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.

Giambruno, A., Polcino Milies, C., Valenti, A. (2018). Cocharacters of group graded algebras and multiplicities bounded by one. LINEAR & MULTILINEAR ALGEBRA, 66(8), 1709-1715 [10.1080/03081087.2017.1369493].

Cocharacters of group graded algebras and multiplicities bounded by one

GIAMBRUNO, Antonino;VALENTI, Angela
2018-01-01

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.
Settore MAT/02 - Algebra
http://www.tandf.co.uk/journals/titles/03081087.asp
Giambruno, A., Polcino Milies, C., Valenti, A. (2018). Cocharacters of group graded algebras and multiplicities bounded by one. LINEAR & MULTILINEAR ALGEBRA, 66(8), 1709-1715 [10.1080/03081087.2017.1369493].
File in questo prodotto:
File Dimensione Formato  
Cocharacters of group graded algebras and multiplicities bounded by one.pdf

Solo gestori archvio

Dimensione 916.9 kB
Formato Adobe PDF
916.9 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/243808
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact