A family of algebras with two simple modules and Fibonacci numbers

DOI10.1007/BF01189999zbMath0812.16009OpenAlexW2090297215MaRDI QIDQ1193248

Dieter Happel

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189999

zbMATH Keywords

finite dimensional algebrassimple modulesglobal dimensionFibonacci numbersderived equivalentquasi hereditary algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (14)

Koszulity and Koszul modules of dual extension algebras ⋮ Reducing homological conjectures by \(n\)-recollements ⋮ Jordan-Hölder theorems for derived categories of derived discrete algebras ⋮ Smooth and proper noncommutative schemes and gluing of dg categories ⋮ Quasi-hereditary algebras with two simple modules and fibonacci numbers ⋮ Blocks of group algebras are derived simple. ⋮ Examples of finite dimensional algebras which do not satisfy the derived Jordan-Hölder property ⋮ Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras. ⋮ Embeddings of algebras in derived categories of surfaces ⋮ Stratifying derived module categories ⋮ On the uniqueness of stratifications of derived module categories. ⋮ A construction of algebras with arbitrary finite global dimensions ⋮ Proper connective differential graded algebras and their geometric realizations ⋮ Algebras of Finite Global Dimension

Cites Work

• On the derived category of a finite-dimensional algebra
• Projective resolutions over Artin algebras with zero relations
• Algebras with Large Homological Dimensions
• Bounding the Global Dimension in Terms of the Dimension
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