共查询到20条相似文献,搜索用时 15 毫秒
1.
$
\mathcal{I}_g
$
\mathcal{I}_g
-normal and $
\mathcal{I}_g
$
\mathcal{I}_g
-regular spaces are introduced and various characterizations and properties are given. Characterizations of normal, mildly
normal, g-normal, regular and almost regular spaces are also given. 相似文献
2.
We present a connection between
-algebras and Yangians in the case of gl(N) algebras, as well as for twisted Yangians and super-Yangians. We illustrate this connection, which allows constructing an R-matrix for the
-algebras and classifying their finite-dimensional irreducible representations, in the framework of the nonlinear Schrödinger equation in 1+1 dimensions. 相似文献
3.
A group G is called a ${\mathcal {T}_{c}}$ -group if every cyclic subnormal subgroup of G is normal in G. Similarly, classes ${\mathcal {PT}_{c}}$ and ${\mathcal {PST}_{c}}$ are defined, by requiring cyclic subnormal subgroups to be permutable or S-permutable, respectively. A subgroup H of a group G is called normal (permutable or S-permutable) cyclic sensitive if whenever X is a normal (permutable or S-permutable) cyclic subgroup of H there is a normal (permutable or S-permutable) cyclic subgroup Y of G such that ${X=Y \cap H}$ . We analyze the behavior of a collection of cyclic normal, permutable and S-permutable subgroups under the intersection map into a fixed subgroup of a group. In particular, we tie the concept of normal, permutable and S-permutable cyclic sensitivity with that of ${\mathcal {T}_c}$ , ${\mathcal {PT}_c}$ and ${\mathcal {PST}_c}$ groups. In the process we provide another way of looking at Dedekind, Iwasawa and nilpotent groups. 相似文献
4.
A. V. Kartashova 《Russian Mathematics (Iz VUZ)》2009,53(4):20-25
We consider the variety of unary algebras 〈A, f, g〉 defined by the identities f(g(x)) = g(f(x)) = x. We describe algebras of this variety, whose topology lattices are modular, distributive, linearly ordered, complemented, or pseudocomplemented. 相似文献
5.
V. Renukadevi 《Acta Mathematica Hungarica》2009,122(4):329-338
We characterize and discuss the properties of $
\mathcal{I}R
$
\mathcal{I}R
-closed sets and $
A_{\mathcal{I}R}
$
A_{\mathcal{I}R}
-sets. Also, we give characterizations of weakly $
\mathcal{I}
$
\mathcal{I}
-locally closed sets and $
\mathcal{I}
$
\mathcal{I}
-submaximal spaces. A characterization of codense ideals in terms of $
\mathcal{I}R
$
\mathcal{I}R
-closed sets is also given. 相似文献
6.
Positivity - The result of the title is: an archimedean $$\ell $$ -group with weak unit A is (isomorphic to) $$C(\mathcal {L})$$ for some (identifiable) locale $$\mathcal {L}$$ (or, $$\mathbb... 相似文献
7.
Tomasz Brengos 《Algebra Universalis》2011,65(1):73-89
H. P. Gumm and T. Schröder stated a conjecture that the preservation of preimages by a functor T for which |T1| = 1 is equivalent to the satisfaction of the class equality \({{\mathcal {HS}}({\sf K}) = {\mathcal {SH}}({\sf K})}\) for any class K of T-coalgebras. Although T. Brengos and V. Trnková gave a positive answer to this problem for a wide class of Set-endofunctors, they were unable to find the full solution. Using a construction of a rigid unary algebra we prove \({{\mathcal {HS}} \neq {\mathcal {SH}}}\) for a class of Set-endofunctors not preserving non-empty preimages; these functors have not been considered previously. 相似文献
8.
We construct the category of quotients of
-spaces and we show that it is Abelian. This answers a question of L. Waelbroeck from 1990. 相似文献
9.
Let
denote the class of ergodic probability preserving transformations which are disjoint from every weakly mixing system. Let
be the class of multipliers for
, i.e. ergodic transformations whose all ergodic joinings with any element of
are also in
. Fix an ergodic rotationT, a mildly mixing actionS of a locally compact second countable groupG and an ergodic cocycle ϕ forT with values inG. The main result of the paper is a sufficient (and also necessary by [LeP] whenG is countable Abelian andS is Bernoullian) condition for the skew product build fromT, ϕ andS to be an element of
. Moreover, the self-joinings of such extensions ofT are described with an application to study semisimple extensions of rotations.
Dedicated to Hillel Furstenberg on the occasion of his retirement
The first-named author was supported in part by CRDF, grant UM1-2546-KH-03.
The second-named author was supported in part by KBN grant 1P03A 03826. 相似文献
10.
P. A. Valinevich S. E. Derkachov D. Karakhanyan R. Kirschner 《Journal of Mathematical Sciences》2008,151(2):2848-2858
The Yang-Baxter operator is obtained as a product of operators that permute representation parameters in the Lax operators.
The construction relies on a factorization of the Lax operator into triangular matrices. Bibliography: 13 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 347, 2007, pp. 88–106. 相似文献
11.
B. M. Zupnik 《Theoretical and Mathematical Physics》2010,162(1):74-89
We consider the map of three-dimensional N=4 superfields to the N=3 harmonic superspace. The left and right representations of the N=4 superconformal group are constructed on N=3 analytic superfields. These representations are convenient for describing N=4 superconformal couplings of Abelian gauge superfields to hypermultiplets. We investigate the N=4 invariance in the non-Abelian N=3 Yang-Mills theory. 相似文献
12.
O. Duman 《Czechoslovak Mathematical Journal》2007,57(1):367-375
Using the concept of
-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate
weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity
and the elements of the Lipschitz class. 相似文献
13.
In this paper, several nonexistence results on generalized bent functions \(f:\mathbb {Z}_{2}^{n} \rightarrow \mathbb {Z}_{m}\) are presented by using the knowledge on cyclotomic number fields and their imaginary quadratic subfields. 相似文献
14.
Hengwu Zheng 《Semigroup Forum》1995,51(1):217-223
In this paper we describe the strong
-congruences on
-regular semigroups in terms of their characteristic kernels and characteristic traces.
This paper formed a part of the author's doctoral dissertation, written under the direction of Professor Yuqi Guo at Lanzhou
University. The author wishes to give many thanks to the supervisor for his encouragement and help. 相似文献
15.
16.
New Berhstein-type inequalities are obtain for 2-periodic
-splines associated with a differential operator
of degree r with fixed real coefficients.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 10–20, January, 1993. 相似文献
17.
Kenley Jung 《Mathematische Annalen》2007,338(1):241-248
Suppose M is a tracial von Neumann algebra embeddable into (the ultraproduct of the hyperfinite II1-factor) and X is an n-tuple of selfadjoint generators for M. Denote by Γ(X; m, k, γ) the microstate space of X of order (m, k ,γ). We say that X is tubular if for any ε > 0 there exist and γ > 0 such that if then there exists a k × k unitary u satisfying for each 1 ≤ i ≤ n. We show that the following conditions are equivalent:
Research supported in part by the NSF.
Dedicated to Ed Effros on the occasion of his 70th birthday. 相似文献
• | M is amenable (i.e., injective). |
• | X is tubular. |
• | Any two embeddings of M into are conjugate by a unitary . |
18.
José M. Isidro 《Central European Journal of Mathematics》2005,3(2):188-202
Given a complex Hilbert space H, we study the manifold
of algebraic elements in
. We represent
as a disjoint union of closed connected subsets M of Z each of which is an orbit under the action of G, the group of all C*-algebra automorphisms of Z. Those orbits M consisting of hermitian algebraic elements with a fixed finite rank r, (0< r<∞) are real-analytic direct submanifolds of Z. Using the C*-algebra structure of Z, a Banach-manifold structure and a G-invariant torsionfree affine connection ∇ are defined on M, and the geodesics are computed. If M is the orbit of a finite rank projection, then a G-invariant Riemann structure is defined with respect to which ∇ is the
Levi-Civita connection.
Supported by Ministerio de Educación y Cultura of Spain, Research Project BFM2002-01529. 相似文献
19.
We prove that every finite lattice in the variety generated by
M3 is isomorphic
to the congruence lattice of a finite algebra. 相似文献
20.
By way of intersection theory on \(\overline{\mathcal {M}}_{g,n}\), we show that geometric interpretations for conformal blocks, as sections of ample line bundles over projective varieties, do not have to hold at points on the boundary. We show such a translation would imply certain recursion relations for first Chern classes of these bundles. While recursions can fail, geometric interpretations are shown to hold under certain conditions. 相似文献