1 3 D ec 2 00 7 PRIME SPECTRUM AND PRIMITIVE LEAVITT PATH ALGEBRAS
نویسندگان
چکیده
In this paper a bijection between the set of prime ideals of a Leavitt path algebra L K (E) and a certain set which involves maximal tails in E and the prime spectrum of K[x, x −1 ] is established. Necessary and sufficient conditions on the graph E so that the Leavitt path algebra L K (E) is primitive are also found.
منابع مشابه
N ov 2 00 2 QUANTIZED COORDINATE RINGS AND RELATED NOETHERIAN
This paper contains a survey of some ring-theoretic aspects of quantized coordinate rings, with primary focus on the prime and primitive spectra. For these algebras, the overall structure of the prime spectrum is governed by a partition into strata determined by the action of a suitable group of automorphisms of the algebra. We discuss this stratification in detail, as well as its use in determ...
متن کاملResearch of Edward S. Letzter
1. Summary. My prior and current research is primarily concerned with the internal structure, representation theory, and \noncommutative aane geometry" of certain classes of associative algebras. The examples directly involved arise from algebraic quantum groups, nite dimensional Lie superalgebras, and polycyclic-by-nite-groups; in particular, Hopf (super)algebras play an essential part. My foc...
متن کاملStratification of prime spectrum of quantum solvable algebras
1 Introduction. We consider the class of Noetherian ring, appeared as a result of quantization of algebraic groups and their representations within framework of mathematical physics. One set up the problem of description of prime and primitive spectrum of these rings. This problem has been solved first for algebras of low dimension , then for the case GL q (n), later for general case of regular...
متن کاملar X iv : m at h / 05 09 50 5 v 2 [ m at h . G R ] 8 O ct 2 00 5 The Number of Finite Groups Whose Element Orders is Given
The spectrum ω(G) of a finite group G is the set of element orders of G. If Ω is a non-empty subset of the set of natural numbers, h(Ω) stands for the number of isomorphism classes of finite groups G with ω(G) = Ω and put h(G) = h(ω(G)). We say that G is recognizable (by spectrum ω(G)) if h(G) = 1. The group G is almost recognizable (resp. nonrecognizable) if 1 < h(G) < ∞ (resp. h(G) = ∞). In t...
متن کاملSpectra of Quantized Hyperalgebras
We describe the prime and primitive spectra for quantized enveloping algebras at roots of 1 in characteristic zero in terms of the prime spectrum of the underlying enveloping algebra. Our methods come from the theory of Hopf algebra crossed products. For primitive ideals we obtain an analogue of Duflo’s Theorem, which says that every primitive ideal is the annihilator of a simple highest weight...
متن کامل