Two-sided gluings of tilted algebras

By Ibrahim Assem, F. U. Coelho. 2003

48 citations recorded by the source corpus.

We study the class of algebras A satisfying the property: all but at most finitely many non-isomorphic indecomposable A-modules are such that all their predecessors have projective dimension at most one, or all their successors have injective dimension at most one. Such a class includes the tilted algebras [D. Happel, C. Ringel, Trans. Amer. Math. Soc. 274 (1982) 399–443], the quasi-tilted algebras [D. Happel, I. Reiten, S. Smalo, Mem. Am. Math. Soc. 120 (1996) 575], the shod algebras [F.U. Coelho, M. Lanzilotta, Manuscripta Mathematica 100 (1999) 1–11], the weakly shod [F.U. Coelho, M. Lanzilotta, Preprint, 2001], and the left and right glued algebras [I. Assem, F.U. Coelho, J. Pure Appl. Algebra 96 (3) (1994) 225–243].

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fcf78c4427d5f0fa1cf4041db6b0e38f6c6f4821

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In Algebra and Number Theory

1. María Inés Platzeck
2. Sonia Trepode
3. Ibrahim Assem

In Geometry and Topology

1. María Inés Platzeck
2. Sonia Trepode
3. Ibrahim Assem
4. Ralf Schiffler

Citations in the corpus

• On the representation dimension of tilted and laura algebras (2006, methodology): “In this paper we consider two rather large classes of algebras which play an important role in representation theory, namely, the tilted algebras (see, for instance [21, 1]) and the laura algebras (see, for instance [2, 3, 24]).”