On the factorization of T-G-ideals of graded matrix algebras

Author(s)

Centrone, Lucio ^[1] ; de Mello, Thiago Castilho ^[2]

Affiliation

^[1] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda, BR-13083859 Campinas, SP - Brazil

^[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Ave Cesare Mansueto Giulio Lattes 1201, BR-12247014 Sao Jose Dos Campos - Brazil

• Document type: Journal article
• Source: BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY; v. 59, n. 3, p. 597-615, SEP 2018.
• Web of Science Citations: 0

Abstract

Let G be a finite abelian group and A be a G-graded algebra satisfying a G-graded polynomial identity. We construct a model for the relatively-free G-graded algebra of the G-graded algebra of block-triangular matrices with entries from A. As a consequence, we prove under some hypothesis on the algebra A the factoring property for the block-triangular matrix algebra i.e., the block triangular matrix algebra such that its blocks are matrix algebras with entries from A. (AU)

• FAPESP's process: 15/08961-5 - Growth of algebras with polynomial identities
• Grantee: Lucio Centrone
• Support Opportunities: Regular Research Grants
• FAPESP's process: 13/06752-4 - Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
• Grantee: Lucio Centrone
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/16838-0 - Basic superrank and subvarieties of T-prime algebras.
• Grantee: Thiago Castilho de Mello
• Support Opportunities: Scholarships in Brazil - Post-Doctoral