On Z(p)-graded identities and cocharacters of the Grassmann algebra

Autor(es)

Di Vincenzo, Onofrio Mario ; Koshlukov, Plamen ; Tomaz da Silva, Viviane Ribeiro

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 45, n. 1, p. 343-356, 2017.
• Citações Web of Science: 0

Resumo

Let p be an odd prime number, F a field of characteristic zero, and let Ebe the unitary Grassmann algebra generated by the infinite-dimensionalF-vector space L. We determine the bases of the Z(p)-graded identities.Moreover we compute the Z(p)-graded codimension and cocharacter sequences for the algebra E endowed with any Z(p)-grading such that L is a homogeneous subspace. (AU)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático