4):341-348
We calculate E[V
4(C)], the expected volume of a tetrahedron whose vertices are chosen randomly (i.e. independently and uniformly) in the interior of C, a cube of unit volume. We find
The result is in convincing agreement with a simulation of 3000·106 trials.Received February 12, 2002; in revised form August 13, 2002
Published online February 28, 2003 相似文献
12.
We prove the existence of solutions to nonlinear free boundary problem with singularities at given points. 相似文献
13.
Filippo Tolli 《Monatshefte für Mathematik》2001,133(2):163-173
We present a local limit theorem for a measure on the special linear group with entries in a local field.
(Received 20 March 2000; in revised form 8 September 2000) 相似文献
14.
Birgit Elbl 《Archive for Mathematical Logic》2001,40(3):167-188
Context-dependent rules are an obstacle to cut elimination. Turning to a generalised sequent style formulation using deep
inferences is helpful, and for the calculus presented here it is essential. Cut elimination is shown for a substructural,
multiplicative, pure propositional calculus. Moreover we consider the extra problems induced by non-logical axioms and extend
the results to additive connectives and quantifiers.
Received: 11 April 1998 / Published online: 25 January 2001 相似文献
15.
Let d be a squarefree integer with allowed. If (mod 8) it is shown that there do not exist any cubic fields with index 2 whose splitting field contains . If (mod 8) it is shown that there exist infinitely many cubic fields with index 2 and minimal index 2 whose splitting field
contains .
(Received 23 May 2001) 相似文献
16.
We study rings and K-algebras in which all elements or all noncentral elements have smallest possible centralizer. Our principal result asserts
that a ring R must be either finite or commutative if each noncentral element a has centralizer equal to the subring generated by a.
Supported by the Natural Sciences and Engineering Research Council of Canada, Grant 3961.
Authors’ addresses: Howard E. Bell, Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1;
Abraham A. Klein, Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978,
Israel 相似文献
17.
We study almost K?hler-Einstein structures on 8-dimensional Walker manifolds, i.e., pseudo-Riemannian 8-manifolds admitting
a field of parallel null 4-planes, whence the metric is of neutral signature. We construct on
explicit almost K?hler-Einstein Walker metrics which are not K?hler. An appropriate restriction induces examples of such
metrics on the 8-torus, thereby producing a counterexample to Goldberg’s conjecture in the case of neutral signature.
S. Haze passed away on 15 March 2006. 相似文献
18.
19.
Martin Hertweck 《Monatshefte für Mathematik》2002,136(1):1-7
Let G be a finite group whose Sylow 2-subgroups are either cyclic, dihedral, or generalized quaternion. It is shown that a class-preserving
automorphism of G of order a power of 2 whose restriction to any Sylow subgroup of G equals the restriction of some inner automorphism of G is necessarily an inner automorphism. Interest in such automorphisms arose from the study of the isomorphism problem for
integral group rings, see [6, 7, 13, 14].
Received 30 September 2001; in revised form 10 December 2001 相似文献
20.
Bernard de Mathan 《Monatshefte für Mathematik》2001,133(4):341-345
In this short paper, we study Peck’s method in positive characteristic. Curiously enough, the simultaneous approximations this method provides are better than in the real field. (Received 11 January 2001; in revised form 26 March 2001) 相似文献