On the unit group of Z-orders in finite dimensional algebras
Hasse-Schmidt derivations tools for algebra and algebraic geometry
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Antioquia, Inst Matemat, Medellin - Colombia
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | LINEAR & MULTILINEAR ALGEBRA; v. 68, n. 7, p. 1340-1354, JUL 2 2020. |
| Web of Science Citations: | 4 |
| Abstract | |
It is well-known that the space of derivations of n-dimensional evolution algebras with non-singular matrices is zero. On the other hand, the space of derivations of evolution algebras with matrices of rank n-1 have also been completely described in the literature. In this work, we provide a complete description of the space of derivations of evolution algebras associated to graphs, depending on the twin partition of the graph. For graphs without twin classes with at least three elements, we prove that the space of derivations of the associated evolution algebra is zero. Moreover, we describe the spaces of derivations for evolution algebras associated to the remaining families of finite graphs. It is worth pointing out that our analysis includes examples of finite dimensional evolution algebras with matrices of any rank. (AU) | |
| FAPESP's process: | 16/11648-0 - Limit theorems and phase transition results for information propagation models on graphs |
| Grantee: | Pablo Martin Rodriguez |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/19433-5 - 6th Workshop on Probabilistic and Statistical Methods |
| Grantee: | Pablo Martin Rodriguez |
| Support Opportunities: | Organization Grants - Scientific Meeting |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |