共查询到20条相似文献,搜索用时 31 毫秒
1.
Verbus V. A. Martina L. Protogenov A. P. 《Theoretical and Mathematical Physics》2009,160(1):1058-1065
We consider a universal representation for the Hamiltonian of systems in topologically ordered phase states. We show that
for strongly correlated electronic systems, the Hamiltonian expressed in terms of projectors of the Temperley-Lieb algebra
on the spin singlet state has the form of a two-dimensional Bloch matrix in the case of doubly linked excitation world lines;
in this case, different topological orderings are separated by a quantum critical point where the matrix elements of the Hamiltonian
vanish.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 160, No. 1, pp. 220–228, July, 2009. 相似文献
2.
It is shown that the topologically irreducible representationsof a normed algebra define a certain topological radical inthe same way that the strictly irreducible representations definethe Jacobson radical and that this radical can be strictly smallerthan the Jacobson radical. An abstract theory of topologicalradicals in topological algebras is developed and usedto relate this radical to the Baer radical (prime radical).The relations with topologically transitive representationsand standard representations in the sense of Meyer are alsoexplored. 1991 Mathematics Subject Classification: 46H15, 46H25,16Nxx. 相似文献
3.
本文将指出:对于连续函数空间C(Ω)而言(其中,Ω为某紧度空间),其内任一“(格)理想”必为其(拓扑)可补子空间. 相似文献
4.
Teresa Bermú dez N. J. Kalton 《Proceedings of the American Mathematical Society》2002,130(5):1447-1455
We prove that for every bounded linear operator , where is a non-reflexive quotient of a von Neumann algebra, the point spectrum of is non-empty (i.e., for some the operator fails to have dense range). In particular, and as an application, we obtain that such a space cannot support a topologically transitive operator.
5.
Angelina Y. M. Chin 《Proceedings Mathematical Sciences》2009,119(2):145-148
Let R be a ring with identity. An element in R is said to be clean if it is the sum of a unit and an idempotent. R is said to be clean if all of its elements are clean. If every idempotent in R is central, then R is said to be abelian. In this paper we obtain some conditions equivalent to being clean in an abelian ring. 相似文献
6.
Jeng-Chung Chen Sen-Yen Shaw 《Proceedings of the American Mathematical Society》2006,134(11):3171-3179
For a sequence of continuous linear operators on a separable Fréchet space , we discuss necessary conditions and sufficient conditions for to be topologically mixing, and the relations between topological mixing and the Hypercyclicity Criterion. Among them are: 1) topological mixing is equivalent to being hereditarily densely hypercyclic; 2) the Hypercyclicity Criterion with respect to the full sequence implies topological mixing; 3) topological mixing implies the Hypercyclicity Criterion with respect to some sequence that cannot be syndetic in general, and also implies condition (b) of the Hypercyclicity Criterion with respect to the full sequence. Applications to two examples of operators on the Fréchet space of entire functions are also discussed.
7.
George Costakis Martí n Sambarino 《Proceedings of the American Mathematical Society》2004,132(2):385-389
Let be a separable Fréchet space. We prove that a linear operator satisfying a special case of the Hypercyclicity Criterion is topologically mixing, i.e. for any given open sets there exists a positive integer such that for any We also characterize those weighted backward shift operators that are topologically mixing.
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10.
《代数通讯》2013,41(5):1357-1368
Abstract The paper generalizes some of our previous results on quasi-hereditary Koszul algebras to graded standardly stratified Koszul algebras. The main result states that the class of standardly stratified algebras for which the left standard modules as well as the right proper standard modules possess a linear projective resolution – the so called linearly stratified algebras – is closed under forming their Yoneda extension algebras. This is proved using the technique of Hilbert and Poincaré series of the corresponding modules. 相似文献
11.
Let V ∪SW be a Heegaard splitting of M,such that αM = α-W = F1 ∪ F2 and g(S) = 2g(F1)= 2g(F2). Let V * ∪S*W * be the self-amalgamation of V ∪SW. We show if d(S) 3 then S* is not a topologically minimal surface. 相似文献
12.
ABSTRACT The role played by fields in relation to Galois Rings corresponds to semifields if the associativity is dropped, that is, if we consider Generalized Galois Rings instead of (associative) Galois rings. If S is a Galois ring and pS is the set of zero divisors in S, S* = S\ pS is known to be a finite {multiplicative} Abelian group that is cyclic if, and only if, S is a finite field, or S = ?/n? with n = 4 or n = p r for some odd prime p. Without associativity, S* is not a group, but a loop. The question of when this loop can be generated by a single element is addressed in this article. 相似文献
13.
A diagram algebra in which the diagrams include n rows of n points is constructed. Moreover, we prove that the algebra is cellular and quasi-hereditary. 相似文献
14.
Qi Xia 《高校应用数学学报(英文版)》2010,25(1):117-126
In this paper, we generalize two kinds of graded algebras, δ-Koszul algebras and K p algebras, to the non-graded cases. The trivial modules of δ-Koszul algebras have pure resolutions, while those of K p algebras admit non-pure resolutions. We provide necessary and sufficient conditions for a notherian semiperfect algebra either to be a quasi-δ-Koszul algebra or to be a quasi-K p algebra. 相似文献
15.
The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. 𝒦2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a 𝒦2 algebra would be another 𝒦2 algebra. We show that this is not necessarily the case by constructing a monomial 𝒦2 algebra for which the corresponding Yoneda algebra is not 𝒦2. 相似文献
16.
V. T. Filippov 《Mathematical Notes》1999,65(4):506-509
It is proved that ifS is a simple finite-dimensional anticommutative algebra over a field ϕ of characteristic zero satisfying the identityJ(x, y, z)t=J(t, z, xy)+J(t, y, zx)+J(t, x,yz), whereJ(x, y, z)=(xy)z+(zx)y+(yz)x, thenS is a Lie algebra.
Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 607–611, April, 1999. 相似文献
17.
Antonio J. Calderón Martín 《代数通讯》2017,45(2):866-877
The class of extended Lie-type algebras contains the ones of associative algebras, Lie algebras, Leibniz algebras, dual Leibniz algebras, pre-Lie algebras, and Lie-type algebras, etc. We focus on the class of extended Lie-type algebras graded by an Abelian group G and study its structure, by stating, under certain conditions, a second Wedderburn-type theorem for this class of algebras. 相似文献
18.
WEN Dao-wei 《高校应用数学学报(英文版)》2014,29(1):119-126
In this article, we consider endomorphism algebras of direct sums of some local left ideals over a local algebra and give a construction of quasi-hereditary algebras. 相似文献
19.
We introduce a generalization of the notion of a Koszul algebra, which includes graded algebras with relations in different
degrees, and we establish some of the basic properties of these algebras. This class is closed under twists, twisted tensor
products, regular central extensions and Ore extensions. We explore the monomial algebras in this class and we include some
well-known examples of algebras that fall into this class. 相似文献
20.
We discuss certain homological properties of graded algebras whose trivial modules admit nonpure resolutions. Such algebras include both of Artin–Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with nonpure resolution is decomposed to form an extension by two modules with pure resolutions. 相似文献