Web24 de mai. de 2024 · In particular, we determine the GK-dimension of these algebras in full generality, so extending the main result in A. Alahmadi, H. Alsulami, S. K. Jain and E. Zelmanov, Leavitt Path algebras of ... Web3. Dimension of triangulated categories: Rouquier, diagonal, Serre 12 4. Path algebras 16 5. Path algebras of ordered quivers with relations 19 6. Orbifold projective lines and canonical algebras 21 7. Tensor powers of path algebras in Dynkin quivers of type A 25 8. Graded quivers with two vertices 30 9. Some other examples 34 References 39 1 ...
Leavitt Path Algebras of Finite Gelfand-Kirillov Dimension
Web4 de set. de 2012 · Moreover, we find the maximum and the minimum K-dimensions of the Leavitt path algebras of possible trees with a given number of vertices and determine … Web15 de mar. de 2024 · We also characterize ultragraph Leavitt path algebras whose simple modules are finitely presented, and show that these algebras have finite Gelfand-Kirillov dimension. Moreover, we construct new classes of simple modules over ultragraph Leavitt path algebras associated with minimal infinite emitters and minimal sinks, which have … bougie thermorossi mood
CALCULATING DIMENSION OF TRIANGULATED CATEGORIES: …
WebWe extend the results and techniques of [Al] to find a method of constructing projective resolutions for certain simple modules over homomorphic images of path algebras. We provide a number of applications in the case when the image algebra is finite dimensional. Web4. The path algebraof aquiver. 4.1. Paths. For definitions see section 2.1 (In particular: path; head, tail, length of a path; con-catenation; oriented cycle). Lemma. Let Q be a … Web1 de out. de 2024 · Rigidity dimension of algebras is a new homological dimension which measures the quality of resolutions of algebras by algebras of finite global dimension … bougie tchin tchin