Preprojective Partitions and the Determinant of the Hom Matrix

DOI10.2307/2045372zbMath0565.16017OpenAlexW4246736713MaRDI QIDQ3679346

Kiyoshi Igusa, Gordana Todorov

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045372

zbMATH Keywords

pathsdeterminantfinite representation typeindecomposable A-modulespreprojective partition

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Homotopy equivalences in algebraic topology (55P10) Representation theory of associative rings and algebras (16Gxx)

Cites Work

• On the Cartan matrix of an Artin algebra of global dimension two
• A characterization of finite Auslander-Reiten quivers
• The Cartan map on categories of graded modules
• Preprojective modules over Artin algebras
• Preprojective partitions for selfinjective algebras
• Representable functions on the category of modular representations of a finite group with cyclic Sylow subgroup
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• A Note on Preprojective Partitions Over Hereditary Artin Algebras
• The Preprojective Partition for Hereditary Artin Algebras
• Morphisms between preprojective modules over hereditary artin algebras
• Preprojective partitions for trivial extensions of hereditary algebras
• Introduction to Algebraic K-Theory. (AM-72)

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