## Abstract

We describe an efficient way to use the S_{n}-module structure in the computation of the multilinear identities of degree n of a given algebra. The method was used to show that M_{2}(G) (where G is the Grassmann algebra) has identities of degree 8, but of no smaller degree. Explicit identities of degree 8 are given. It was also checked that PIdeg(M_{2,1}(G)) ≥ 9 and that M_{3}(F) has no identities of degree ≤ 8 apart from the consequences of the standard identity S_{6}.

Original language | English |
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Pages (from-to) | 443-454 |

Number of pages | 12 |

Journal | Communications in Algebra |

Volume | 30 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2002 |

Externally published | Yes |

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