Almost laura algebras

Details Almost laura algebras Almost laura algebras

2007-02-19

arxiv.org/abs/math/0702562v3

D. Smith, Almost laura algebras, J. Algebra, 319 (2008), no.1, 432-456.

Mathematics

Rings and Algebras

21 pages, very minor changes, to appear in J. Algebra

Scientific paper

In this paper, we propose a generalization for the class of laura algebras, which we call 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.

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