Almost laura algebras

作者：Smith David^*

来源：Journal of Algebra, 2008, 319(1): 432-456.

DOI：10.1016/j.jalgebra.2007.08.002

• almost laura algebras
• infinite radical
• laura algebras
• left supported algebras
• skew group algebras

In this paper, we propose a generalization for the class of laura algebras, called almost laura. We show that this new class of algebras retains most of the essential features of laura algebras, especially concerning the important role played by the non-semiregular components in their Auslander-Reiten quivers. Also, we study more intensively the left supported almost laura algebras, showing that these are characterized by the presence of a generalized standard, convex and faithful component. Finally, we prove that almost laura algebras behave well with respect to full subcategories, split-by-nilpotent extensions and skew group algebras.

• 出版日期2008-1-1