| Vertex algebra is a very active researching field in fundamental mathematics.At present,research on vertex algebras is mainly focused on complex number field.H-module vertex algebra is a kind of very important vertex algebras.H-module vertex algebra is a generalization of quasi vertex operator algebra with zero characteristic on a field of prime characteristic.In this paper,we study some properties of H-module vertex algebras,such as direct sum and tensor product of H-module vertex algebras.We also prove an example of H-module vertex algebras. |
