### Abstract

Let G be a finite group and A a G-graded algebra over a field F of characteristic zero. We characterize the (Formula presented.)-ideals (Formula presented.) of graded identities of A such that the multiplicities (Formula presented.) in the graded cocharacter of A are bounded by one. We do so by exhibiting a set of identities of the (Formula presented.)-ideal. As a consequence we characterize the varieties of G-graded algebras whose lattice of subvarieties is distributive.

Original language | English |
---|---|

Pages (from-to) | 1709-1715 |

Number of pages | 7 |

Journal | LINEAR & MULTILINEAR ALGEBRA |

Volume | 66 |

Publication status | Published - 2018 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

## Fingerprint Dive into the research topics of 'Cocharacters of group graded algebras and multiplicities bounded by one'. Together they form a unique fingerprint.

## Cite this

Giambruno, A., Valenti, A., & Polcino Milies (2018). Cocharacters of group graded algebras and multiplicities bounded by one.

*LINEAR & MULTILINEAR ALGEBRA*,*66*, 1709-1715.