共查询到20条相似文献,搜索用时 15 毫秒
1.
Erkki Mäkinen 《BIT Numerical Mathematics》1985,25(1):293-296
It is shown that the depth-first Szilard language associated with the depth-first derivations of a context-free grammar is ans-language.This work was supported by the Academy of Finland. 相似文献
2.
M. Samman 《International Journal of Mathematical Education in Science & Technology》2013,44(1):98-101
In this note, the notion of reverse derivation is studied. It is shown that in the class of semiprime rings, this notion coincides with the usual derivation when it maps a semiprime ring into its centre. However, we provide some examples to show that it is not the case in general. 相似文献
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Stéphane Launois 《代数通讯》2017,45(3):1294-1313
Cauchon [5] introduced the so-called deleting derivations algorithm. This algorithm was first used in noncommutative algebra to prove catenarity in generic quantum matrices, and then to show that torus-invariant primes in these algebras are generated by quantum minors. Since then this algorithm has been used in various contexts. In particular, the matrix version makes a bridge between torus-invariant primes in generic quantum matrices, torus orbits of symplectic leaves in matrix Poisson varieties and totally non-negative cells in totally non-negative matrix varieties [12]. This led to recent progress in the study of totally non-negative matrices such as new recognition tests [18]. The aim of this article is to develop a Poisson version of the deleting derivations algorithm to study the Poisson spectra of the members of a class 𝒫 of polynomial Poisson algebras. It has recently been shown that the Poisson Dixmier–Moeglin equivalence does not hold for all polynomial Poisson algebras [2]. Our algorithm allows us to prove this equivalence for a significant class of Poisson algebras, when the base field is of characteristic zero. Finally, using our deleting derivations algorithm, we compare topologically spectra of quantum matrices with Poisson spectra of matrix Poisson varieties. 相似文献
6.
A. C. Kimber 《Probability Theory and Related Fields》1983,63(4):551-552
7.
Aequationes mathematicae - In this note we prove that every Jordan derivation on a triangular ring is a derivation. Moreover, we show that, under some conditions, every Jordan derivation on a... 相似文献
8.
Let k ? k′ be a field extension. We give relations between the kernels of higher derivations on k[X] and k′[X], where k[X]:= k[x 1,…, x n ] denotes the polynomial ring in n variables over the field k. More precisely, let D = {D n } n=0 ∞ a higher k-derivation on k[X] and D′ = {D′ n } n=0 ∞ a higher k′-derivation on k′[X] such that D′ m (x i ) = D m (x i ) for all m ? 0 and i = 1, 2,…, n. Then (1) k[X] D = k if and only if k′[X] D′ = k′; (2) k[X] D is a finitely generated k-algebra if and only if k′[X] D′ is a finitely generated k′-algebra. Furthermore, we also show that the kernel k[X] D of a higher derivation D of k[X] can be generated by a set of closed polynomials. 相似文献
9.
Cheng-Kai Liu 《Journal of Mathematical Analysis and Applications》2011,384(2):192-197
In this note we characterize a complex Banach algebra A admitting a generalized derivation g such that the cardinality of the spectrum σ(g(x)) is exactly one for all x∈A. 相似文献
10.
Daniel Daigle Gene Freudenburg 《Proceedings of the American Mathematical Society》2001,129(3):657-662
For a field of characteristic zero, and for each integer , we construct a triangular derivation of whose ring of constants, though finitely generated over , cannot be generated by fewer than elements.
11.
Let \(\mathcal {R}\) be a prime ring, \(\mathcal {Z(R)}\) its center, \(\mathcal {C}\) its extended centroid, \(\mathcal {L}\) a Lie ideal of \(\mathcal {R}, \mathcal {F}\) a generalized skew derivation associated with a skew derivation d and automorphism \(\alpha \). Assume that there exist \(t\ge 1\) and \(m,n\ge 0\) fixed integers such that \( vu = u^m\mathcal {F}(uv)^tu^n\) for all \(u,v \in \mathcal {L}\). Then it is shown that either \(\mathcal {L}\) is central or \(\mathrm{char}(\mathcal {R})=2, \mathcal {R}\subseteq \mathcal {M}_2(\mathcal {C})\), the ring of \(2\times 2\) matrices over \(\mathcal {C}, \mathcal {L}\) is commutative and \(u^2\in \mathcal {Z(R)}\), for all \(u\in \mathcal {L}\). In particular, if \(\mathcal {L}=[\mathcal {R,R}]\), then \(\mathcal {R}\) is commutative. 相似文献
12.
Let R be a prime ring of characteristic not 2, A be an additive subgroup of R, and F, T, D, K: A-R be additive maps such that F([x, y]) = F(x)y-yK(x)-T(y)x + xD(y) for all x, yEA. Our aim is to deal with this functional identity when A is R itself or a noncentral Lie ideal of R. Eventually, we are able to describe the forms of the mappings F, T, D, and K in case A = R with deg(R) > 3 and also in the case A is a noncentral Lie ideal and deg(R) > 9. These enable us in return to characterize the forms of both generalized Lie derivations, D-Lie derivations and Lie centralizers of R under some mild assumptions. Finally, we give a generalization of Lie homomorphisms on Lie ideals. 相似文献
13.
Shengqiang Wang 《Frontiers of Mathematics in China》2017,12(1):209-218
We compute explicitly the modular derivations for Poisson-Ore extensions and tensor products of Poisson algebras. 相似文献
14.
J. T. Chen C. S. Wu 《International Journal of Mathematical Education in Science & Technology》2013,44(2):165-185
Poisson integral formula is revisited. The kernel in the Poisson integral formula can be derived in a series form through the direct BEM free of the concept of image point by using the null-field integral equation in conjunction with the degenerate kernels. The degenerate kernels for the closed-form Green's function and the series form of Poisson integral formula are also derived. Two and three-dimensional cases are considered. Also, interior and exterior problems are both solved. Even though the image concept is required, the location of image point can be determined straightforward through the degenerate kernels instead of the method of reciprocal radii. 相似文献
15.
In this note two characteristic theorems of Poisson processes are given. If {N(t);t0} is a renewal process,U
t
,V
t
are, respectively, the time since the last renewal and the time to the next renewal att, Z
t
=U
t
+V
t
, then a Poisson process can be characterized by the limiting independene of the joint distribution of (U
t
,V
t
) whent, orEZ
t
, or the distribution ofZ
t
. 相似文献
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In the present paper, we establish the stability and the superstability of a functional inequality corresponding to the functional equation fn(xyx) = ∑i+j+k=n fi(x)fj (y)fk(x). In addition, we take account of the problem of Jacobson radical ranges for such functional inequality. 相似文献
19.
Ecaterina Sava 《Monatshefte für Mathematik》2010,124(1):379-396
The main goal of this paper is to determine the Poisson boundary of lamplighter random walks over a general class of discrete
groups Γ endowed with a “rich” boundary. The starting point is the Strip Criterion of identification of the Poisson boundary
for random walks on discrete groups due to Kaimanovich (Ann. Math. 152:659–692, 2000). A geometrical method for constructing
the strip as a subset of the lamplighter group
\mathbb Z2\wr G{\mathbb {Z}_{2}\wr \Gamma} starting with a “smaller” strip in the group Γ is developed. Then, this method is applied to several classes of base groups
Γ: groups with infinitely many ends, hyperbolic groups in the sense of Gromov, and Euclidean lattices. We show that under
suitable hypothesis the Poisson boundary for a class of random walks on lamplighter groups is the space of infinite limit
configurations. 相似文献